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## Chen, Yangquan

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 Author ID: chen.yangquan Published as: Chen, Yangquan; Chen, YangQuan; Chen, Yang Quan; Chen, Y.; Chen, Y. Q.; Chen, Yang-quan; Chen, Yang-Quan External Links: ORCID · Wikidata · Google Scholar · ResearchGate · dblp · IdRef · theses.fr
 Documents Indexed: 170 Publications since 1997, including 15 Books
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#### Co-Authors

 2 single-authored 16 Ahn, Hyo-Sung 16 Ge, Fudong 16 Podlubny, Igor 15 Li, Yan 13 Li, Changpin 13 Xue, Dingyu 12 Moore, Kevin L. 10 Vinagre, Blas Manuel 9 Kou, Chunhai 9 Sheng, Hu 8 Zeng, Caibin 5 Jiao, Zhuang 5 Lu, Junguo 5 Luo, Ying 5 Sun, Hongguang 5 Wen, Changyun 5 Yang, Qigui 4 Chen, Dali 4 Yin, Chun 4 Zhong, Shou-Ming 3 Bai, Zhanbing 3 Liang, Jinsong 3 Liu, Lu 3 Petras, Ivo 3 Qiu, Tianshuang 3 Sun, Mingxuan 3 Sun, Sujing 2 Băleanu, Dumitru I. 2 Cai, Ruiyang 2 Cao, Jianxiong 2 Cao, Kecai 2 Chen, Weidong 2 Chen, Wen 2 Cheng, Yuhua 2 Dadras, Sara 2 Ding, Hengfei 2 Domański, Paweł D. 2 Feliu, Vicente 2 Jiang, Ping 2 Monje, Concepción Alicia 2 Qian, Deliang 2 Skovranek, Tomas 2 Tian, Guohui 2 Tricaud, Christophe 2 Vinagre Jara, Blas Manuel 2 Zhang, Shuo 1 Agarwal, Praveen 1 Ashurov, Ravshan R. 1 Atherton, Derek P. 1 Aziz, T. Z. 1 Bahl, Vikas 1 Bao, Bocheng 1 Bao, Han 1 Bhambhani, Varsha 1 Bigoni, Daniele 1 Calderon, Antonio J. 1 Cao, Junyi 1 Cao, Lili 1 Chao, Haiyang 1 Chechkin, Aleksei V. 1 Chen, Diyi 1 Chen, Liping 1 Chen, Mo 1 Chen, Wen 1 Chen, Xiaolu 1 Cheng, Heng-Da 1 Dehghan, Sina 1 Deshpande, Vikram S. 1 Dharmasena, K. P. 1 Dou, Huifang 1 Du, Zengji 1 Dudt, P. 1 Evans, Anthony G. 1 Fei, Shumin 1 Fullmer, Rees 1 Ghosh, Mohua 1 Gong, Zhiming 1 Gong, Ziqing 1 Guo, Bao-Zhu 1 Guo, Lihong 1 Guo, Peng 1 Huang, Jiacai 1 Huang, Jianhua 1 Huang, Ruoyun 1 Huang, Xuegang 1 Ionescu, Clara Mihaela 1 Jiang, Bin 1 Kim, Youngsoo 1 Kiryakova, Virginia S. 1 Kurths, Jürgen 1 Lee, Tong Heng 1 Li, Chunhao 1 Li, Hongsheng 1 Li, Zhuo 1 Li, Ziyu 1 Lian, Hairong 1 Lian, Zhigang 1 Liao, Xiaozhong 1 Liu, Baodong 1 Lv, Chunwan ...and 67 more Co-Authors
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#### Serials

 20 Fractional Calculus & Applied Analysis 14 Automatica 10 Nonlinear Dynamics 8 Signal Processing 7 Computers & Mathematics with Applications 5 International Journal of Control 5 Journal of the Franklin Institute 5 International Journal of Robust and Nonlinear Control 5 Abstract and Applied Analysis 4 Applied Mathematics and Computation 4 IEEE Transactions on Automatic Control 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Communications in Nonlinear Science and Numerical Simulation 4 Asian Journal of Control 3 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 Control Theory & Applications 2 Journal of Computational Physics 2 IMA Journal of Mathematical Control and Information 2 Applied Mathematical Modelling 2 Journal of Vibration and Control 2 Chaos 2 International Journal of Differential Equations 2 International Journal of Systems Science. Principles and Applications of Systems and Integration 1 Inverse Problems 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Physics Letters. A 1 Chaos, Solitons and Fractals 1 Information Sciences 1 Journal of Optimization Theory and Applications 1 Meccanica 1 Systems & Control Letters 1 International Journal of Adaptive Control and Signal Processing 1 IEEE Transactions on Circuits and Systems. I: Fundamental Theory and Applications 1 International Journal of Computer Mathematics 1 The Journal of Artificial Intelligence Research (JAIR) 1 Complexity 1 Mathematical Problems in Engineering 1 European Journal of Control 1 Discrete Dynamics in Nature and Society 1 European Journal of Mechanics. A. Solids 1 International Journal of Applied Mathematics and Computer Science 1 Entropy 1 Sādhanā 1 Control and Intelligent Systems 1 New Mathematics and Natural Computation 1 Lecture Notes in Control and Information Sciences 1 Advances in Design and Control 1 Numerical Mathematics: Theory, Methods and Applications 1 IET Control Theory & Applications 1 Scientia Iranica. Transaction B: Mechanical Engineering 1 Algorithms 1 Fluctuation and Noise Letters (FNL) 1 Mathematical Control and Related Fields 1 Springer Proceedings in Mathematics & Statistics 1 Signals and Communication Technology 1 Fractional Calculus in Applied Sciences and Engineering 1 SpringerBriefs in Electrical and Computer Engineering 1 Advances in Industrial Control 1 Communications and Control Engineering 1 Encyclopedia of Complexity and Systems Science Series
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#### Fields

 102 Systems theory; control (93-XX) 53 Ordinary differential equations (34-XX) 45 Real functions (26-XX) 26 Partial differential equations (35-XX) 21 Numerical analysis (65-XX) 18 Computer science (68-XX) 14 Information and communication theory, circuits (94-XX) 13 Probability theory and stochastic processes (60-XX) 7 General and overarching topics; collections (00-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 4 Special functions (33-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Statistics (62-XX) 4 Mechanics of particles and systems (70-XX) 4 Mechanics of deformable solids (74-XX) 4 Operations research, mathematical programming (90-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Biology and other natural sciences (92-XX) 3 Optics, electromagnetic theory (78-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Integral transforms, operational calculus (44-XX) 2 Integral equations (45-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Quantum theory (81-XX)

#### Citations contained in zbMATH Open

139 Publications have been cited 3,453 times in 2,263 Documents Cited by Year
Mittag-Leffler stability of fractional order nonlinear dynamic systems. Zbl 1185.93062
Li, Yan; Chen, Yangquan; Podlubny, Igor
2009
Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability. Zbl 1189.34015
Li, Yan; Chen, Yangquan; Podlubny, Igor
2010
Fractional-order systems and controls. Fundamentals and applications. Zbl 1211.93002
Monje, Concepción Alicia; Chen, YangQuan; Vinagre, Blas Manuel; Xue, Dingyü; Feliu, Vicente
2010
Numerical approximation of nonlinear fractional differential equations with subdiffusion and superdiffusion. Zbl 1228.65190
Li, Changpin; Zhao, Zhengang; Chen, Yangquan
2011
Matrix approach to discrete fractional calculus. II: Partial fractional differential equations. Zbl 1160.65308
Podlubny, Igor; Chechkin, Aleksei; Skovranek, Tomas; Chen, Yangquan; Vinagre Jara, Blas M.
2009
Robust stability and stabilization of fractional-order interval systems with the fractional order $$\alpha$$: the $$0<\alpha<1$$ case. Zbl 1368.93506
Lu, Jun-Guo; Chen, Yang-Quan
2010
Discretization schemes for fractional-order differentiators and integrators. Zbl 1368.65035
Chen, Yang Quan; Moore, Kevin L.
2002
Analytical stability bound for a class of delayed fractional-order dynamic systems. Zbl 1020.34064
Chen, Yangquan; Moore, Kevin L.
2002
Necessary and sufficient stability condition of fractional-order interval linear systems. Zbl 1152.93455
Ahn, Hyo-Sung; Chen, Yangquan
2008
Two direct Tustin discretization methods for fractional-order differentiator/integrator. Zbl 1051.93031
Vinagre, Blas M.; Chen, Yang Quan; Petráš, Ivo
2003
Fractional-order sliding mode based extremum seeking control of a class of nonlinear systems. Zbl 1309.93041
Yin, Chun; Chen, YangQuan; Zhong, Shou-ming
2014
An approximate method for numerically solving fractional order optimal control problems of general form. Zbl 1189.49045
Tricaud, Christophe; Chen, Yangquan
2010
Robust stability check of fractional order linear time invariant systems with interval uncertainties. Zbl 1172.94385
Chen, Yangquan; Ahn, Hyo-Sung; Podlubny, Igor
2006
Continued fraction expansion approaches to discretizing fractional order derivatives-an expository review. Zbl 1134.93300
Chen, Yangquan; Vinagre, Blas M.; Podlubny, Igor
2004
High-order algorithms for Riesz derivative and their applications. II. Zbl 1349.65284
Ding, Hengfei; Li, Changpin; Chen, YangQuan
2015
Fractional-order iterative learning control for fractional-order linear systems. Zbl 1248.93085
Li, Yan; Chen, YangQuan; Ahn, Hyo-Sung
2011
Robust stability test of a class of linear time-invariant interval fractional-order system using Lyapunov inequality. Zbl 1123.93074
Ahn, Hyo-Sung; Chen, Yangquan; Podlubny, Igor
2007
A new collection of real world applications of fractional calculus in science and engineering. Zbl 07265270
Sun, HongGuang; Zhang, Yong; Baleanu, Dumitru; Chen, Wen; Chen, YangQuan
2018
Distributed-order dynamic systems. Stability, simulation, applications and perspectives. Zbl 1401.93005
Jiao, Zhuang; Chen, YangQuan; Podlubny, Igor
2012
Using fractional order adjustment rules and fractional order reference models in model-reference adaptive control. Zbl 1031.93110
Vinagre, B. M.; Petráš, I.; Podlubny, I.; Chen, Y. Q.
2002
Finite difference schemes for variable-order time fractional diffusion equation. Zbl 1258.65079
Sun, Hongguang; Chen, Wen; Li, Changpin; Chen, Yangquan
2012
Iterative learning control. Robustness and monotonic convergence for interval systems. Zbl 1162.93025
Ahn, Hyo-Sung; Moore, Kevin L.; Chen, YangQuan
2007
A new IIR-type digital fractional order differentiator. Zbl 1145.93423
Chen, Yangquan; Vinagre, Blas M.
2003
Robust controllability of interval fractional order linear time invariant systems. Zbl 1172.94386
Chen, Yangquan; Ahn, Hyo-Sung; Xue, Dingyü
2006
Fractional order [proportional derivative] controller for a class of fractional order systems. Zbl 1183.93053
Luo, Ying; Chen, Yangquan
2009
Adaptive fractional-order switching-type control method design for 3D fractional-order nonlinear systems. Zbl 1348.93216
Yin, Chun; Cheng, Yuhua; Chen, Yangquan; Stark, Brandon; Zhong, Shouming
2015
Control of a novel class of fractional-order chaotic systems via adaptive sliding mode control approach. Zbl 1349.93237
Yin, Chun; Dadras, Sara; Zhong, Shou-Ming; Chen, Yangquan
2013
Fractional processes and fractional-order signal processing. Techniques and applications. Zbl 1245.94004
Sheng, Hu; Chen, YangQuan; Qiu, TianShuang
2012
On Riemann-Liouville and Caputo derivatives. Zbl 1213.26008
Li, Changpin; Qian, Deliang; Chen, Yangquan
2011
On fractional $$PI^{\lambda }$$ controllers: Some tuning rules for robustness to plant uncertainties. Zbl 1134.93338
Monje, Concepción A.; Calderon, Antonio J.; Vinagre, Blas M.; Chen, Yangquan; Feliu, Vicente
2004
On the existence of blow up solutions for a class of fractional differential equations. Zbl 1312.34007
Bai, Zhanbing; Chen, YangQuan; Lian, Hairong; Sun, Sujing
2014
Analysis of a high-order iterative learning control algorithm for uncertain nonlinear systems with state delays. Zbl 0912.93031
Chen, Yangquan; Gong, Zhiming; Wen, Changyun
1998
High-order approximation to Caputo derivatives and Caputo-type advection-diffusion equations. II. Zbl 1325.65121
Cao, Jianxiong; Li, Changpin; Chen, YangQuan
2015
Application of numerical inverse Laplace transform algorithms in fractional calculus. Zbl 1210.65201
Sheng, Hu; Li, Yan; Chen, YangQuan
2011
An iterative learning controller with initial state learning. Zbl 1056.93646
Chen, Y.; Wen, C.; Gong, Z.; Sun, M.
1999
Random-order fractional differential equation models. Zbl 1203.94056
Sun, HongGuang; Chen, YangQuan; Chen, Wen
2011
Stability analysis of discrete-time iterative learning control systems with interval uncertainty. Zbl 1117.93075
Ahn, Hyo-Sung; Moore, Kevin L.; Chen, Yangquan
2007
Iterative learning control and repetitive control in hard disk drive industry – a tutorial. Zbl 1284.93269
Chen, YangQuan; Moore, Kevin L.; Yu, Jie; Zhang, Tao
2008
Trajectory-keeping in satellite formation flying via robust periodic learning control. Zbl 1204.93082
Ahn, Hyo-Sung; Moore, Kevin L.; Chen, Yangquan
2010
Iterative learning control. Convergence, robustness and applications. Zbl 0949.93002
Chen, Yangquan; Wen, Changyun
1999
On mean square displacement behaviors of anomalous diffusions with variable and random orders. Zbl 1235.82018
Sun, Hongguang; Chen, Wen; Sheng, Hu; Chen, Yangquan
2010
Matrix approach to discrete fractional calculus. III: Non-equidistant grids, variable step length and distributed orders. Zbl 1339.65094
Podlubny, Igor; Skovranek, Tomas; Vinagre Jara, Blas M.; Petras, Ivo; Verbitsky, Viktor; Chen, YangQuan
2013
On the bound of the Lyapunov exponents for the fractional differential systems. Zbl 1311.34016
Li, Changpin; Gong, Ziqing; Qian, Deliang; Chen, YangQuan
2010
Asymptotical stability of nonlinear fractional differential system with Caputo derivative. Zbl 1239.34008
Zhang, Fengrong; Li, Changpin; Chen, Yangquan
2011
Convergence speed of a fractional order consensus algorithm over undirected scale-free networks. Zbl 1263.93013
Sun, Wei; Li, Yan; Li, Changpin; Chen, Yangquan
2011
Time-optimal control of systems with fractional dynamics. Zbl 1203.49031
Tricaud, Christophe; Chen, Yangquan
2010
Stability and stabilization of fractional-order linear systems with convex polytopic uncertainties. Zbl 1312.93081
Lu, Jun-Guo; Chen, YangQuan
2013
A survey on fractional-order iterative learning control. Zbl 1263.93100
Li, Yan; Chen, YangQuan; Ahn, Hyo-Sung; Tian, Guohui
2013
A fractional adaptation scheme for lateral control of an AGV. Zbl 1229.70086
Suárez, José I.; Vinagre, Blas M.; Chen, Yangquan
2008
Terminal iterative learning control with an application to RTPCVD thickness control. Zbl 0953.93508
Xu, Jian-Xin; Chen, Yangquan; Lee, Tong Heng; Yamamoto, Shigehiko
1999
Stabilizing and robust fractional order PI controller synthesis for first order plus time delay systems. Zbl 1257.93039
Luo, Ying; Chen, Yangquan
2012
Synthesis of multifractional Gaussian noises based on variable-order fractional operators. Zbl 1213.94049
Sheng, Hu; Sun, Hongguang; Chen, Yangquan; Qiu, Tianshuang
2011
Monotonically convergent iterative learning control for linear discrete-time systems. Zbl 1086.93066
Moore, Kevin L.; Chen, Yangquan; Bahl, Vikas
2005
Fractional calculus in image processing: a review. Zbl 06663383
Yang, Qi; Chen, Dali; Zhao, Tiebiao; Chen, YangQuan
2016
Numerics for the fractional Langevin equation driven by the fractional Brownian motion. Zbl 1312.34093
Guo, Peng; Zeng, Caibin; Li, Changpin; Chen, YangQuan
2013
Iteration domain $$H_{\infty }$$-optimal iterative learning controller design. Zbl 1284.93104
Moore, Kevin L.; Ahn, Hyo-Sung; Chen, Yang Quan
2008
Hybrid symbolic and numerical simulation studies of time-fractional order wave-diffusion systems. Zbl 1125.65364
Liang, J.; Chen, Y. Q.
2006
Analytical stability bound for delayed second-order systems with repeating poles using Lambert function $$W$$. Zbl 1020.93019
Chen, Yang Quan; Moore, Kevin L.
2002
Global Padé approximations of the generalized Mittag-Leffler function and its inverse. Zbl 1333.26007
Zeng, Caibin; Chen, Yang Quan
2015
Solving nonlinear stochastic differential equations with fractional Brownian motion using reducibility approach. Zbl 1246.60084
Zeng, Caibin; Yang, Qigui; Chen, Yang Quan
2012
Fractional-order total variation image denoising based on proximity algorithm. Zbl 1338.68273
Chen, Dali; Chen, YangQuan; Xue, Dingyu
2015
Linear feedback control. Analysis and design with Matlab. Zbl 1143.93002
Xue, Dingyü; Chen, YangQuan; Atherton, Derek P.
2007
The fBm-driven Ornstein-Uhlenbeck process: probability density function and anomalous diffusion. Zbl 1274.60127
Zeng, Caibin; Chen, Yangquan; Yang, Qigui
2012
Boundary stabilization and disturbance rejection for time fractional order diffusion-wave equations. Zbl 1094.74042
Liang, Jinsong; Chen, Yangquan; Fullmer, Rees
2004
A robust high-order $$P$$-type iterative learning controller using current iteration tracking error. Zbl 0886.93036
Chen, Yangquan; Wen, Changyun; Sun, Mingxuan
1997
Compact difference method for solving the fractional reaction-subdiffusion equation with Neumann boundary value condition. Zbl 1308.65140
Cao, Jianxiong; Li, Changpin; Chen, Yangquan
2015
Stability analysis of fractional-order systems with double noncommensurate orders for matrix case. Zbl 1273.93143
Jiao, Zhuang; Chen, Yangquan
2011
A review and evaluation of numerical tools for fractional calculus and fractional order controls. Zbl 1367.93205
Li, Zhuo; Liu, Lu; Dehghan, Sina; Chen, Yangquan; Xue, Dingyü
2017
Regional analysis of time-fractional diffusion processes. Zbl 1382.93002
Ge, Fudong; Chen, YangQuan; Kou, Chunhai
2018
High-order algorithms for Riesz derivative and their applications. I. Zbl 1434.65113
Ding, Hengfei; Li, Changpin; Chen, YangQuan
2014
Almost sure and moment stability properties of fractional order Black-Scholes model. Zbl 1333.60132
Zeng, Caibin; Chen, YangQuan; Yang, Qigui
2013
Fractional-order total variation image restoration based on primal-dual algorithm. Zbl 1364.94091
Chen, Dali; Chen, Yang Quan; Xue, Dingyu
2013
Monotonic convergent iterative learning controller design based on interval model conversion. Zbl 1366.93714
Ahn, Hyo-Sung; Moore, Kevin L.; Chen, YangQuan
2006
Fractional-order exponential switching technique to enhance sliding mode control. Zbl 1443.93023
Yin, Chun; Huang, Xuegang; Chen, Yangquan; Dadras, Sara; Zhong, Shou-ming; Cheng, Yuhua
2017
FARIMA with stable innovations model of Great Salt Lake elevation time series. Zbl 1203.94053
Sheng, Hu; Chen, YangQuan
2011
Fractional calculus and its applications. Zbl 1338.00072
Li, Changpin (ed.); Chen, YangQuan (ed.); Kurths, Jürgen (ed.)
2013
Dynamic multi-attribute decision making model based on triangular intuitionistic fuzzy numbers. Zbl 1277.91035
Chen, Y.; Li, B.
2011
On distributed order integrator/differentiator. Zbl 1219.94039
Li, Yan; Sheng, Hu; Chen, Yang Quan
2011
Robust asymptotical stability of fractional-order linear systems with structured perturbations. Zbl 1345.93125
Lu, Jun-Guo; Chen, Yangquan; Chen, Weidong
2013
On the regional gradient observability of time fractional diffusion processes. Zbl 1348.93054
Ge, Fudong; Chen, Yang Quan; Kou, Chunhai
2016
On the regional controllability of the sub-diffusion process with Caputo fractional derivative. Zbl 06663385
Ge, Fudong; Chen, YangQuan; Kou, Chunhai; Podlubny, Igor
2016
Analytical impulse response of a fractional second order filter and its impulse response invariant discretization. Zbl 1203.94039
Li, Yan; Sheng, Hu; Chen, YangQuan
2011
Optimal observation for cyber-physical systems. A Fisher-information-matrix-based approach. Zbl 1219.93002
Song, Zhen; Chen, YangQuan; Sastry, Chellury Ram; Tas, Nazif Cihan
2009
Robust stability bounds of uncertain fractional-order systems. Zbl 1312.34021
Ma, YingDong; Lu, Jun-Guo; Chen, WeiDong; Chen, YangQuan
2014
Regional gradient controllability of sub-diffusion processes. Zbl 1339.93025
Ge, Fudong; Chen, YangQuan; Kou, Chunhai
2016
Genetic algorithm-based identification of fractional-order systems. Zbl 1297.93062
Zhou, Shengxi; Cao, Junyi; Chen, Yangquan
2013
Robust position control of PMSM using fractional-order sliding mode controller. Zbl 1256.93053
Huang, Jiacai; Li, Hongsheng; Chen, Yangquan; Xu, Qinghong
2012
Robust stability analysis for fractional-order systems with time delay based on finite spectrum assignment. Zbl 1418.93213
Liu, Lu; Zhang, Shuo; Xue, Dingyu; Chen, Yangquan
2019
Stability analysis of nonlinear Hadamard fractional differential system. Zbl 1418.34111
Wang, Guotao; Pei, Ke; Chen, YangQuan
2019
Robust decentralized control of perturbed fractional-order linear interconnected systems. Zbl 1345.93140
Li, Jun; Lu, Jun-Guo; Chen, Yangquan
2013
Optimal random search, fractional dynamics and fractional calculus. Zbl 1305.26021
Zeng, Caibin; Chen, Yangquan
2014
Fractional order signal processing of electrochemical noises. Zbl 1229.78018
Chen, Yangquan; Sun, Rongtao; Zhou, Anhong; Zaveri, Nikita
2008
Stability of fractional-order linear time-invariant systems with multiple noncommensurate orders. Zbl 1268.34018
Jiao, Zhuang; Chen, Yang Quan
2012
Impulse response of a generalized fractional second order filter. Zbl 1269.93121
Jiao, Zhuang; Chen, Yangquan
2012
Fractional-order variational optical flow model for motion estimation. Zbl 1342.49028
Chen, Dali; Sheng, Hu; Chen, YangQuan; Xue, Dingyü
2013
Exact maximum singular value calculation of an interval matrix. Zbl 1367.65054
Ahn, Hyo-Sung; Chen, YangQuan
2007
An interval Kalman filtering with minimal conservatism. Zbl 1245.93128
Ahn, Hyo-Sung; Kim, Young-Soo; Chen, Yangquan
2012
Fractional order disturbance observer for robust vibration suppression. Zbl 1142.74334
Chen, Yangquan; Vinagre, Blas M.; Podlubny, Igor
2004
Suboptimum $$H_2$$ pseudo-rational approximations to fractional-order linear time invariant systems. Zbl 1127.65044
Xue, Dingyü; Chen, Yangquan
2007
Robustness of fractional-order boundary control of time fractional wave equations with delayed boundary measurement using the simple predictor. Zbl 1125.93029
Liang, Jinsong; Zhang, Weiwei; Chen, Yangquan; Podlubny, Igor
2007
Stability and resonance analysis of a general non-commensurate elementary fractional-order system. Zbl 1441.93211
Zhang, Shuo; Liu, Lu; Xue, Dingyu; Chen, YangQuan
2020
Data-driven forward discretizations for Bayesian inversion. Zbl 1450.62136
Bigoni, D.; Chen, Y.; Trillos, N. Garcia; Marzouk, Y.; Sanz-Alonso, D.
2020
Distribution consensus of nonlinear stochastic multi-agent systems based on sliding-mode control with probability density function compensation. Zbl 1448.93306
Wang, Jing; Zhang, Xuerou; Zhou, Jinglin; Chen, Yangquan
2020
The Green function for a class of Caputo fractional differential equations with a convection term. Zbl 07268202
Bai, Zhanbing; Sun, Sujing; Du, Zengji; Chen, YangQuan
2020
Robust stability analysis for fractional-order systems with time delay based on finite spectrum assignment. Zbl 1418.93213
Liu, Lu; Zhang, Shuo; Xue, Dingyu; Chen, Yangquan
2019
Stability analysis of nonlinear Hadamard fractional differential system. Zbl 1418.34111
Wang, Guotao; Pei, Ke; Chen, YangQuan
2019
Fractional calculus. Selected papers from the international conference on fractional differentiation and its applications (ICFDA 2018), Amman, Jordan, July 16–18, 2018. Zbl 1444.26001
Agarwal, Praveen; Baleanu, Dumitru; Chen, YangQuan; Momani, Shaher; Tenreiro Machado, José António
2019
Finite energy Lyapunov function candidate for fractional order general nonlinear systems. Zbl 07264511
Li, Yan; Zhao, Daduan; Chen, YangQuan; Podlubny, Igor; Zhang, Chenghui
2019
Mittag-Leffler stabilization for an unstable time-fractional anomalous diffusion equation with boundary control matched disturbance. Zbl 1426.93310
Zhou, Hua-Cheng; Lv, Chunwan; Guo, Bao-Zhu; Chen, Yangquan
2019
Complex dynamical behaviors of a fractional-order system based on a locally active memristor. Zbl 1435.34057
Yu, Yajuan; Bao, Han; Shi, Min; Bao, Bocheng; Chen, Yangquan; Chen, Mo
2019
Regional observability for Hadamard-Caputo time fractional distributed parameter systems. Zbl 1428.34011
Cai, Ruiyang; Ge, Fudong; Chen, YangQuan; Kou, Chunhai
2019
Event-triggered boundary feedback control for networked reaction-subdiffusion processes with input uncertainties. Zbl 1457.93057
Ge, Fudong; Chen, YangQuan
2019
Robust dissipativity and dissipation of a class of fractional-order uncertain linear systems. Zbl 1432.93297
Chen, Liping; Yin, Hao; Wu, Ranchao; Yin, Lisheng; Chen, Yangquan
2019
State-of-art survey of fractional order modeling and estimation methods for Lithium-ion batteries. Zbl 1436.78006
Wang, YaNan; Chen, YangQuan; Liao, XiaoZhong
2019
A new collection of real world applications of fractional calculus in science and engineering. Zbl 07265270
Sun, HongGuang; Zhang, Yong; Baleanu, Dumitru; Chen, Wen; Chen, YangQuan
2018
Regional analysis of time-fractional diffusion processes. Zbl 1382.93002
Ge, Fudong; Chen, YangQuan; Kou, Chunhai
2018
A novel method for control performance assessment with fractional order signal processing and its application to semiconductor manufacturing. Zbl 1461.94039
Liu, Kai; Chen, Yangquan; Domański, Paweł D.; Zhang, Xi
2018
Mittag-Leffler convergent backstepping observers for coupled semilinear subdiffusion systems with spatially varying parameters. Zbl 1408.93097
Ge, Fudong; Meurer, Thomas; Chen, YangQuan
2018
A review and evaluation of numerical tools for fractional calculus and fractional order controls. Zbl 1367.93205
Li, Zhuo; Liu, Lu; Dehghan, Sina; Chen, Yangquan; Xue, Dingyü
2017
Fractional-order exponential switching technique to enhance sliding mode control. Zbl 1443.93023
Yin, Chun; Huang, Xuegang; Chen, Yangquan; Dadras, Sara; Zhong, Shou-ming; Cheng, Yuhua
2017
Regional controllability analysis of fractional diffusion equations with Riemann-Liouville time fractional derivatives. Zbl 1352.93022
Ge, Fudong; Chen, YangQuan; Kou, Chunhai
2017
Actuator characterisations to achieve approximate controllability for a class of fractional sub-diffusion equations. Zbl 1367.93069
Ge, Fudong; Chen, Yangquan; Kou, Chunhai
2017
Special issue: Applied fractional calculus in modelling, analysis and design of control systems. Zbl 1368.00050
Chen, Yangquan; Ionescu, Clara
2017
Regional boundary controllability of time fractional diffusion processes. Zbl 1417.93069
Ge, Fudong; Chen, YangQuan; Kou, Chunhai
2017
Reply to “Comments on ‘Mittag-Leffler stability of fractional order nonlinear dynamic systems’ [Automatica 45(8) (2009) 1965-1969]”. Zbl 1351.93074
Li, Yan; Chen, YangQuan; Podlubny, Igor
2017
Extended Luenberger-type observer for a class of semilinear time fractional diffusion systems. Zbl 1374.93170
Ge, Fudong; Chen, YangQuan
2017
Fractional calculus in image processing: a review. Zbl 06663383
Yang, Qi; Chen, Dali; Zhao, Tiebiao; Chen, YangQuan
2016
On the regional gradient observability of time fractional diffusion processes. Zbl 1348.93054
Ge, Fudong; Chen, Yang Quan; Kou, Chunhai
2016
On the regional controllability of the sub-diffusion process with Caputo fractional derivative. Zbl 06663385
Ge, Fudong; Chen, YangQuan; Kou, Chunhai; Podlubny, Igor
2016
Regional gradient controllability of sub-diffusion processes. Zbl 1339.93025
Ge, Fudong; Chen, YangQuan; Kou, Chunhai
2016
Bifurcation dynamics of the tempered fractional Langevin equation. Zbl 1378.60066
Zeng, Caibin; Yang, Qigui; Chen, YangQuan
2016
Scientific computing with MATLAB. 2nd edition. Zbl 1344.65001
Xue, Dingyü; Chen, YangQuan
2016
High-order algorithms for Riesz derivative and their applications. II. Zbl 1349.65284
Ding, Hengfei; Li, Changpin; Chen, YangQuan
2015
Adaptive fractional-order switching-type control method design for 3D fractional-order nonlinear systems. Zbl 1348.93216
Yin, Chun; Cheng, Yuhua; Chen, Yangquan; Stark, Brandon; Zhong, Shouming
2015
High-order approximation to Caputo derivatives and Caputo-type advection-diffusion equations. II. Zbl 1325.65121
Cao, Jianxiong; Li, Changpin; Chen, YangQuan
2015
Global Padé approximations of the generalized Mittag-Leffler function and its inverse. Zbl 1333.26007
Zeng, Caibin; Chen, Yang Quan
2015
Fractional-order total variation image denoising based on proximity algorithm. Zbl 1338.68273
Chen, Dali; Chen, YangQuan; Xue, Dingyu
2015
Compact difference method for solving the fractional reaction-subdiffusion equation with Neumann boundary value condition. Zbl 1308.65140
Cao, Jianxiong; Li, Changpin; Chen, Yangquan
2015
Output consensus for multiple non-holonomic systems under directed communication topology. Zbl 1316.93010
Xu, Yaojin; Tian, Yu-Ping; Chen, Yangquan
2015
Cooperative control design for non-holonomic chained-form systems. Zbl 1332.93009
Cao, Ke-Cai; Jiang, Bin; Chen, Yangquan
2015
Modeling, analysis and design of control systems in MATLAB and Simulink. Zbl 1305.93005
Xue, Dingyü; Chen, YangQuan
2015
Fractional-order sliding mode based extremum seeking control of a class of nonlinear systems. Zbl 1309.93041
Yin, Chun; Chen, YangQuan; Zhong, Shou-ming
2014
On the existence of blow up solutions for a class of fractional differential equations. Zbl 1312.34007
Bai, Zhanbing; Chen, YangQuan; Lian, Hairong; Sun, Sujing
2014
High-order algorithms for Riesz derivative and their applications. I. Zbl 1434.65113
Ding, Hengfei; Li, Changpin; Chen, YangQuan
2014
Robust stability bounds of uncertain fractional-order systems. Zbl 1312.34021
Ma, YingDong; Lu, Jun-Guo; Chen, WeiDong; Chen, YangQuan
2014
Optimal random search, fractional dynamics and fractional calculus. Zbl 1305.26021
Zeng, Caibin; Chen, Yangquan
2014
The existence and uniqueness of a class of fractional differential equations. Zbl 07022469
Bai, Zhanbing; Sun, Sujing; Chen, YangQuan
2014
Control of a novel class of fractional-order chaotic systems via adaptive sliding mode control approach. Zbl 1349.93237
Yin, Chun; Dadras, Sara; Zhong, Shou-Ming; Chen, Yangquan
2013
Matrix approach to discrete fractional calculus. III: Non-equidistant grids, variable step length and distributed orders. Zbl 1339.65094
Podlubny, Igor; Skovranek, Tomas; Vinagre Jara, Blas M.; Petras, Ivo; Verbitsky, Viktor; Chen, YangQuan
2013
Stability and stabilization of fractional-order linear systems with convex polytopic uncertainties. Zbl 1312.93081
Lu, Jun-Guo; Chen, YangQuan
2013
A survey on fractional-order iterative learning control. Zbl 1263.93100
Li, Yan; Chen, YangQuan; Ahn, Hyo-Sung; Tian, Guohui
2013
Numerics for the fractional Langevin equation driven by the fractional Brownian motion. Zbl 1312.34093
Guo, Peng; Zeng, Caibin; Li, Changpin; Chen, YangQuan
2013
Almost sure and moment stability properties of fractional order Black-Scholes model. Zbl 1333.60132
Zeng, Caibin; Chen, YangQuan; Yang, Qigui
2013
Fractional-order total variation image restoration based on primal-dual algorithm. Zbl 1364.94091
Chen, Dali; Chen, Yang Quan; Xue, Dingyu
2013
Fractional calculus and its applications. Zbl 1338.00072
Li, Changpin; Chen, YangQuan; Kurths, Jürgen
2013
Robust asymptotical stability of fractional-order linear systems with structured perturbations. Zbl 1345.93125
Lu, Jun-Guo; Chen, Yangquan; Chen, Weidong
2013
Genetic algorithm-based identification of fractional-order systems. Zbl 1297.93062
Zhou, Shengxi; Cao, Junyi; Chen, Yangquan
2013
Robust decentralized control of perturbed fractional-order linear interconnected systems. Zbl 1345.93140
Li, Jun; Lu, Jun-Guo; Chen, Yangquan
2013
Fractional-order variational optical flow model for motion estimation. Zbl 1342.49028
Chen, Dali; Sheng, Hu; Chen, YangQuan; Xue, Dingyü
2013
Stability analysis of linear time-invariant distributed-order systems. Zbl 1327.93340
Jiao, Zhuang; Chen, YangQuan; Zhong, Yisheng
2013
Fractional order adaptive feed-forward cancellation for periodic disturbances. Zbl 1327.93140
Luo, Ying; Chen, YangQuan; Pi, YouGuo
2013
Time domain analysis of the fractional order weighted distributed parameter Maxwell model. Zbl 1381.74037
Cao, Lili; Li, Yan; Tian, Guohui; Liu, Baodong; Chen, YangQuan
2013
Distributed-order dynamic systems. Stability, simulation, applications and perspectives. Zbl 1401.93005
Jiao, Zhuang; Chen, YangQuan; Podlubny, Igor
2012
Finite difference schemes for variable-order time fractional diffusion equation. Zbl 1258.65079
Sun, Hongguang; Chen, Wen; Li, Changpin; Chen, Yangquan
2012
Fractional processes and fractional-order signal processing. Techniques and applications. Zbl 1245.94004
Sheng, Hu; Chen, YangQuan; Qiu, TianShuang
2012
Stabilizing and robust fractional order PI controller synthesis for first order plus time delay systems. Zbl 1257.93039
Luo, Ying; Chen, Yangquan
2012
Solving nonlinear stochastic differential equations with fractional Brownian motion using reducibility approach. Zbl 1246.60084
Zeng, Caibin; Yang, Qigui; Chen, Yang Quan
2012
The fBm-driven Ornstein-Uhlenbeck process: probability density function and anomalous diffusion. Zbl 1274.60127
Zeng, Caibin; Chen, Yangquan; Yang, Qigui
2012
Robust position control of PMSM using fractional-order sliding mode controller. Zbl 1256.93053
Huang, Jiacai; Li, Hongsheng; Chen, Yangquan; Xu, Qinghong
2012
Stability of fractional-order linear time-invariant systems with multiple noncommensurate orders. Zbl 1268.34018
Jiao, Zhuang; Chen, Yang Quan
2012
Impulse response of a generalized fractional second order filter. Zbl 1269.93121
Jiao, Zhuang; Chen, Yangquan
2012
An interval Kalman filtering with minimal conservatism. Zbl 1245.93128
Ahn, Hyo-Sung; Kim, Young-Soo; Chen, Yangquan
2012
A fractional order universal high gain adaptive stabilizer. Zbl 1258.93095
Li, Yan; Chen, Yangquan
2012
Convergence analysis of fractional-order iterative learning control. Zbl 1274.93196
Li, Yan; Chen, Yangquan; Ahn, Hyo-Sung
2012
Numerical approximation of nonlinear fractional differential equations with subdiffusion and superdiffusion. Zbl 1228.65190
Li, Changpin; Zhao, Zhengang; Chen, Yangquan
2011
Fractional-order iterative learning control for fractional-order linear systems. Zbl 1248.93085
Li, Yan; Chen, YangQuan; Ahn, Hyo-Sung
2011
On Riemann-Liouville and Caputo derivatives. Zbl 1213.26008
Li, Changpin; Qian, Deliang; Chen, Yangquan
2011
Application of numerical inverse Laplace transform algorithms in fractional calculus. Zbl 1210.65201
Sheng, Hu; Li, Yan; Chen, YangQuan
2011
Random-order fractional differential equation models. Zbl 1203.94056
Sun, HongGuang; Chen, YangQuan; Chen, Wen
2011
Asymptotical stability of nonlinear fractional differential system with Caputo derivative. Zbl 1239.34008
Zhang, Fengrong; Li, Changpin; Chen, Yangquan
2011
Convergence speed of a fractional order consensus algorithm over undirected scale-free networks. Zbl 1263.93013
Sun, Wei; Li, Yan; Li, Changpin; Chen, Yangquan
2011
Synthesis of multifractional Gaussian noises based on variable-order fractional operators. Zbl 1213.94049
Sheng, Hu; Sun, Hongguang; Chen, Yangquan; Qiu, Tianshuang
2011
Stability analysis of fractional-order systems with double noncommensurate orders for matrix case. Zbl 1273.93143
Jiao, Zhuang; Chen, Yangquan
2011
FARIMA with stable innovations model of Great Salt Lake elevation time series. Zbl 1203.94053
Sheng, Hu; Chen, YangQuan
2011
Dynamic multi-attribute decision making model based on triangular intuitionistic fuzzy numbers. Zbl 1277.91035
Chen, Y.; Li, B.
2011
On distributed order integrator/differentiator. Zbl 1219.94039
Li, Yan; Sheng, Hu; Chen, Yang Quan
2011
Analytical impulse response of a fractional second order filter and its impulse response invariant discretization. Zbl 1203.94039
Li, Yan; Sheng, Hu; Chen, YangQuan
2011
Heavy-tailed distribution and local long memory in time series of molecular motion on the cell membrane. Zbl 1271.62210
Sheng, Hu; Chen, Yang Quan; Qiu, Tianshuang
2011
A novel noise removal method based on fractional anisotropic diffusion and subpixel approach. Zbl 1216.65032
Zhang, Yingtao; Cheng, H. D.; Chen, Yangquan; Huang, Jianhua
2011
Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability. Zbl 1189.34015
Li, Yan; Chen, Yangquan; Podlubny, Igor
2010
Fractional-order systems and controls. Fundamentals and applications. Zbl 1211.93002
Monje, Concepción Alicia; Chen, YangQuan; Vinagre, Blas Manuel; Xue, Dingyü; Feliu, Vicente
2010
Robust stability and stabilization of fractional-order interval systems with the fractional order $$\alpha$$: the $$0<\alpha<1$$ case. Zbl 1368.93506
Lu, Jun-Guo; Chen, Yang-Quan
2010
An approximate method for numerically solving fractional order optimal control problems of general form. Zbl 1189.49045
Tricaud, Christophe; Chen, Yangquan
2010
Trajectory-keeping in satellite formation flying via robust periodic learning control. Zbl 1204.93082
Ahn, Hyo-Sung; Moore, Kevin L.; Chen, Yangquan
2010
On mean square displacement behaviors of anomalous diffusions with variable and random orders. Zbl 1235.82018
Sun, Hongguang; Chen, Wen; Sheng, Hu; Chen, Yangquan
2010
On the bound of the Lyapunov exponents for the fractional differential systems. Zbl 1311.34016
Li, Changpin; Gong, Ziqing; Qian, Deliang; Chen, YangQuan
2010
Time-optimal control of systems with fractional dynamics. Zbl 1203.49031
Tricaud, Christophe; Chen, Yangquan
2010
Mittag-Leffler stability of fractional order nonlinear dynamic systems. Zbl 1185.93062
Li, Yan; Chen, Yangquan; Podlubny, Igor
2009
Matrix approach to discrete fractional calculus. II: Partial fractional differential equations. Zbl 1160.65308
Podlubny, Igor; Chechkin, Aleksei; Skovranek, Tomas; Chen, Yangquan; Vinagre Jara, Blas M.
2009
Fractional order [proportional derivative] controller for a class of fractional order systems. Zbl 1183.93053
Luo, Ying; Chen, Yangquan
2009
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#### Cited in 245 Serials

 160 Nonlinear Dynamics 112 Fractional Calculus & Applied Analysis 96 Applied Mathematics and Computation 88 Journal of the Franklin Institute 88 Advances in Difference Equations 79 Computers & Mathematics with Applications 79 Mathematical Problems in Engineering 73 Automatica 69 Asian Journal of Control 65 Communications in Nonlinear Science and Numerical Simulation 44 International Journal of Control 44 Chaos, Solitons and Fractals 42 Abstract and Applied Analysis 41 Journal of Computational Physics 39 Journal of Computational and Applied Mathematics 38 Numerical Algorithms 36 Applied Numerical Mathematics 31 Applied Mathematical Modelling 29 Complexity 29 Chaos 28 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 28 International Journal of Systems Science. Principles and Applications of Systems and Integration 26 Journal of Vibration and Control 25 Computational and Applied Mathematics 23 Journal of Scientific Computing 23 Discrete Dynamics in Nature and Society 22 Systems & Control Letters 21 International Journal of Robust and Nonlinear Control 19 Circuits, Systems, and Signal Processing 19 Applied Mathematics Letters 18 International Journal of Applied Mathematics and Computer Science 17 Advances in Mathematical Physics 15 Signal Processing 15 International Journal of Adaptive Control and Signal Processing 15 Journal of Applied Mathematics and Computing 14 Mathematics and Computers in Simulation 13 Nonlinear Analysis. Modelling and Control 12 International Journal of Systems Science 12 Journal of Optimization Theory and Applications 12 Journal of Function Spaces 11 European Journal of Control 11 Journal of Applied Mathematics 10 Engineering Analysis with Boundary Elements 9 Information Sciences 9 Automation and Remote Control 9 International Journal of Computer Mathematics 9 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 8 Mathematical Methods in the Applied Sciences 8 SIAM Journal on Control and Optimization 8 SIAM Journal on Scientific Computing 8 Turkish Journal of Mathematics 8 Journal of Systems Science and Complexity 8 Journal of Nonlinear Science and Applications 8 Journal of Control Science and Engineering 8 International Journal of Applied and Computational Mathematics 7 Journal of Mathematical Analysis and Applications 7 Neural Networks 7 Archives of Control Sciences 7 Journal of Mathematics 7 Mathematics 6 Optimal Control Applications & Methods 6 Entropy 6 Nonlinear Analysis. Hybrid Systems 6 Mathematical Modelling of Natural Phenomena 6 East Asian Journal on Applied Mathematics 5 Applicable Analysis 5 Physica A 5 BIT 5 Calcolo 5 Multidimensional Systems and Signal Processing 5 Fractals 5 Soft Computing 5 Discrete and Continuous Dynamical Systems. Series B 5 Mediterranean Journal of Mathematics 5 Journal of Applied Analysis and Computation 4 Computational Mechanics 4 Numerical Methods for Partial Differential Equations 4 Linear Algebra and its Applications 4 International Journal of Nonlinear Sciences and Numerical Simulation 4 Journal of Control Theory and Applications 4 Boundary Value Problems 4 Computational & Mathematical Methods in Medicine 4 Discrete and Continuous Dynamical Systems. Series S 4 International Journal of Biomathematics 4 Algorithms 4 International Journal of Differential Equations 4 Advances in Applied Mathematics and Mechanics 4 Axioms 4 Communications on Applied Mathematics and Computation 3 International Journal of Modern Physics B 3 International Journal of Theoretical Physics 3 Fuzzy Sets and Systems 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Acta Applicandae Mathematicae 3 Optimization 3 Mathematical and Computer Modelling 3 Stochastic Processes and their Applications 3 Journal of Difference Equations and Applications 3 Mathematical Communications 3 Differential Equations and Dynamical Systems ...and 145 more Serials
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#### Cited in 43 Fields

 1,013 Systems theory; control (93-XX) 945 Ordinary differential equations (34-XX) 542 Real functions (26-XX) 536 Numerical analysis (65-XX) 454 Partial differential equations (35-XX) 187 Computer science (68-XX) 127 Biology and other natural sciences (92-XX) 107 Dynamical systems and ergodic theory (37-XX) 96 Calculus of variations and optimal control; optimization (49-XX) 86 Information and communication theory, circuits (94-XX) 76 Probability theory and stochastic processes (60-XX) 65 Special functions (33-XX) 64 Integral equations (45-XX) 52 Operator theory (47-XX) 50 Operations research, mathematical programming (90-XX) 40 Fluid mechanics (76-XX) 39 Difference and functional equations (39-XX) 37 Mechanics of particles and systems (70-XX) 35 Mechanics of deformable solids (74-XX) 28 Integral transforms, operational calculus (44-XX) 24 Classical thermodynamics, heat transfer (80-XX) 24 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 19 Statistical mechanics, structure of matter (82-XX) 18 Statistics (62-XX) 17 Approximations and expansions (41-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 9 Quantum theory (81-XX) 8 Combinatorics (05-XX) 8 Optics, electromagnetic theory (78-XX) 8 Geophysics (86-XX) 7 Functional analysis (46-XX) 6 Functions of a complex variable (30-XX) 5 General and overarching topics; collections (00-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Measure and integration (28-XX) 3 History and biography (01-XX) 3 Number theory (11-XX) 2 Relativity and gravitational theory (83-XX) 1 Mathematical logic and foundations (03-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 General topology (54-XX)

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