Edit Profile (opens in new tab) Dai, Liyi Co-Author Distance Author ID: dai.liyi Published as: Dai, Liyi; Dai, L. Documents Indexed: 53 Publications since 1987, including 1 Book and 4 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 20 Co-Authors with 22 Joint Publications 473 Co-Co-Authors all top 5 Co-Authors 21 single-authored 4 Cassandras, Christos G. 4 Ho, Yu-Chi 3 Krim, Hamid 3 Wang, Chaozhu 2 Chao, Xiuli 2 Daum, Fred E. 2 Panahi, Ashkan 2 Panayiotou, Christos G. 2 Xu, Liang 1 Baron, Dror 1 Bian, Xiao 1 Birge, John R. 1 Brockett, Roger Ware 1 Bronstein, Alex M. 1 Daum, Frederick E. 1 Gong, Weibo 1 Lin, Wei 1 Mahdizadehaghdam, Shahin 1 Shi, Leyuan 1 Tan, Jin 1 Tang, Wen 1 Wang, J. 1 Wieselthier, Jeffrey E. 1 Wu, J. all top 5 Serials 8 IEEE Transactions on Automatic Control 4 Journal of Optimization Theory and Applications 4 Communications in Nonlinear Science and Numerical Simulation 3 International Journal of Systems Science 3 Discrete Event Dynamic Systems 2 International Journal of Control 2 Mathematical and Computer Modelling 2 IEEE Transactions on Image Processing 1 IEEE Transactions on Information Theory 1 International Journal of Non-Linear Mechanics 1 International Journal of Solids and Structures 1 Journal of Sound and Vibration 1 Automatica 1 Journal of Applied Probability 1 Journal of the Operational Research Society 1 Mathematical Systems Theory 1 SIAM Journal on Control and Optimization 1 Systems & Control Letters 1 Circuits, Systems, and Signal Processing 1 Acta Mathematica Hungarica 1 Journal of Systems Science and Mathematical Sciences 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of the Graduate School USTC (University of Science and Technology of China) 1 SIAM Journal on Applied Mathematics 1 Acta Mathematica Scientia 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Journal of Vibration and Control 1 Lecture Notes in Control and Information Sciences 1 SIAM Journal on Imaging Sciences all top 5 Fields 28 Systems theory; control (93-XX) 18 Ordinary differential equations (34-XX) 10 Operations research, mathematical programming (90-XX) 7 Mechanics of particles and systems (70-XX) 5 Probability theory and stochastic processes (60-XX) 4 Mechanics of deformable solids (74-XX) 4 Information and communication theory, circuits (94-XX) 3 Numerical analysis (65-XX) 2 Difference and functional equations (39-XX) 2 Statistics (62-XX) 1 General and overarching topics; collections (00-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 39 Publications have been cited 835 times in 799 Documents Cited by ▼ Year ▼ Singular control systems. Zbl 0669.93034 Dai, Liyi 664 1989 Observers for discrete singular systems. Zbl 0633.93025 Dai, Liyi 31 1988 Convergence properties of ordinal comparison in the simulation of discrete event dynamic systems. Zbl 0871.93053 Dai, L. 28 1996 Convergence properties of two-stage stochastic programming. Zbl 0980.90057 Dai, L.; Chen, C. H.; Birge, J. R. 27 2000 On oscillatory motion of spring-mass systems subjected to piecewise constant forces. Zbl 1078.70506 Dai, L.; Singh, M. C. 23 1994 Filtering and LQG problems for discrete-time stochastic singular systems. Zbl 0695.93105 Dai, Liyi 20 1989 Impulsive modes and causality in singular systems. Zbl 0686.93012 Dai, Liyi 19 1989 Solutions to the output regulation problem of linear singular systems. Zbl 0873.93047 Lin, Wei; Dai, Liyi 18 1996 Non-holonomic kinematics and the role of elliptic functions in constructive controllability. Zbl 0791.70009 Brockett, R. W.; Dai, Liyi 16 1992 Ordinal optimisation and simulation. Zbl 1055.90579 Ho, Y.-C.; Cassandras, C. G.; Chen, C.-H.; Dai, L. 12 2000 Periodic, quasiperiodic and chaotic behavior of a driven Froude pendulum. Zbl 1342.70056 Dai, L.; Singh, M. C. 10 1998 Analytical and numerical approaches to characteristics of linear and nonlinear vibratory systems under piecewise discontinuous disturbances. Zbl 1140.74457 Dai, L.; Fan, L. 8 2004 Ordinal optimization for a class of deterministic and stochastic discrete resource allocation problems. Zbl 0952.93090 Cassandras, Christos G.; Dai, Liyi; Panayiotou, Christos G. 7 1998 Strong decoupling in singular systems. Zbl 0691.93013 Dai, Liyi 7 1989 Structural infinitesimal perturbation analysis (SIPA) for derivative estimation of discrete-event dynamic systems. Zbl 0839.93051 Dai, Liyi; Ho, Yu-Chi 6 1995 An analytical and numerical method for solving linear and nonlinear vibration problems. Zbl 0942.74663 Dai, L.; Singh, M. C. 5 1997 Structurally stable normal compensators for singular systems. Zbl 0631.93066 Dai, Liyi; Wang, Chaozhu 5 1987 Optimizing discrete event dynamic systems via the gradient surface method. Zbl 0762.93081 Ho, Y. C.; Shi, Leyuan; Dai, Liyi; Gong, Wei-Bo 4 1992 Rates of convergence of ordinal comparison for dependent discrete event dynamic systems. Zbl 0893.93016 Dai, L.; Chen, C. H. 3 1997 State feedback and transfer matrix in singular systems. Zbl 0677.93006 Dai, Liyi 3 1989 Deep dictionary learning: a parametric network approach. Zbl 07123015 Mahdizadehaghdam, Shahin; Panahi, Ashkan; Krim, Hamid; Dai, Liyi 2 2019 The difference between regularity and irregularity in singular systems. Zbl 0693.93034 Dai, Liyi 2 1989 Stable and structurally stable regulators for singular systems. Zbl 0638.93054 Dai, Liyi; Wang, Chaozhu 2 1987 Control problem for linear systems with input derivatives control. Zbl 0645.93023 Dai, Liyi 2 1988 Controllability, observability and system equivalence in singular systems. Zbl 0661.93007 Dai, Liyi 2 1987 Perturbation analysis via coupling. Zbl 0976.93091 Dai, Liyi 2 2000 Structural stability for singular systems - a quantitative approach. Zbl 0665.93049 Dai, Liyi 2 1988 A monotonicity result for a single-server loss system. Zbl 0839.60081 Chao, Xiuli; Dai, Liyi 1 1995 Sensitivity analysis of stationary performance measures for Markov chains. Zbl 0857.93105 Dai, Liyi 1 1996 Rate of convergence for derivative estimation of discrete-time Markov chains via finite-difference approximation with common random numbers. Zbl 0874.60064 Dai, Liyi 1 1997 Wiener filters in Gaussian mixture signal estimation with \(\ell_\infty\)-norm error. Zbl 1360.94098 Tan, Jin; Baron, Dror; Dai, Liyi 1 2014 Comparing single-server loss systems in random environment. Zbl 0858.90057 Dai, Liyi; Chao, Xiuli 1 1996 Assessment of the behavior of weakly and highly nonlinear friction-driven oscillatory systems. Zbl 1064.34023 Dai, L.; Xu, L.; Dong, M. 1 2005 Sparsity and nullity: paradigms for analysis dictionary learning. Zbl 1343.68191 Bian, Xiao; Krim, Hamid; Bronstein, Alex; Dai, Liyi 1 2016 Dynamical compensation for discrete singular systems. Zbl 0629.93016 Dai, Liyi; Wang, Chaozhu 1 1987 Performance bounds for nonhomogeneous queues. Zbl 0907.90144 Dai, Liyi 1 1998 On the convergence rate of ordinal optimization for a class of stochastic discrete resource allocation problems. Zbl 1136.90337 Dai, Liyi; Cassandras, Christos G.; Panayiotou, Christos G. 1 2000 Semi-analytical and numerical solutions of multi-degree-of-freedom nonlinear oscillation systems with linear coupling. Zbl 1107.34033 Dai, L.; Xu, L.; Han, Q. 1 2006 Stability and vibrations of an all-terrain vehicle subjected to nonlinear structural deformation and resistance. Zbl 1111.34037 Dai, L.; Wu, J. 1 2007 Deep dictionary learning: a parametric network approach. Zbl 07123015 Mahdizadehaghdam, Shahin; Panahi, Ashkan; Krim, Hamid; Dai, Liyi 2 2019 Sparsity and nullity: paradigms for analysis dictionary learning. Zbl 1343.68191 Bian, Xiao; Krim, Hamid; Bronstein, Alex; Dai, Liyi 1 2016 Wiener filters in Gaussian mixture signal estimation with \(\ell_\infty\)-norm error. Zbl 1360.94098 Tan, Jin; Baron, Dror; Dai, Liyi 1 2014 Stability and vibrations of an all-terrain vehicle subjected to nonlinear structural deformation and resistance. Zbl 1111.34037 Dai, L.; Wu, J. 1 2007 Semi-analytical and numerical solutions of multi-degree-of-freedom nonlinear oscillation systems with linear coupling. Zbl 1107.34033 Dai, L.; Xu, L.; Han, Q. 1 2006 Assessment of the behavior of weakly and highly nonlinear friction-driven oscillatory systems. Zbl 1064.34023 Dai, L.; Xu, L.; Dong, M. 1 2005 Analytical and numerical approaches to characteristics of linear and nonlinear vibratory systems under piecewise discontinuous disturbances. Zbl 1140.74457 Dai, L.; Fan, L. 8 2004 Convergence properties of two-stage stochastic programming. Zbl 0980.90057 Dai, L.; Chen, C. H.; Birge, J. R. 27 2000 Ordinal optimisation and simulation. Zbl 1055.90579 Ho, Y.-C.; Cassandras, C. G.; Chen, C.-H.; Dai, L. 12 2000 Perturbation analysis via coupling. Zbl 0976.93091 Dai, Liyi 2 2000 On the convergence rate of ordinal optimization for a class of stochastic discrete resource allocation problems. Zbl 1136.90337 Dai, Liyi; Cassandras, Christos G.; Panayiotou, Christos G. 1 2000 Periodic, quasiperiodic and chaotic behavior of a driven Froude pendulum. Zbl 1342.70056 Dai, L.; Singh, M. C. 10 1998 Ordinal optimization for a class of deterministic and stochastic discrete resource allocation problems. Zbl 0952.93090 Cassandras, Christos G.; Dai, Liyi; Panayiotou, Christos G. 7 1998 Performance bounds for nonhomogeneous queues. Zbl 0907.90144 Dai, Liyi 1 1998 An analytical and numerical method for solving linear and nonlinear vibration problems. Zbl 0942.74663 Dai, L.; Singh, M. C. 5 1997 Rates of convergence of ordinal comparison for dependent discrete event dynamic systems. Zbl 0893.93016 Dai, L.; Chen, C. H. 3 1997 Rate of convergence for derivative estimation of discrete-time Markov chains via finite-difference approximation with common random numbers. Zbl 0874.60064 Dai, Liyi 1 1997 Convergence properties of ordinal comparison in the simulation of discrete event dynamic systems. Zbl 0871.93053 Dai, L. 28 1996 Solutions to the output regulation problem of linear singular systems. Zbl 0873.93047 Lin, Wei; Dai, Liyi 18 1996 Sensitivity analysis of stationary performance measures for Markov chains. Zbl 0857.93105 Dai, Liyi 1 1996 Comparing single-server loss systems in random environment. Zbl 0858.90057 Dai, Liyi; Chao, Xiuli 1 1996 Structural infinitesimal perturbation analysis (SIPA) for derivative estimation of discrete-event dynamic systems. Zbl 0839.93051 Dai, Liyi; Ho, Yu-Chi 6 1995 A monotonicity result for a single-server loss system. Zbl 0839.60081 Chao, Xiuli; Dai, Liyi 1 1995 On oscillatory motion of spring-mass systems subjected to piecewise constant forces. Zbl 1078.70506 Dai, L.; Singh, M. C. 23 1994 Non-holonomic kinematics and the role of elliptic functions in constructive controllability. Zbl 0791.70009 Brockett, R. W.; Dai, Liyi 16 1992 Optimizing discrete event dynamic systems via the gradient surface method. Zbl 0762.93081 Ho, Y. C.; Shi, Leyuan; Dai, Liyi; Gong, Wei-Bo 4 1992 Singular control systems. Zbl 0669.93034 Dai, Liyi 664 1989 Filtering and LQG problems for discrete-time stochastic singular systems. Zbl 0695.93105 Dai, Liyi 20 1989 Impulsive modes and causality in singular systems. Zbl 0686.93012 Dai, Liyi 19 1989 Strong decoupling in singular systems. Zbl 0691.93013 Dai, Liyi 7 1989 State feedback and transfer matrix in singular systems. Zbl 0677.93006 Dai, Liyi 3 1989 The difference between regularity and irregularity in singular systems. Zbl 0693.93034 Dai, Liyi 2 1989 Observers for discrete singular systems. Zbl 0633.93025 Dai, Liyi 31 1988 Control problem for linear systems with input derivatives control. Zbl 0645.93023 Dai, Liyi 2 1988 Structural stability for singular systems - a quantitative approach. Zbl 0665.93049 Dai, Liyi 2 1988 Structurally stable normal compensators for singular systems. Zbl 0631.93066 Dai, Liyi; Wang, Chaozhu 5 1987 Stable and structurally stable regulators for singular systems. Zbl 0638.93054 Dai, Liyi; Wang, Chaozhu 2 1987 Controllability, observability and system equivalence in singular systems. Zbl 0661.93007 Dai, Liyi 2 1987 Dynamical compensation for discrete singular systems. Zbl 0629.93016 Dai, Liyi; Wang, Chaozhu 1 1987 all cited Publications top 5 cited Publications all top 5 Cited by 1,155 Authors 37 Zhang, Qingling 23 Ma, Shuping 23 Zhuang, Guangming 20 Kaczorek, Tadeusz 14 Xia, Jianwei 13 Ma, Yuechao 13 Mehrmann, Volker 11 Su, Hongye 11 Wang, Guoliang 11 Xu, Shengyuan 10 Darouach, Mohamed 10 Feng, Jun’e 10 Kchaou, Mourad 9 Chu, Jian 9 Wang, Yanqian 9 Yang, Chunyu 8 Dai, Liyi 8 Lin, Jinxing 8 Shu, Yadong 8 Wu, Zhengguang 8 Zhang, Chenghui 7 Benner, Peter 7 Chen, Wenbin 7 Duan, Guangren 7 Feng, Zhiguang 7 Koumboulis, Fotis N. 7 Ma, Qian 7 Shafiee, Masoud 7 Shcheglova, Alla Arkad’evna 7 Shi, Peng 7 Vũ Ngoc Phát 7 Zhang, Weihai 6 Andrianova, Olga G. 6 Boukas, El-Kébir 6 Chaabane, Mohamed 6 Hajarian, Masoud 6 Kao, Yonggui 6 Lu, Junwei 6 Reis, Timo 6 Sun, Liying 6 Terra, Marco Henrique 6 Xi, Jianxiang 6 Zhong, Shou-Ming 5 Cao, Jinde 5 Chen, Guoliang 5 El Hajjaji, Ahmed 5 Fu, Lei 5 Lam, James 5 Liao, Fucheng 5 Liu, Qian 5 Lu, Renquan 5 Mizukami, Koichi 5 Ortega, Fernando 5 Paraskevopoulos, Paraskevas N. 5 Petrenko, Pavel Sergeevich 5 Rodrigues, Mickael 5 Sau, Nguyen Huu 5 Tian, Senping 5 Tomar, Nutan Kumar 5 Tsai, Jason Sheng-Hong 5 Tunç, Cemil 5 Wang, Jimin 5 Wei, Jiang 5 Xu, Hua 5 Zhang, Yingqi 5 Zhu, Yuanguo 4 Bachelier, Olivier 4 Campbell, Stephen LaVern 4 Chadli, Mohammed 4 Chávez-Fuentes, Jorge R. 4 Chen, Bing 4 Fang, Qingxiang 4 Fei, Shumin 4 Feng, Yu 4 Gao, Cunchen 4 Gao, Fang 4 Gu, Panpan 4 Jiang, Wei 4 Kurdyukov, Alexander P. 4 Li, Bo 4 Li, Meiqing 4 Li, Rongchang 4 Lin, Chong 4 Liu, Lili 4 Liu, Xinzhi 4 Pantelous, Athanasios A. 4 Ren, Junchao 4 Sachkov, Yuriĭ Leonidovich 4 Stykel, Tatjana 4 Sun, Wei 4 Sun, Yuchen 4 Theilliol, Didier 4 Voigt, Matthias 4 Wu, Aiguo 4 Xiang, Zhengrong 4 Xue, Anke 4 Yigit, Abdullah 4 Zhang, Liang 4 Zhao, Yong 4 Zhou, Wuneng ...and 1,055 more Authors all top 5 Cited in 151 Serials 87 Journal of the Franklin Institute 47 International Journal of Robust and Nonlinear Control 46 Automatica 40 Applied Mathematics and Computation 38 Circuits, Systems, and Signal Processing 32 International Journal of Systems Science. Principles and Applications of Systems and Integration 27 Systems & Control Letters 25 Asian Journal of Control 22 International Journal of Control 21 Mathematical Problems in Engineering 16 International Journal of Applied Mathematics and Computer Science 15 Journal of Optimization Theory and Applications 15 Optimal Control Applications & Methods 15 Journal of Control Theory and Applications 13 European Journal of Control 12 International Journal of Systems Science 10 Linear Algebra and its Applications 10 Advances in Difference Equations 10 Nonlinear Analysis. Hybrid Systems 9 Information Sciences 8 Automation and Remote Control 7 Fuzzy Sets and Systems 7 Kybernetika 7 MCSS. Mathematics of Control, Signals, and Systems 7 Nonlinear Dynamics 6 International Journal of Adaptive Control and Signal Processing 6 Computational and Applied Mathematics 6 Discrete Dynamics in Nature and Society 6 Journal of Dynamical and Control Systems 5 Ukrainian Mathematical Journal 5 SIAM Journal on Control and Optimization 5 SIAM Journal on Matrix Analysis and Applications 5 Applied Mathematical Modelling 5 Archives of Control Sciences 5 Journal of Computer and Systems Sciences International 5 Communications in Nonlinear Science and Numerical Simulation 5 Journal of Systems Science and Complexity 5 Journal of Applied Mathematics 4 Multidimensional Systems and Signal Processing 4 Discrete Event Dynamic Systems 4 Differential Equations 4 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 4 Journal of Industrial and Management Optimization 3 Chaos, Solitons and Fractals 3 Journal of Computational and Applied Mathematics 3 Mathematical and Computer Modelling 3 Signal Processing 3 Annals of Operations Research 3 European Journal of Operational Research 3 Abstract and Applied Analysis 3 Numerical Algebra, Control and Optimization 2 Mathematical Methods in the Applied Sciences 2 Mathematical Notes 2 Physica A 2 Results in Mathematics 2 Siberian Mathematical Journal 2 Acta Applicandae Mathematicae 2 Optimization 2 Journal of Global Optimization 2 Complexity 2 Differential Equations and Dynamical Systems 2 Mathematical and Computer Modelling of Dynamical Systems 2 The ANZIAM Journal 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Journal of Applied Mathematics and Computing 2 Journal of Zhejiang University. Science A 2 Journal of Control Science and Engineering 2 Journal of Mathematical Extension 2 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 2 Journal of Applied Analysis and Computation 2 Journal of Computational Dynamics 2 Journal of Siberian Federal University. Mathematics & Physics 1 Archive for Rational Mechanics and Analysis 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Prikladnaya Matematika i Mekhanika 1 Acta Mathematica Vietnamica 1 Applied Mathematics and Optimization 1 International Journal of Circuit Theory and Applications 1 Inventiones Mathematicae 1 Kybernetes 1 Mathematical Systems Theory 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 Acta Mathematicae Applicatae Sinica 1 Applied Mathematics and Mechanics. (English Edition) 1 Applied Numerical Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Computers & Operations Research 1 COMPEL 1 Applied Mathematics Letters 1 Neural Networks 1 Dynamics and Control 1 International Journal of Computer Mathematics 1 Chinese Science Bulletin 1 Journal of Mathematical Imaging and Vision 1 SIAM Journal on Scientific Computing 1 Applied and Computational Harmonic Analysis 1 Numerical Linear Algebra with Applications ...and 51 more Serials all top 5 Cited in 31 Fields 666 Systems theory; control (93-XX) 121 Ordinary differential equations (34-XX) 62 Probability theory and stochastic processes (60-XX) 56 Calculus of variations and optimal control; optimization (49-XX) 47 Linear and multilinear algebra; matrix theory (15-XX) 36 Numerical analysis (65-XX) 36 Operations research, mathematical programming (90-XX) 17 Biology and other natural sciences (92-XX) 16 Information and communication theory, circuits (94-XX) 15 Real functions (26-XX) 15 Dynamical systems and ergodic theory (37-XX) 13 Computer science (68-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Difference and functional equations (39-XX) 11 Mechanics of particles and systems (70-XX) 9 Statistics (62-XX) 6 Differential geometry (53-XX) 5 Partial differential equations (35-XX) 4 Operator theory (47-XX) 4 Mechanics of deformable solids (74-XX) 3 Combinatorics (05-XX) 3 Fluid mechanics (76-XX) 2 Topological groups, Lie groups (22-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Commutative algebra (13-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) Citations by Year