## Liao, Xiao Xin

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 Author ID: liao.xiao-xin Published as: Liao, Xiaoxin; Liao, Xiao Xin; Liao, X. X.; Liao, Xiao-Xin; Liao, Xiao-xin; Liao, Xiaoxing; Liao, Xiaoxi more...less External Links: dblp · GND
 Documents Indexed: 199 Publications since 1981, including 4 Books Co-Authors: 89 Co-Authors with 166 Joint Publications 3,696 Co-Co-Authors
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### Co-Authors

 33 single-authored 27 Shen, Yi 17 Yu, Pei 17 Zeng, Zhigang 15 Liu, Xinzhi 14 Mao, Xuerong 12 Jiang, Minghui 9 Fu, Yuli 9 Liu, Bin 9 Xu, Bingji 8 He, Hanlin 8 Wang, Zhongsheng 8 Zhang, Chengjian 7 Chen, Guanrong 5 Fu, Chaojin 4 Chen, Boshan 4 Jian, Jigui 4 Liao, Wudai 4 Wang, Jun 4 Wang, Xiaojun 4 Xie, Shengli 4 Zhou, Guopeng 3 Li, Jia 3 Luo, Haigeng 3 Luo, Qi 3 Wu, Weihua 3 Xiao, Huimin 3 Zhang, Yumin 3 Zhao, Xinquan 2 Chen, Jida 2 Cheng, Shijie 2 Gao, Jian 2 Guo, Yunxia 2 Hu, Junhao 2 Huang, Jinhua 2 Liu, Meiqin 2 Liu, Yongqing 2 Ma, Shiwang 2 Qian, Jiling 2 Shu, Weihua 2 Wang, Shaoming 2 Yang, Shuzi 2 Yue, Chaoyuan 2 Zhang, Zhigang 2 Zhou, Shuzi 1 Blythe, Steve P. 1 Ceng, Zhigang 1 Chang, Li 1 Chen, Zhen 1 Cheng, Wei 1 Deng, Zhongqi 1 Duan, Changkui 1 Hu, Shigeng 1 Hu, Wei Xiang 1 Hu, Yueming 1 Jiang, Feng 1 Kong, Qingkai 1 Li, David X. 1 Li, Guokuan 1 Liao, Yang 1 Liu, Di 1 Liu, Shaoping 1 Mei, Zhengyang 1 Ruan, Shigui 1 Sheng, Yi 1 Tian, Fengxia 1 Wan, Xinmin 1 Wang, Dongyun 1 Wang, Hua O. 1 Wang, Hua’o 1 Wang, Liqiu 1 Wang, Pan 1 Wang, Qun 1 Wang, Zengfu 1 Wu, Jianhong 1 Xu, Bugong 1 Xu, Xiaodong 1 Yang, Qigui 1 Yang, Xiaosong 1 Yao, Hongshan 1 Yao, Nan 1 Yie, Mucai 1 Zhang, Gang 1 Zhang, Hangfu 1 Zhang, Xiangming 1 Zhang, Yimin 1 Zhao, Yong 1 Zhen, Fangchao 1 Zhou, Lun 1 Zong, Xiaojun
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### Serials

 17 Control Theory & Applications 15 Journal of Central China Normal University. Natural Sciences 11 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 8 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 7 Mathematica Applicata 6 Journal of Mathematical Analysis and Applications 6 Applied Mathematics and Computation 6 Acta Automatica Sinica 6 Science in China. Series A 4 Acta Mathematicae Applicatae Sinica 4 Chinese Science Bulletin 4 Acta Mathematica Scientia. Series A. (Chinese Edition) 4 Science in China. Series F 3 Computers & Mathematics with Applications 3 Chaos, Solitons and Fractals 3 Applied Mathematics and Mechanics. (English Edition) 3 Journal of Systems Science and Mathematical Sciences 3 Acta Mathematica Scientia 3 Dynamics of Continuous, Discrete and Impulsive Systems 3 Communications in Nonlinear Science and Numerical Simulation 3 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 2 International Journal of Control 2 Physics Letters. A 2 Acta Mathematica Sinica 2 Mathematica Numerica Sinica 2 Journal of Mathematics. Wuhan University 2 Chinese Annals of Mathematics. Series A 2 IEEE Transactions on Circuits and Systems. I: Fundamental Theory and Applications 2 Dynamic Systems and Applications 2 Kexue Tongbao 2 Journal of Huazhong University of Science and Technology 2 Mathematical Problems in Engineering 2 Acta Mathematica Scientia. Series A. (Chinese Edition) 2 Journal of Systems Science and Complexity 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Journal of Control Theory and Applications 2 Nonlinear Analysis. Theory, Methods & Applications 1 International Journal of Systems Science 1 Journal of the Franklin Institute 1 IEEE Transactions on Automatic Control 1 Journal of Differential Equations 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Mathematics 1 Systems & Control Letters 1 Journal of Mathematical Research & Exposition 1 Journal of Hunan University 1 Mathematics in Practice and Theory 1 Stochastic Analysis and Applications 1 Advances in Mathematics 1 Journal of Computational Mathematics 1 Applied Numerical Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Annals of Differential Equations 1 Journal of Physics A: Mathematical and General 1 Scientia Sinica. Series A 1 International Journal of Robust and Nonlinear Control 1 Applied Mathematics 1 Neural, Parallel & Scientific Computations 1 Electronic Journal of Probability 1 Abstract and Applied Analysis 1 Acta Analysis Functionalis Applicata. AAFA 1 Nonlinear Analysis. Real World Applications 1 Journal of Systems Engineering 1 Systems Engineering and Electronics 1 Mathematics and Its Applications. Chinese Series 1 Journal of Huazhong Normal University. Natural Sciences 1 Monograph Series on Nonlinear Science and Complexity 1 Mathematical Methods, Physical Methods and Simulation Science and Technology 1 Chinese Journal of Engineering Mathematics 1 Science China. Information Sciences 1 IEEE Transactions on Circuits and Systems I: Regular Papers 1 Mathematical Modelling: Theory and Applications
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### Fields

 107 Ordinary differential equations (34-XX) 99 Systems theory; control (93-XX) 39 Biology and other natural sciences (92-XX) 28 Dynamical systems and ergodic theory (37-XX) 20 Computer science (68-XX) 14 Probability theory and stochastic processes (60-XX) 13 Numerical analysis (65-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 Difference and functional equations (39-XX) 5 Partial differential equations (35-XX) 4 Statistical mechanics, structure of matter (82-XX) 2 Integral equations (45-XX) 2 Operator theory (47-XX) 1 Field theory and polynomials (12-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

115 Publications have been cited 1,664 times in 1,359 Documents Cited by Year
Stability of large-scale neutral type stochastic differential equations. Zbl 0874.60050
Liao, X. X.; Mao, X.
1997
Almost sure exponential stability of neutral stochastic differential difference equations. Zbl 0884.60052
Liao, X. X.; Mao, X.
1997
Stability of stochastic delay neural networks. Zbl 0991.93120
Blythe, Steve; Mao, Xuerong; Liao, Xiaoxin
2001
Exponential stability and instability of stochastic neural networks. Zbl 0848.60058
Liao, X. X.; Mao, X.
1996
Chaos synchronization of general Lur’e systems via time-delay feedback control. Zbl 1129.93509
Liao, Xiaoxin; Chen, Guanrong
2003
Global asymptotic stability of high-order Hopfield type neural networks with time delays. Zbl 1045.37056
Xu, Bingji; Liu, Xinzhi; Liao, Xiaoxin
2003
Exponential stability of stochastic delay interval systems. Zbl 0949.60068
Liao, X. X.; Mao, X.
2000
Algebraic criteria for global exponential stability of cellular neural networks with multiple time delays. Zbl 1368.93504
Liao, Xiao-xin; Wang, Jun
2003
Stability in Gilpin-Ayala competition models with diffusion. Zbl 0872.35054
Liao, Xiaoxin; Li, Jia
1997
Global exponential stability of a general class of recurrent neural networks with time-varying delays. Zbl 1368.34089
Zeng, Zhigang; Wang, Jun; Liao, Xiaoxin
2003
Stability of stochastic neural networks. Zbl 1060.92502
Liao, X. X.; Mao, X.
1996
Robust stability of uncertain impulsive dynamical systems. Zbl 1051.93077
Liu, Bin; Liu, Xinzhi; Liao, Xiaoxin
2004
Global exponential stability in Lagrange sense for recurrent neural networks with time delays. Zbl 1154.34384
Liao, Xiaoxin; Luo, Qi; Zeng, Zhigang; Guo, Yunxia
2008
Globally attractive and positive invariant set of the Lorenz system. Zbl 1141.37335
Yu, Pei; Liao, Xiaoxin
2006
Globally exponentially attractive sets of the family of Lorenz systems. Zbl 1148.37025
Liao, Xiaoxin; Fu, Yuli; Xie, Shengli; Yu, Pei
2008
Normal forms and bifurcations for the differential-algebraic systems. Zbl 0960.34004
Chen, Boshan; Liao, Xiaoxin; Liu, Yongqing
2000
Stability and robustness of quasi-linear impulsive hybrid systems. Zbl 1047.93041
Liu, Bin; Liu, Xinzhi; Liao, Xiaoxin
2003
Boundedness and global exponential stability for generalized Cohen–Grossberg neural networks with variable delay. Zbl 1090.92004
Jiang, Minghui; Shen, Yi; Liao, Xiaoxin
2006
Global exponential stability of high order Hopfield type neural networks. Zbl 1099.34051
Xu, Bingji; Liu, Xinzhi; Liao, Xiaoxin
2006
Stability analysis of delayed cellular neural networks described using cloning templates. Zbl 1374.34293
Zeng, Zhigang; Wang, Jun; Liao, Xiaoxin
2004
New estimations for globally attractive and positive invariant set of the family of the Lorenz systems. Zbl 1116.37026
Yu, Pei; Liao, Xiaoxin
2006
A constructive proof on the existence of globally exponentially attractive set and positive invariant set of general Lorenz family. Zbl 1221.37047
Yu, P.; Liao, X. X.; Xie, S. L.; Fu, Y. L.
2009
Stability of Hopfield-type neural networks. II. Zbl 0886.68115
Liao, Xiaoxin; Liao, Yang
1997
Study on the global property of the smooth Chua’s system. Zbl 1185.37056
Liao, Xiaoxin; Yu, Pei; Xie, Shengli; Fu, Yuli
2006
Existence and uniqueness and stability of solutions for stochastic impulsive systems. Zbl 1124.93054
Liu, Bin; Liu, Xinzhi; Liao, Xiaoxin
2007
On the new results of global attractive set and positive invariant set of the Lorenz chaotic system and the applications to chaos control and synchronization. Zbl 1187.37047
Liao, Xiaoxin; Fu, Yuli; Xie, Shengli
2005
Stability, bifurcation and a new chaos in the logistic differential equation with delay. Zbl 1195.34117
Jiang, Minghui; Shen, Yi; Jian, Jigui; Liao, Xiaoxin
2006
A note on mathematical aspects of drive-response type synchronization. Zbl 0955.37020
Yang, Xiao-Song; Duan, C. K.; Liao, X. X.
1999
Stability of general neural networks with reaction-diffusion. Zbl 1238.93071
Liao, Xiaoxin; Yang, Shuzi; Cheng, Shijie; Fu, Yuli
2001
Absolute stability of nonlinear control systems. 2nd ed. Zbl 1151.93002
Liao, Xiaoxin; Yu, Pei
2008
On feedback-controlled synchronization of chaotic systems. Zbl 1071.93020
Liao, Xiaoxin; Chen, Guanrong
2003
Chaos control for the family of Rössler systems using feedback controllers. Zbl 1147.93389
Liao, Xiaoxin; Yu, Pei
2006
D-convergence and GDN-stability of Runge-Kutta methods for a class of delay systems. Zbl 0976.65072
Zhang, C. J.; Zhou, S. Z.; Liao, X. X.
2001
Absolute stability of nonlinear control systems. Zbl 0817.93002
Liao, Xiao Xin
1993
Stability of dynamical systems. Zbl 1134.34001
Liao, Xiaoxin; Wang, Liqiu; Yu, Pei
2007
On global exponential synchronization of Chua circuits. Zbl 1092.93590
Liao, Xiaoxin; Chen, Guanrong; Xu, Bingji; Shen, Yi
2005
On the study of globally exponentially attractive set of a general chaotic system. Zbl 1221.37072
Yu, P.; Liao, X. X.
2008
Global analysis on $$n$$-scroll chaotic attractors of modified Chua’s circuit. Zbl 1170.34322
Xu, Fei; Yu, Pei; Liao, Xiaoxin
2009
Traveling wave solutions for planar lattice differential systems with applications to neural networks. Zbl 1221.37162
Ma, Shiwang; Liao, Xiaoxin; Wu, Jianhong
2002
Stability of Hopfield-type neural networks. I. Zbl 0837.68098
Liao, Xiaoxin
1995
Study of globally exponential synchronization for the family of Rössler systems. Zbl 1192.37042
Liao, Xiaoxin; Yu, Pei
2006
On the global exponential stability for functional differential equations. Zbl 1070.35113
Jiang, Minghui; Shen, Yi; Liao, Xiaoxin
2005
Stochastic Hopfield neural networks. Zbl 1042.82036
Hu, Shigeng; Liao, Xiaoxin; Mao, Xuerong
2003
Analysis on the globally exponent synchronization of Chua’s circuit using absolute stability theory. Zbl 1094.37502
Liao, Xiaoxin; Yu, Pei
2005
Global stability of periodic solution for bidirectional associative memory neural networks with varying-time delay. Zbl 1113.34051
Jiang, Minghui; Shen, Yi; Liao, Xiaoxin
2006
Stability of BDF methods for nonlinear Volterra integral equations with delay. Zbl 1007.65112
Zhang, C. J.; Liao, X. X.
2002
Necessary and sufficient conditions for stability of a class of interval matrices. Zbl 0611.15017
Liao, Xiaoxin
1987
Synchronization and stabilization of multi-scroll integer and fractional order chaotic attractors generated using trigonometric functions. Zbl 1275.34070
Xu, Fei; Yu, Pei; Liao, Xiaoxin
2013
A new comparison method for stability theory of differential systems with time-varying delays. Zbl 1158.34341
Zeng, Zhigang; Yu, Pei; Liao, Xiaoxin
2008
Partial dissipative property for a class of nonlinear systems with separated variables. Zbl 0777.34037
Liao, Xiaoxin; Fu, Yuli; Guo, Yunxia
1993
D-convergence and stability of a class of linear multistep methods for nonlinear DDEs. Zbl 0956.65067
Zhang, Chengjian; Liao, Xiaoxin
2000
Chaos control and synchronization for a special generalized Lorenz canonical system - the SM system. Zbl 1197.37037
Liao, Xiaoxin; Xu, F.; Wang, Pan; Yu, Pei
2009
BIBO stabilization of stochastic delay systems with uncertainty. Zbl 1364.93702
Fu, Yuli; Liao, Xiaoxin
2003
Dissipation, boundedness and persistence of general ecological systems. Zbl 0837.92025
Kong, Qingkai; Liao, Xiaoxin
1995
Constructive proof of Lagrange stability and sufficient – necessary conditions of Lyapunov stability for Yang-Chen chaotic system. Zbl 1411.34078
Liao, Xiaoxin; Zhou, Guopeng; Yang, Qigui; Fu, Yuli; Chen, Guanrong
2017
Robust global exponential stability of uncertain impulsive systems. Zbl 1081.34520
Liu, Bin; Liu, Xinzhi; Liao, Xiaoxin
2005
Theory and application of stability for dynamical systems. Zbl 0966.34001
Liao, Xiao Xin
2000
Stability of interval matrices. Zbl 0611.15016
Liao, Xiaoxin
1987
Razumikhin-type theorems on exponential stability of neutral stochastic functional differential equations. Zbl 1043.60049
Shen, Yi; Liao, Xiaoxin
1999
Absolute stability of Lurie systems with impulsive effects. Zbl 1057.34049
Xu, Bingji; Liu, Xinzhi; Liao, Xiaoxin
2004
On asymptotic behavior of solutions to several classes of discrete dynamical systems. Zbl 1107.93029
Liao, Xiaoxin
2002
Exponential stability of Hopfield-type stochastic delay neural networks. Zbl 0951.93071
Shen, Yi; Liao, Xiaoxin
1999
Stability for differential difference equations. Zbl 0780.34052
Liao, Xiaoxin; Wang, Xiaojun
1993
On the criterion for the absolute stability of the control system. Zbl 0524.93051
Liao, Xiao-xin
1982
Algebraic conditions of stability for Hopfield neural network. Zbl 1186.82060
Liao, Xiaoxin; Mao, Xuerong; Wang, Jun; Zeng, Zhigang
2004
Stability of general ecological systems and neural networks systems. Zbl 0846.34054
Liao, Xiao Xin
1996
Lumped iteration method for stability analysis of large-scale dynamical systems of neutral type. Zbl 0679.34047
Liao, Xiaoxin
1986
Stability of nonlinear continuous neural networks. Zbl 0981.34037
Liao, Xiaoxin
1992
Exponential stability in mean square of neutral stochastic differential difference equations. Zbl 0956.60069
Liao, Xiao Xin; Mao, Xuerong
1999
Necessary and sufficient conditions for absolute stability of Lurie indirect control systems. Zbl 0683.93058
Liao, Xiaoxin
1989
Necessary and sufficient conditions for the absolute stability of discrete Lurie control systems. Zbl 0703.93049
Liao, Xiaoxin
1989
Absolute stability of general Lurie control systems. Zbl 0731.93071
Liao, Xiaoxin
1991
Robust dissipativity for uncertain impulsive dynamical systems. Zbl 1075.93532
Liu, Bin; Liu, Xinzhi; Liao, Xiaoxin
2003
New criterion for absolute stability of general Lur’e control systems. Zbl 0744.93079
Liao, Xiaoxin
1990
Robust H-stability of Hopfield neural networks with impulsive effects and design of impulsive controllers. Zbl 1037.93069
Liu, Bin; Liu, Xinzhi; Liao, Xiaoxin
2003
Partial exponential stability of nonlinear time-varying large-scale systems. Zbl 1059.34032
Jian, Ji-Gui; Liao, Xiao-Xin
2004
Asymptotic stabilities of stochastic functional differential equations. Zbl 1231.60053
Shen, Yi; Jiang, Ming-Hui; Liao, Xiao-Xin
2006
Robust stability of uncertain neutral linear stochastic differential delay system. Zbl 1231.34088
Jiang, Ming-Hui; Shen, Yi; Liao, Xiao-Xin
2007
Parameter identification of chaos system based on unknown parameter observer. Zbl 1220.37029
Wang, Shaoming; Luo, Haigeng; Yue, Chaoyuan; Liao, Xiaoxin
2008
Stability of neural networks with time-varying delays. Zbl 1090.34594
Zeng, Zhigang; Liao, Xiaoxin
2003
Absolute stability of general neutral type Lurie control systems. Zbl 1152.93452
Xu, Bingji; Liao, Xiaoxin
2003
Global exponential stability of delayed impulsive Hopfield type neural networks. Zbl 1082.68744
Xu, Bingji; Wang, Qun; Shen, Yi; Liao, Xiaoxin
2005
Globally stable periodic state of delayed Cohen-Grossberg neural networks. Zbl 1082.68617
Fu, Chaojin; He, Hanlin; Liao, Xiaoxin
2005
LaSalle-type theorems for neutral stochastic functional differential equations. Zbl 1187.93136
Shen, Yi; Jiang, Minghui; Liao, Xiaoxin
2006
Advances in robust stability for interval dynamical systems. Zbl 0757.93066
Liao, Xiaoxin
1992
The necessary and sufficient conditions of partial stability for linear dynamical systems. Zbl 0744.34049
Liao, Xiaoxin; Wu, Weihua
1990
Absolute stability of control system with multi-nonlinear feedback terms. Zbl 0886.93050
Liao, Xiaoxin; Wang, Xiaojun; Shu, Weihua; Wu, Weihua
1996
Stability of neutral stochastic differential equations. Zbl 0892.60069
Liao, Xiaoxi; Mao, Xuerong
1997
Mathematical theory of cellular neural networks. II. Zbl 0836.68094
Liao, Xiaoxin
1995
Permanence and persistence of time varying Lotka-Volterra systems. Zbl 1103.34041
Liu, Shaoping; Liao, Xiaoxin
2006
Global stability for neural networks with unbounded time varying delays. Zbl 1105.34328
Zeng, Zhigang; Liao, Xiaoxin
2005
Sufficient and necessary conditions for absolute stability of time-delayed Lurie control systems. Zbl 1124.93047
Liao, X. X.; Yu, P.
2006
The stability of a class of large scale systems described by partial differential equations. Zbl 0912.93008
Liao, Xiaoxin; Hu, Yueming; Xiao, Huimin
1991
A new solution method of matrix equation $$A^TXA-X=C$$ and its applications. Zbl 0906.15007
Qian, Jiling; Liao, Xiaoxin
1988
Lumped comparison estimation method for analysing stability of large scale dynamical systems. Zbl 0913.93052
Liao, Xiaoxin
1989
Stability of a class of nonlinear continuous neural networks. Zbl 0846.34055
Liao, Xiao Xin
1996
Robust interval stability, persistence, and partial stability of Lotka-Volterra systems with time-delay. Zbl 0857.34067
Liao, Xiao-Xin; Li, Jia
1996
NASCs for the absolute stability of Luré direct control systems. Zbl 0678.93050
Liao, Xiaoxin
1989
Stability of large-scale neutral functional-differential systems. Zbl 0987.34067
Liao, Xiaoxin; Ruan, Shigui
1992
The exponential stability of neural network with purely delays. Zbl 1094.34054
Zeng, Zhigang; Wang, Zhongsheng; Liao, Xiaoxin
2004
Constructive proof of Lagrange stability and sufficient – necessary conditions of Lyapunov stability for Yang-Chen chaotic system. Zbl 1411.34078
Liao, Xiaoxin; Zhou, Guopeng; Yang, Qigui; Fu, Yuli; Chen, Guanrong
2017
Global synchronization of a new Chua’s system. Zbl 1314.34125
Zhou, Guopeng; Liu, Di; Huang, Jinhua; Liao, Xiaoxin
2015
Synchronization and stabilization of multi-scroll integer and fractional order chaotic attractors generated using trigonometric functions. Zbl 1275.34070
Xu, Fei; Yu, Pei; Liao, Xiaoxin
2013
Stability analysis and control of a new smooth Chua’s system. Zbl 1271.93114
Zhou, Guopeng; Huang, Jinhua; Liao, Xiaoxin; Cheng, Shijie
2013
A note on stability of the split-step backward Euler method for linear stochastic delay integro-differential equations. Zbl 1269.93142
Jiang, Feng; Shen, Yi; Liao, Xiaoxin
2012
A constructive proof on the existence of globally exponentially attractive set and positive invariant set of general Lorenz family. Zbl 1221.37047
Yu, P.; Liao, X. X.; Xie, S. L.; Fu, Y. L.
2009
Global analysis on $$n$$-scroll chaotic attractors of modified Chua’s circuit. Zbl 1170.34322
Xu, Fei; Yu, Pei; Liao, Xiaoxin
2009
Chaos control and synchronization for a special generalized Lorenz canonical system - the SM system. Zbl 1197.37037
Liao, Xiaoxin; Xu, F.; Wang, Pan; Yu, Pei
2009
Global exponential stability in Lagrange sense for recurrent neural networks with time delays. Zbl 1154.34384
Liao, Xiaoxin; Luo, Qi; Zeng, Zhigang; Guo, Yunxia
2008
Globally exponentially attractive sets of the family of Lorenz systems. Zbl 1148.37025
Liao, Xiaoxin; Fu, Yuli; Xie, Shengli; Yu, Pei
2008
Absolute stability of nonlinear control systems. 2nd ed. Zbl 1151.93002
Liao, Xiaoxin; Yu, Pei
2008
On the study of globally exponentially attractive set of a general chaotic system. Zbl 1221.37072
Yu, P.; Liao, X. X.
2008
A new comparison method for stability theory of differential systems with time-varying delays. Zbl 1158.34341
Zeng, Zhigang; Yu, Pei; Liao, Xiaoxin
2008
Parameter identification of chaos system based on unknown parameter observer. Zbl 1220.37029
Wang, Shaoming; Luo, Haigeng; Yue, Chaoyuan; Liao, Xiaoxin
2008
Parameter identification of chaos system based on unknown parameter observer. Zbl 1145.93029
Wang, Shaoming; Liao, Xiaoxin; Yue, Chaoyuan; Luo, Haigeng
2008
Existence and uniqueness and stability of solutions for stochastic impulsive systems. Zbl 1124.93054
Liu, Bin; Liu, Xinzhi; Liao, Xiaoxin
2007
Stability of dynamical systems. Zbl 1134.34001
Liao, Xiaoxin; Wang, Liqiu; Yu, Pei
2007
Robust stability of uncertain neutral linear stochastic differential delay system. Zbl 1231.34088
Jiang, Ming-Hui; Shen, Yi; Liao, Xiao-Xin
2007
Robust absolute stability of Lur’e interval control systems. Zbl 1132.93035
Liao, Xiaoxin; Chen, Zhen; Xu, Fei; Yu, Pei
2007
Globally attractive and positive invariant set of the Lorenz system. Zbl 1141.37335
Yu, Pei; Liao, Xiaoxin
2006
Boundedness and global exponential stability for generalized Cohen–Grossberg neural networks with variable delay. Zbl 1090.92004
Jiang, Minghui; Shen, Yi; Liao, Xiaoxin
2006
Global exponential stability of high order Hopfield type neural networks. Zbl 1099.34051
Xu, Bingji; Liu, Xinzhi; Liao, Xiaoxin
2006
New estimations for globally attractive and positive invariant set of the family of the Lorenz systems. Zbl 1116.37026
Yu, Pei; Liao, Xiaoxin
2006
Study on the global property of the smooth Chua’s system. Zbl 1185.37056
Liao, Xiaoxin; Yu, Pei; Xie, Shengli; Fu, Yuli
2006
Stability, bifurcation and a new chaos in the logistic differential equation with delay. Zbl 1195.34117
Jiang, Minghui; Shen, Yi; Jian, Jigui; Liao, Xiaoxin
2006
Chaos control for the family of Rössler systems using feedback controllers. Zbl 1147.93389
Liao, Xiaoxin; Yu, Pei
2006
Study of globally exponential synchronization for the family of Rössler systems. Zbl 1192.37042
Liao, Xiaoxin; Yu, Pei
2006
Global stability of periodic solution for bidirectional associative memory neural networks with varying-time delay. Zbl 1113.34051
Jiang, Minghui; Shen, Yi; Liao, Xiaoxin
2006
Asymptotic stabilities of stochastic functional differential equations. Zbl 1231.60053
Shen, Yi; Jiang, Ming-Hui; Liao, Xiao-Xin
2006
LaSalle-type theorems for neutral stochastic functional differential equations. Zbl 1187.93136
Shen, Yi; Jiang, Minghui; Liao, Xiaoxin
2006
Permanence and persistence of time varying Lotka-Volterra systems. Zbl 1103.34041
Liu, Shaoping; Liao, Xiaoxin
2006
Sufficient and necessary conditions for absolute stability of time-delayed Lurie control systems. Zbl 1124.93047
Liao, X. X.; Yu, P.
2006
On the new results of global attractive set and positive invariant set of the Lorenz chaotic system and the applications to chaos control and synchronization. Zbl 1187.37047
Liao, Xiaoxin; Fu, Yuli; Xie, Shengli
2005
On global exponential synchronization of Chua circuits. Zbl 1092.93590
Liao, Xiaoxin; Chen, Guanrong; Xu, Bingji; Shen, Yi
2005
On the global exponential stability for functional differential equations. Zbl 1070.35113
Jiang, Minghui; Shen, Yi; Liao, Xiaoxin
2005
Analysis on the globally exponent synchronization of Chua’s circuit using absolute stability theory. Zbl 1094.37502
Liao, Xiaoxin; Yu, Pei
2005
Robust global exponential stability of uncertain impulsive systems. Zbl 1081.34520
Liu, Bin; Liu, Xinzhi; Liao, Xiaoxin
2005
Global exponential stability of delayed impulsive Hopfield type neural networks. Zbl 1082.68744
Xu, Bingji; Wang, Qun; Shen, Yi; Liao, Xiaoxin
2005
Globally stable periodic state of delayed Cohen-Grossberg neural networks. Zbl 1082.68617
Fu, Chaojin; He, Hanlin; Liao, Xiaoxin
2005
Global stability for neural networks with unbounded time varying delays. Zbl 1105.34328
Zeng, Zhigang; Liao, Xiaoxin
2005
Stability for neutral stochastic functional differential equations. Zbl 1079.34542
Shen, Yi; Zhang, Yumin; Liao, Xiaoxin
2005
Robust stability of uncertain impulsive dynamical systems. Zbl 1051.93077
Liu, Bin; Liu, Xinzhi; Liao, Xiaoxin
2004
Stability analysis of delayed cellular neural networks described using cloning templates. Zbl 1374.34293
Zeng, Zhigang; Wang, Jun; Liao, Xiaoxin
2004
Absolute stability of Lurie systems with impulsive effects. Zbl 1057.34049
Xu, Bingji; Liu, Xinzhi; Liao, Xiaoxin
2004
Algebraic conditions of stability for Hopfield neural network. Zbl 1186.82060
Liao, Xiaoxin; Mao, Xuerong; Wang, Jun; Zeng, Zhigang
2004
Partial exponential stability of nonlinear time-varying large-scale systems. Zbl 1059.34032
Jian, Ji-Gui; Liao, Xiao-Xin
2004
The exponential stability of neural network with purely delays. Zbl 1094.34054
Zeng, Zhigang; Wang, Zhongsheng; Liao, Xiaoxin
2004
Comparison method and robust stability of large-scale dynamic systems. Zbl 1058.93045
Liu, Xinzhi; Liao, Xiaoxin
2004
Chaos synchronization of general Lur’e systems via time-delay feedback control. Zbl 1129.93509
Liao, Xiaoxin; Chen, Guanrong
2003
Global asymptotic stability of high-order Hopfield type neural networks with time delays. Zbl 1045.37056
Xu, Bingji; Liu, Xinzhi; Liao, Xiaoxin
2003
Algebraic criteria for global exponential stability of cellular neural networks with multiple time delays. Zbl 1368.93504
Liao, Xiao-xin; Wang, Jun
2003
Global exponential stability of a general class of recurrent neural networks with time-varying delays. Zbl 1368.34089
Zeng, Zhigang; Wang, Jun; Liao, Xiaoxin
2003
Stability and robustness of quasi-linear impulsive hybrid systems. Zbl 1047.93041
Liu, Bin; Liu, Xinzhi; Liao, Xiaoxin
2003
On feedback-controlled synchronization of chaotic systems. Zbl 1071.93020
Liao, Xiaoxin; Chen, Guanrong
2003
Stochastic Hopfield neural networks. Zbl 1042.82036
Hu, Shigeng; Liao, Xiaoxin; Mao, Xuerong
2003
BIBO stabilization of stochastic delay systems with uncertainty. Zbl 1364.93702
Fu, Yuli; Liao, Xiaoxin
2003
Robust dissipativity for uncertain impulsive dynamical systems. Zbl 1075.93532
Liu, Bin; Liu, Xinzhi; Liao, Xiaoxin
2003
Robust H-stability of Hopfield neural networks with impulsive effects and design of impulsive controllers. Zbl 1037.93069
Liu, Bin; Liu, Xinzhi; Liao, Xiaoxin
2003
Stability of neural networks with time-varying delays. Zbl 1090.34594
Zeng, Zhigang; Liao, Xiaoxin
2003
Absolute stability of general neutral type Lurie control systems. Zbl 1152.93452
Xu, Bingji; Liao, Xiaoxin
2003
Exponential stability for stochastic interval delayed Hopfield neural networks. Zbl 1079.92007
Zhang, Yumin; Shen, Yi; Liao, Xiaoxin
2003
Traveling wave solutions for planar lattice differential systems with applications to neural networks. Zbl 1221.37162
Ma, Shiwang; Liao, Xiaoxin; Wu, Jianhong
2002
Stability of BDF methods for nonlinear Volterra integral equations with delay. Zbl 1007.65112
Zhang, C. J.; Liao, X. X.
2002
On asymptotic behavior of solutions to several classes of discrete dynamical systems. Zbl 1107.93029
Liao, Xiaoxin
2002
A delay differential inequality. Zbl 1093.34564
Zeng, Zhigang; Fu, Chaojin; Liao, Xiaoxin
2002
Stability analysis of neural networks with infinite time-varying delay. Zbl 1048.34508
Ceng, Zhigang; Fu, Chaojin; Liao, Xiaoxin
2002
Stability of stochastic delay neural networks. Zbl 0991.93120
Blythe, Steve; Mao, Xuerong; Liao, Xiaoxin
2001
Stability of general neural networks with reaction-diffusion. Zbl 1238.93071
Liao, Xiaoxin; Yang, Shuzi; Cheng, Shijie; Fu, Yuli
2001
D-convergence and GDN-stability of Runge-Kutta methods for a class of delay systems. Zbl 0976.65072
Zhang, C. J.; Zhou, S. Z.; Liao, X. X.
2001
Asymptotic behavior of multistep Runge-Kutta methods for systems of delay differential equations. Zbl 0987.65066
Zhang, Chengjian; Liao, Xiaoxin
2001
Contractivity of Runge-Kutta methods for multidelay differential equations. Zbl 0984.65078
Zhang, Chengjian; Liao, Xiaoxin
2001
Exponential stability of stochastic delay interval systems. Zbl 0949.60068
Liao, X. X.; Mao, X.
2000
Normal forms and bifurcations for the differential-algebraic systems. Zbl 0960.34004
Chen, Boshan; Liao, Xiaoxin; Liu, Yongqing
2000
D-convergence and stability of a class of linear multistep methods for nonlinear DDEs. Zbl 0956.65067
Zhang, Chengjian; Liao, Xiaoxin
2000
Theory and application of stability for dynamical systems. Zbl 0966.34001
Liao, Xiao Xin
2000
Discussion of stability in a class of models on recurrent radial basis function neural networks. Zbl 0974.93573
Liu, Meiqin; Chen, Jida; Liao, Xiaoxin
2000
A note on mathematical aspects of drive-response type synchronization. Zbl 0955.37020
Yang, Xiao-Song; Duan, C. K.; Liao, X. X.
1999
Razumikhin-type theorems on exponential stability of neutral stochastic functional differential equations. Zbl 1043.60049
Shen, Yi; Liao, Xiaoxin
1999
Exponential stability of Hopfield-type stochastic delay neural networks. Zbl 0951.93071
Shen, Yi; Liao, Xiaoxin
1999
Exponential stability in mean square of neutral stochastic differential difference equations. Zbl 0956.60069
Liao, Xiao Xin; Mao, Xuerong
1999
Stability of large-scale neutral type stochastic differential equations. Zbl 0874.60050
Liao, X. X.; Mao, X.
1997
Almost sure exponential stability of neutral stochastic differential difference equations. Zbl 0884.60052
Liao, X. X.; Mao, X.
1997
Stability in Gilpin-Ayala competition models with diffusion. Zbl 0872.35054
Liao, Xiaoxin; Li, Jia
1997
Stability of Hopfield-type neural networks. II. Zbl 0886.68115
Liao, Xiaoxin; Liao, Yang
1997
Stability of neutral stochastic differential equations. Zbl 0892.60069
Liao, Xiaoxi; Mao, Xuerong
1997
Exponential stability and instability of stochastic neural networks. Zbl 0848.60058
Liao, X. X.; Mao, X.
1996
Stability of stochastic neural networks. Zbl 1060.92502
Liao, X. X.; Mao, X.
1996
Stability of general ecological systems and neural networks systems. Zbl 0846.34054
Liao, Xiao Xin
1996
Absolute stability of control system with multi-nonlinear feedback terms. Zbl 0886.93050
Liao, Xiaoxin; Wang, Xiaojun; Shu, Weihua; Wu, Weihua
1996
Stability of a class of nonlinear continuous neural networks. Zbl 0846.34055
Liao, Xiao Xin
1996
Robust interval stability, persistence, and partial stability of Lotka-Volterra systems with time-delay. Zbl 0857.34067
Liao, Xiao-Xin; Li, Jia
1996
Stability of Hopfield-type neural networks. I. Zbl 0837.68098
Liao, Xiaoxin
1995
Dissipation, boundedness and persistence of general ecological systems. Zbl 0837.92025
Kong, Qingkai; Liao, Xiaoxin
1995
Mathematical theory of cellular neural networks. II. Zbl 0836.68094
Liao, Xiaoxin
1995
Absolute stability of nonlinear control systems. Zbl 0817.93002
Liao, Xiao Xin
1993
Partial dissipative property for a class of nonlinear systems with separated variables. Zbl 0777.34037
Liao, Xiaoxin; Fu, Yuli; Guo, Yunxia
1993
Stability for differential difference equations. Zbl 0780.34052
Liao, Xiaoxin; Wang, Xiaojun
1993
Stability of nonlinear continuous neural networks. Zbl 0981.34037
Liao, Xiaoxin
1992
Advances in robust stability for interval dynamical systems. Zbl 0757.93066
Liao, Xiaoxin
1992
Stability of large-scale neutral functional-differential systems. Zbl 0987.34067
Liao, Xiaoxin; Ruan, Shigui
1992
...and 15 more Documents
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### Cited by 1,782 Authors

 77 Jiang, Daqing 49 Liu, Qun 45 Cao, Jinde 38 Mao, Xuerong 34 Hayat, Tasawar 34 Liao, Xiao Xin 30 Al-saedi, Ahmed Eid Salem 23 Zhang, Fuchen 19 Liu, Xinzhi 19 Yu, Pei 18 Zeng, Zhigang 17 Wan, Li 17 Wang, Ke 15 Mu, Chunlai 15 Wu, Fuke 15 Zhu, Quanxin 14 Zhou, Qinghua 13 Huang, Lihong 13 Zhong, Shou-Ming 12 Deng, Feiqi 12 Liao, Xiaofeng 12 Liu, Chao 12 Teng, Zhi-dong 12 Wang, Zidong 12 Zhang, Guangyun 11 Huang, Tingwen 11 Liu, Meng 10 Cui, Baotong 10 Li, Chuandong 10 Liu, Bin 10 Shen, Yi 10 Shi, Ningzhong 10 Song, Qiankun 10 Yuan, Chenggui 9 Jian, Jigui 9 Jiang, Yaolin 9 Lam, James 9 Li, Xiaodi 9 Li, Yongkun 9 Liu, Wei 9 Liu, Xiaohui 9 Stamov, Gani Trendafilov 9 Sun, Ji Tao 9 Yang, Qigui 9 Zhou, Baoquan 8 Balasubramaniam, Pagavathigounder 8 Chen, Qingmei 8 Ho, Daniel W. C. 8 Huang, Chengming 8 Huang, Chuangxia 8 Luo, Qi 8 Ren, Yong 8 Xu, Daoyi 7 Caraballo Garrido, Tomás 7 Chen, Guanrong 7 Guo, Zhenyuan 7 He, Yigang 7 Ji, Chunyan 7 Kao, Yonggui 7 Li, Wenxue 7 Li, Xiaoyue 7 Lou, Xuyang 7 Rathinasamy, Anandaraman 7 Stamova, Ivanka Milkova 7 Wang, Jun 7 Wang, Linshan 7 Zhang, Qimin 7 Zhang, Qingling 6 Chen, Boshan 6 Chen, Wei 6 Hu, Shigeng 6 Huang, He 6 Huang, Zaitang 6 Jiang, Haijun 6 Liu, Yongjian 6 Mchiri, Lassaad 6 Milošević, Marija 6 Rodkina, Alexandra 6 Sakthivel, Rathinasamy 6 Samidurai, Rajendran 6 Teo, Kok Lay 6 Wang, Wentao 6 Wang, Xingyuan 6 Wei, Xiaopeng 6 Xu, Jin 6 Xu, Liguang 6 Zhang, Chengjian 6 Zhang, Qiang 5 Abbas, Syed 5 Cao, Zhongwei 5 Han, Bingtao 5 Hou, Zhenting 5 Jiang, Minghui 5 Kadiev, Ramazan Ismailovich 5 Khusainov, Denis Ya. 5 Lahrouz, Aadil 5 Li, Yuanke 5 O’Regan, Donal 5 Park, Juhyun (Jessie) 5 Pham Huu Anh Ngoc ...and 1,682 more Authors
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### Cited in 174 Serials

 130 Applied Mathematics and Computation 99 Chaos, Solitons and Fractals 68 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 59 Physica A 51 Journal of Mathematical Analysis and Applications 50 Journal of the Franklin Institute 48 Advances in Difference Equations 43 Journal of Computational and Applied Mathematics 43 Abstract and Applied Analysis 39 Communications in Nonlinear Science and Numerical Simulation 36 Nonlinear Dynamics 30 Neural Networks 30 Discrete Dynamics in Nature and Society 27 Nonlinear Analysis. Real World Applications 18 Computers & Mathematics with Applications 18 Automatica 18 Applied Mathematics Letters 17 Mathematics and Computers in Simulation 17 Stochastic Analysis and Applications 16 International Journal of Control 16 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 16 Systems & Control Letters 16 Applied Mathematical Modelling 16 Mathematical Problems in Engineering 16 Journal of Applied Mathematics 16 Nonlinear Analysis. Hybrid Systems 15 Complexity 12 Applied Mathematics and Mechanics. (English Edition) 12 Chaos 11 Statistics & Probability Letters 10 Journal of Differential Equations 10 International Journal of Computer Mathematics 10 Discrete and Continuous Dynamical Systems. Series B 9 Physics Letters. A 9 Mathematical and Computer Modelling 9 Stochastics 8 Physica D 8 Applied Numerical Mathematics 8 International Journal of Biomathematics 8 International Journal of Systems Science. Principles and Applications of Systems and Integration 7 Information Sciences 7 Journal of Applied Mathematics and Computing 6 International Journal of Systems Science 6 Circuits, Systems, and Signal Processing 6 International Journal of Nonlinear Sciences and Numerical Simulation 5 Applicable Analysis 5 Mathematical Methods in the Applied Sciences 5 Fuzzy Sets and Systems 5 Neural Computation 5 International Journal of Robust and Nonlinear Control 5 Journal of Inequalities and Applications 5 Journal of Systems Science and Complexity 4 Stochastic Processes and their Applications 4 Journal of Mathematical Sciences (New York) 4 Differential Equations and Dynamical Systems 4 Acta Mathematica Sinica. English Series 4 International Journal of Applied Mathematics and Computer Science 4 Journal of Control Theory and Applications 4 Computational & Mathematical Methods in Medicine 4 Asian Journal of Control 4 East Asian Journal on Applied Mathematics 3 Modern Physics Letters B 3 Journal of Mathematical Physics 3 Ukrainian Mathematical Journal 3 Theoretical Population Biology 3 Acta Mathematicae Applicatae Sinica. English Series 3 Applied Mathematics. Series B (English Edition) 3 Wuhan University Journal of Natural Sciences (WUJNS) 3 Qualitative Theory of Dynamical Systems 3 Dynamical Systems 3 Science in China. Series F 3 International Journal of Differential Equations 3 Journal of Function Spaces 2 Rocky Mountain Journal of Mathematics 2 Journal of Statistical Planning and Inference 2 Mathematica Slovaca 2 Acta Applicandae Mathematicae 2 Journal of Economic Dynamics & Control 2 Science in China. Series A 2 Journal of Computer and Systems Sciences International 2 Journal of the Egyptian Mathematical Society 2 Bulletin des Sciences Mathématiques 2 Journal of Difference Equations and Applications 2 Discrete and Continuous Dynamical Systems 2 Neural Processing Letters 2 Journal of Biological Systems 2 Nonlinear Analysis. Modelling and Control 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Stochastics and Dynamics 2 Asian-European Journal of Mathematics 2 Advances in Mathematical Physics 2 Journal of Probability and Statistics 2 Chinese Journal of Mathematics 2 AIMS Mathematics 1 International Journal of Modern Physics B 1 International Journal of General Systems 1 Journal of Statistical Physics 1 Mathematical Biosciences ...and 74 more Serials
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### Cited in 33 Fields

 689 Ordinary differential equations (34-XX) 542 Biology and other natural sciences (92-XX) 489 Systems theory; control (93-XX) 422 Probability theory and stochastic processes (60-XX) 185 Dynamical systems and ergodic theory (37-XX) 123 Numerical analysis (65-XX) 81 Partial differential equations (35-XX) 53 Computer science (68-XX) 43 Statistical mechanics, structure of matter (82-XX) 28 Difference and functional equations (39-XX) 28 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 26 Operator theory (47-XX) 22 Information and communication theory, circuits (94-XX) 18 Linear and multilinear algebra; matrix theory (15-XX) 16 Integral equations (45-XX) 14 Statistics (62-XX) 13 Mechanics of particles and systems (70-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 11 Operations research, mathematical programming (90-XX) 6 Combinatorics (05-XX) 6 Real functions (26-XX) 3 Mechanics of deformable solids (74-XX) 3 Geophysics (86-XX) 2 Number theory (11-XX) 2 Field theory and polynomials (12-XX) 2 Abstract harmonic analysis (43-XX) 2 General topology (54-XX) 2 Fluid mechanics (76-XX) 2 Quantum theory (81-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX)