## Xu, Daoyi

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 Author ID: xu.daoyi Published as: Xu, Daoyi; Xu, Dao Yi; Xu, Dao-Yi; Xu, DaoYi more...less External Links: ResearchGate
 Documents Indexed: 139 Publications since 1985 1 Contribution as Editor Reviewing Activity: 4 Reviews Co-Authors: 41 Co-Authors with 109 Joint Publications 1,422 Co-Co-Authors
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### Co-Authors

 31 single-authored 18 Yang, Zhichun 13 Li, Shuyong 9 Long, Shujun 8 Wang, Xiaohu 8 Yang, Zhiguo 8 Zhang, Zifang 8 Zhu, Wei 7 Li, Bing 7 Niu, Jianren 7 Teng, Lingying 6 Li, Dingshi 6 Wang, Linshan 5 Guo, Qingyi 5 Huang, Yumei 5 Pu, Zhilin 5 Xiang, Li 5 Xu, Liguang 5 Zhao, Hongyong 3 Deng, Jin 3 Zeng, Yongfu 2 Deng, Jing 2 He, Danhua 2 Lu, Kening 2 Ma, Zhixia 2 Pei, Jinan 2 Pu, Zhiling 2 Zhou, Weisong 2 Zhou, Xiaoping 1 Bates, Peter W. 1 Den, Jin 1 Lin, Jun 1 Liu, Xinzhi 1 Qin, Fajin 1 Xie, Zunshi 1 Xu, Anshi 1 Xu, Zhaofeng 1 Yan, Xiang-Wei 1 Yang, Chunde 1 Zhong, Shou-Ming 1 Zhu, Hong 1 Zhu, Lutao
all top 5

### Serials

 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Journal of Sichuan University. Natural Science Edition 6 Computers & Mathematics with Applications 6 Journal of Mathematical Analysis and Applications 5 International Journal of Systems Science 5 Annals of Differential Equations 5 Applied Mathematics Letters 4 IEEE Transactions on Automatic Control 3 Physics Letters. A 3 Chaos, Solitons and Fractals 3 Applied Mathematics and Computation 3 Applied Mathematics and Mechanics. (English Edition) 3 Chinese Annals of Mathematics. Series A 3 Journal of Sichuan Normal University. Natural Science 3 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 3 Chinese Journal of Engineering Mathematics 2 International Journal of Control 2 Acta Mathematica Sinica 2 Mathematics and Computers in Simulation 2 Journal of Mathematics. Wuhan University 2 Journal of Mathematical Research & Exposition 2 Journal of Systems Science and Mathematical Sciences 2 Mathematica Applicata 2 Applied Mathematics. Series A (Chinese Edition) 2 Discrete and Continuous Dynamical Systems 2 Electronic Journal of Qualitative Theory of Differential Equations 2 Control Theory & Applications 1 Indian Journal of Pure & Applied Mathematics 1 Journal of the Franklin Institute 1 Rocky Mountain Journal of Mathematics 1 Automatica 1 Fuzzy Sets and Systems 1 Journal of Differential Equations 1 Journal of the Korean Mathematical Society 1 Theoretical Computer Science 1 Tôhoku Mathematical Journal. Second Series 1 Acta Mathematicae Applicatae Sinica 1 Statistics & Probability Letters 1 Acta Automatica Sinica 1 Journal of Engineering Mathematics (Xi’an) 1 Acta Mathematicae Applicatae Sinica. English Series 1 IMA Journal of Mathematical Control and Information 1 Neural Networks 1 Journal of Applied Mathematics and Stochastic Analysis 1 Kexue Tongbao 1 Chinese Science Bulletin 1 Applied Mathematics. Series B (English Edition) 1 Electronic Journal of Differential Equations (EJDE) 1 Dynamics of Continuous, Discrete and Impulsive Systems 1 Journal of Vibration and Control 1 Communications in Applied Analysis 1 Differential Equations and Dynamical Systems 1 Nonlinear Dynamics 1 Journal of Inequalities and Applications 1 Chinese Quarterly Journal of Mathematics 1 Communications in Nonlinear Science and Numerical Simulation 1 Nonlinear Analysis. Real World Applications 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Science in China. Series F 1 Nonlinear Analysis. Hybrid Systems 1 Science China. Mathematics 1 Journal of Nanjing University of Information Science and Technology. Natural Science Edition 1 Journal of Applied Analysis and Computation 1 Nonlinear Analysis. Theory, Methods & Applications
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### Fields

 85 Ordinary differential equations (34-XX) 36 Biology and other natural sciences (92-XX) 29 Systems theory; control (93-XX) 16 Partial differential equations (35-XX) 16 Probability theory and stochastic processes (60-XX) 10 Difference and functional equations (39-XX) 10 Integral equations (45-XX) 8 Computer science (68-XX) 7 Dynamical systems and ergodic theory (37-XX) 5 Real functions (26-XX) 3 Functions of a complex variable (30-XX) 3 Numerical analysis (65-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistical mechanics, structure of matter (82-XX)

### Citations contained in zbMATH Open

89 Publications have been cited 1,384 times in 857 Documents Cited by Year
Impulsive delay differential inequality and stability of neural networks. Zbl 1091.34046
Xu, Daoyi; Yang, Zhichun
2005
Stability analysis and design of impulsive control systems with time delay. Zbl 1366.93276
Yang, Zhichun; Xu, Daoyi
2007
Impulsive effects on stability of Cohen-Grossberg neural networks with variable delays. Zbl 1103.34067
Yang, Zhichun; Xu, Daoyi
2006
Random attractors for second-order stochastic lattice dynamical systems. Zbl 1181.60103
Wang, Xiaohu; Li, Shuyong; Xu, Daoyi
2010
Exponential $$p$$-stability of impulsive stochastic differential equations with delays. Zbl 1236.60061
Yang, Zhiguo; Xu, Daoyi; Xiang, Li
2006
Global exponential stability of Hopfield reaction-diffusion neural networks with time-varying delays. Zbl 1186.82062
Wang, Linshan; Xu, Daoyi
2003
Existence theorems for periodic Markov process and stochastic functional differential equations. Zbl 1171.34056
Xu, Daoyi; Huang, Yumei; Yang, Zhiguo
2009
Asymptotic behavior of a class of reaction–diffusion equations with delays. Zbl 1031.35065
Wang, Linshan; Xu, Daoyi
2003
Exponential $$p$$-stability of impulsive stochastic Cohen-Grossberg neural networks with mixed delays. Zbl 1165.34043
Wang, Xiaohu; Guo, Qingyi; Xu, Daoyi
2009
Global dynamics of Hopfield neural networks involving variable delays. Zbl 0990.34036
Xu, Daoyi; Zhao, Hongyong; Zhu, Hong
2001
Global exponential stability of impulsive delay difference equation. Zbl 1148.39304
Zhu, Wei; Xu, Daoyi; Yang, Zhichun
2006
Mean square exponential stability of impulsive control stochastic systems with time-varying delay. Zbl 1227.34082
Xu, Liguang; Xu, Daoyi
2009
Simple criteria for stability of interval matrices. Zbl 0555.93053
Xu, Daoyi
1985
Global attracting set and stability of stochastic neutral partial functional differential equations with impulses. Zbl 1250.93124
Long, Shujun; Teng, Lingying; Xu, Daoyi
2012
Existence-uniqueness and continuation theorems for stochastic functional differential equations. Zbl 1161.34055
Xu, Daoyi; Yang, Zhiguo; Huang, Yumei
2008
Existence and exponential stability of periodic solution for impulsive delay differential equations and applications. Zbl 1092.34034
Yang, Zhichun; Xu, Daoyi
2006
Periodic solutions of stochastic delay differential equations and applications to logistic equation and neural networks. Zbl 1316.34071
Li, Dingshi; Xu, Daoyi
2013
Global exponential stability of impulsive integro-differential equation. Zbl 1093.45004
Xu, Daoyi; Zhu, Wei; Long, Shujun
2006
Moment estimate and existence for solutions of stochastic functional differential equations. Zbl 1304.34134
Xu, Daoyi; Li, Bing; Long, Shujun; Teng, Lingying
2014
Attracting and invariant sets for a class of impulsive functional differential equations. Zbl 1154.34393
Xu, Daoyi; Yang, Zhichun
2007
Exponential stability of nonlinear impulsive neutral differential equations with delays. Zbl 1122.34063
Xu, Daoyi; Yang, Zhiguo; Yang, Zhichun
2007
Global impulsive exponential synchronization of time-delayed coupled chaotic systems. Zbl 1141.37019
Zhu, Wei; Xu, Daoyi; Huang, Yumei
2008
Global attraction and stability for Cohen–Grossberg neural networks with delays. Zbl 1178.68437
Lu, Kening; Xu, Daoyi; Yang, Zhichun
2006
Further results on existence-uniqueness for stochastic functional differential equations. Zbl 1280.34081
Xu, DaoYi; Wang, XiaoHu; Yang, ZhiGuo
2013
Existence and global $$p$$-exponential stability of periodic solution for impulsive stochastic neural networks with delays. Zbl 1244.93169
Li, Dingshi; Wang, Xiaohu; Xu, Daoyi
2012
Attracting and quasi-invariant sets of stochastic neutral partial functional differential equations. Zbl 1289.35341
Li, Dingshi; Xu, Daoyi
2013
Integro-differential equations and delay integral inequalities. Zbl 0760.34059
Xu, Daoyi
1992
Invariant and attracting sets of Hopfield neural networks with delay. Zbl 1003.92002
Xu, Dao-Yi; Zhao, Hong-Yong
2001
Global exponential stability of impulsive fuzzy cellular neural networks with mixed delays and reaction-diffusion terms. Zbl 1198.34094
Wang, Xiaohu; Xu, Daoyi
2009
$$p$$-attracting and $$p$$-invariant sets for a class of impulsive stochastic functional differential equations. Zbl 1165.60329
Xu, Liguang; Xu, Daoyi
2009
Attracting and invariant sets of fuzzy Cohen-Grossberg neural networks with time-varying delays. Zbl 1227.92001
He, Danhua; Xu, Daoyi
2008
Mean square exponential stability of impulsive stochastic difference equations. Zbl 1255.39017
Yang, Zhiguo; Xu, Daoyi
2007
Stability analysis for impulsive stochastic delay differential equations with Markovian switching. Zbl 1392.93050
Li, Bing; Li, Dingshi; Xu, Daoyi
2013
Robust stability of uncertain impulsive control systems with time-varying delay. Zbl 1133.93362
Yang, Zhichun; Xu, Daoyi
2007
Uniform asymptotic stability of abstract functional differential equations. Zbl 0891.34073
Liu, Xinzhi; Xu, Dao Yi
1997
Global asymptotic stability of bidirectional associative memory neural networks with S-type distributed delays. Zbl 1047.68115
Wang, Linshan; Xu, Daoyi
2002
Invariant set and stable region of a class of partial differential equations with time delays. Zbl 0981.35094
Xu, Daoyi; Li, Shuyong; Zhou, Xiaoping; Pu, Zhilin
2001
Invariant set and attractivity of nonlinear differential equations with delays. Zbl 1023.34066
Xu, Daoyi; Zhao, Hongyong
2002
Mean square exponential stability of impulsive stochastic reaction-diffusion Cohen-Grossberg neural networks with delays. Zbl 1246.35214
Li, Dingshi; He, Danhua; Xu, Daoyi
2012
Exponential $$p$$-stability of impulsive stochastic neural networks with mixed delays. Zbl 1198.34168
Xu, Liguang; Xu, Daoyi
2009
Global exponential $$p$$-stability of stochastic non-autonomous Takagi-Sugeno fuzzy cellular neural networks with time-varying delays and impulses. Zbl 1338.93212
Long, Shujun; Xu, Daoyi
2014
New results for studying a certain class of nonlinear delay differential systems. Zbl 1368.34088
Xu, Daoyi; Xu, Liguang
2010
Domain of attraction of nonlinear discrete systems with delays. Zbl 0939.39013
Xu, Daoyi; Li, Shuyong; Pu, Zhiling; Guo, Qingyi
1999
Invariant and attracting sets of Volterra difference equations with delays. Zbl 1065.39021
Xu, Daoyi
2003
Global dynamics for non-autonomous reaction-diffusion neural networks with time-varying delays. Zbl 1155.68076
Yang, Zhiguo; Xu, Daoyi
2008
Invariant and attracting set of fuzzy cellular neural networks with variable delays. Zbl 1225.34085
Huang, Yumei; Zhu, Wei; Xu, Daoyi
2009
Exponential stability of singularly perturbed impulsive delay differential equations. Zbl 1115.34073
Zhu, Wei; Xu, Daoyi; Yang, Chunde
2007
Global exponential stability of non-autonomous cellular neural networks with impulses and time-varying delays. Zbl 1322.92002
Long, Shujun; Xu, Daoyi
2013
Exponential stability of nonlinear impulsive neutral integro-differential equations. Zbl 1155.34354
Xu, Liguang; Xu, Daoyi
2008
Asymptotic behavior of nonlinear difference equations with delays. Zbl 1002.39017
Xu, Daoyi
2001
Stability for Hopfield neural networks with time delay. Zbl 1012.93054
Wang, Linshan; Xu, Daoyi
2002
Globally exponential stability of periodic solutions for impulsive neutral-type neural networks with delays. Zbl 1286.34101
Wang, Xiaohu; Li, Shuyong; Xu, Daoyi
2011
Global exponential stability of Hopfield neural networks with variable delays and impulsive effects. Zbl 1231.92012
Yang, Zhi-Chun; Xu, Dao-Yi
2006
Stability analysis of Hopfield neural networks with time delay. Zbl 1015.92004
Wang, Linshan; Xu, Daoyi
2002
Uniform asymptotic stability in terms of two measures for functional differential equations. Zbl 0854.34074
Xu, Dao Yi
1996
Existence and exponential stability of periodic solution for impulsive Cohen-Grossberg neural networks with time-varying delays. Zbl 1308.34086
Li, Bing; Xu, Daoyi
2012
Existence-uniqueness problems for infinited dimensional stochastic differential equations with delays. Zbl 1319.34141
Xu, Daoyi; Wang, Xiaohu; Yang, Zhiguo
2012
Stability analysis of delay neural networks with impulsive effects. Zbl 1134.34052
Yang, Zhichun; Xu, Daoyi
2006
Corrigendum to “Moment estimate and existence for solutions of stochastic functional differential equations”. Zbl 1305.34140
Xu, Daoyi; Li, Bing; Long, Shujun; Teng, Lingying
2015
Stability region of nonlinear integrodifferential equations. Zbl 0974.45006
Li, Shuyong; Xu, Daoyi; Zhao, Hongyong
2000
On solvability of neutral stochastic functional differential equations with infinite delay. Zbl 1343.34176
Teng, Lingying; Long, Shujun; Xu, Daoyi
2014
Existence and global attractivity of periodic solution for impulsive stochastic Volterra-Levin equations. Zbl 1340.34145
Li, Dingshi; Xu, Daoyi
2012
Existence-uniqueness and exponential estimate of pathwise solutions of retarded stochastic evolution systems with time smooth diffusion coefficients. Zbl 1362.60063
Xu, Daoyi; Zhou, Weisong
2017
A new nonlinear integro-differential inequality and its application. Zbl 1177.26030
Xu, Daoyi; Wang, Xiaohu
2009
Global exponential stability of impulsive dynamical systems with distributed delays. Zbl 1183.34115
Long, Shujun; Xu, Daoyi; Zhu, Wei
2007
Stability analysis of second order Hopfield neural networks with time delays. Zbl 1082.68687
Pei, Jinan; Xu, Daoyi; Yang, Zhichun; Zhu, Wei
2005
Global attractor of reaction-diffusion equations with delays. Zbl 0958.35143
Xu, Daoyi
2000
Stability analysis of bidirectional associative memory neural networks with distributed delays. Zbl 1018.34070
Zhao, Hongyong; Xu, Daoyi
2001
Robust stability of neutral delay differential systems. Zbl 0800.93281
Xu, Dao Yi
1994
Stability and convergence of solutions of functional differential equations. Zbl 0796.34073
Xu, Daoyi
1991
Further results on the bounds of the zeros of quasi-critical polynomials. Zbl 1365.30004
Zhang, Zifang; Xu, Daoyi; Niu, Jianren
2004
Asymptotic behavior of Hopfield neural networks with delays. Zbl 1231.34133
Xu, Daoyi
2001
Dissipativity of neural networks with continuously distributed delays. Zbl 1118.34072
Li, Bing; Xu, Daoyi
2006
Stability of linear systems with time-varying delays. Zbl 0694.34059
Xu, Daoyi
1988
Stability criteria for linear delay differential systems. Zbl 0632.93064
Xu, Daoyi
1987
The properties of fuzzy solution for the fuzzy retarded integro-differential equation. Zbl 1088.45503
Zhang, Zifang; Xu, Daoyi
2004
Stability of neutral functional differential systems. Zbl 0771.34057
Xu, Daoyi
1992
The stability of large-scale Volterra integrodifferential systems. Zbl 0737.45006
Xu, Daoyi; Xie, Zunshi
1991
Robust bibo stabilization of linear large-scale systems with nonlinear delay perturbations. Zbl 0876.93079
Xu, Dao-Yi; Zhong, Shou-Ming; Yan, Xiang-Wei
1996
Existence and moment estimates for solutions to neutral stochastic functional differential equations. Zbl 1313.34251
Xu, Daoyi; Li, Bing; Long, Shujun; Teng, Lingying; Zhou, Weisong
2014
Domain of attraction of nonlinear functional difference systems. Zbl 1006.39007
Xu, Daoyi; Xu, Anshi
1999
Stability and boundedness of functional differential equations. Zbl 0779.34063
Xu, Daoyi
1993
Necessary and sufficient conditions for robust oscillation. Zbl 0853.39008
Xu, Dao Yi
1996
Periodic solutions and stability of impulsive competitive systems with infinitely distributed delays and feedback controls. Zbl 1199.34445
Yang, Zhichun; Xu, Daoyi
2009
A note on stability of stochastic delay neural networks. Zbl 1240.93362
Zhang, Zifang; Xu, Daoyi
2010
Counter-example to a recent result on the decay rate for stable linear delay systems by A. Hmamed. Zbl 0637.93057
Xu, Daoyi
1986
Attraction of stochastic neutral delay differential equations with Markovian switching. Zbl 1285.93090
Li, Bing; Xu, Daoyi
2014
Simple stability criteria for interval matrices. Zbl 0604.34031
Xu, Daoyi
1986
On the bounds for the roots of a polynomial. Zbl 0611.93053
Xu, Daoyi
1987
Existence-uniqueness and exponential estimate of pathwise solutions of retarded stochastic evolution systems with time smooth diffusion coefficients. Zbl 1362.60063
Xu, Daoyi; Zhou, Weisong
2017
Corrigendum to “Moment estimate and existence for solutions of stochastic functional differential equations”. Zbl 1305.34140
Xu, Daoyi; Li, Bing; Long, Shujun; Teng, Lingying
2015
Moment estimate and existence for solutions of stochastic functional differential equations. Zbl 1304.34134
Xu, Daoyi; Li, Bing; Long, Shujun; Teng, Lingying
2014
Global exponential $$p$$-stability of stochastic non-autonomous Takagi-Sugeno fuzzy cellular neural networks with time-varying delays and impulses. Zbl 1338.93212
Long, Shujun; Xu, Daoyi
2014
On solvability of neutral stochastic functional differential equations with infinite delay. Zbl 1343.34176
Teng, Lingying; Long, Shujun; Xu, Daoyi
2014
Existence and moment estimates for solutions to neutral stochastic functional differential equations. Zbl 1313.34251
Xu, Daoyi; Li, Bing; Long, Shujun; Teng, Lingying; Zhou, Weisong
2014
Attraction of stochastic neutral delay differential equations with Markovian switching. Zbl 1285.93090
Li, Bing; Xu, Daoyi
2014
Periodic solutions of stochastic delay differential equations and applications to logistic equation and neural networks. Zbl 1316.34071
Li, Dingshi; Xu, Daoyi
2013
Further results on existence-uniqueness for stochastic functional differential equations. Zbl 1280.34081
Xu, DaoYi; Wang, XiaoHu; Yang, ZhiGuo
2013
Attracting and quasi-invariant sets of stochastic neutral partial functional differential equations. Zbl 1289.35341
Li, Dingshi; Xu, Daoyi
2013
Stability analysis for impulsive stochastic delay differential equations with Markovian switching. Zbl 1392.93050
Li, Bing; Li, Dingshi; Xu, Daoyi
2013
Global exponential stability of non-autonomous cellular neural networks with impulses and time-varying delays. Zbl 1322.92002
Long, Shujun; Xu, Daoyi
2013
Global attracting set and stability of stochastic neutral partial functional differential equations with impulses. Zbl 1250.93124
Long, Shujun; Teng, Lingying; Xu, Daoyi
2012
Existence and global $$p$$-exponential stability of periodic solution for impulsive stochastic neural networks with delays. Zbl 1244.93169
Li, Dingshi; Wang, Xiaohu; Xu, Daoyi
2012
Mean square exponential stability of impulsive stochastic reaction-diffusion Cohen-Grossberg neural networks with delays. Zbl 1246.35214
Li, Dingshi; He, Danhua; Xu, Daoyi
2012
Existence and exponential stability of periodic solution for impulsive Cohen-Grossberg neural networks with time-varying delays. Zbl 1308.34086
Li, Bing; Xu, Daoyi
2012
Existence-uniqueness problems for infinited dimensional stochastic differential equations with delays. Zbl 1319.34141
Xu, Daoyi; Wang, Xiaohu; Yang, Zhiguo
2012
Existence and global attractivity of periodic solution for impulsive stochastic Volterra-Levin equations. Zbl 1340.34145
Li, Dingshi; Xu, Daoyi
2012
Globally exponential stability of periodic solutions for impulsive neutral-type neural networks with delays. Zbl 1286.34101
Wang, Xiaohu; Li, Shuyong; Xu, Daoyi
2011
Random attractors for second-order stochastic lattice dynamical systems. Zbl 1181.60103
Wang, Xiaohu; Li, Shuyong; Xu, Daoyi
2010
New results for studying a certain class of nonlinear delay differential systems. Zbl 1368.34088
Xu, Daoyi; Xu, Liguang
2010
A note on stability of stochastic delay neural networks. Zbl 1240.93362
Zhang, Zifang; Xu, Daoyi
2010
Existence theorems for periodic Markov process and stochastic functional differential equations. Zbl 1171.34056
Xu, Daoyi; Huang, Yumei; Yang, Zhiguo
2009
Exponential $$p$$-stability of impulsive stochastic Cohen-Grossberg neural networks with mixed delays. Zbl 1165.34043
Wang, Xiaohu; Guo, Qingyi; Xu, Daoyi
2009
Mean square exponential stability of impulsive control stochastic systems with time-varying delay. Zbl 1227.34082
Xu, Liguang; Xu, Daoyi
2009
Global exponential stability of impulsive fuzzy cellular neural networks with mixed delays and reaction-diffusion terms. Zbl 1198.34094
Wang, Xiaohu; Xu, Daoyi
2009
$$p$$-attracting and $$p$$-invariant sets for a class of impulsive stochastic functional differential equations. Zbl 1165.60329
Xu, Liguang; Xu, Daoyi
2009
Exponential $$p$$-stability of impulsive stochastic neural networks with mixed delays. Zbl 1198.34168
Xu, Liguang; Xu, Daoyi
2009
Invariant and attracting set of fuzzy cellular neural networks with variable delays. Zbl 1225.34085
Huang, Yumei; Zhu, Wei; Xu, Daoyi
2009
A new nonlinear integro-differential inequality and its application. Zbl 1177.26030
Xu, Daoyi; Wang, Xiaohu
2009
Periodic solutions and stability of impulsive competitive systems with infinitely distributed delays and feedback controls. Zbl 1199.34445
Yang, Zhichun; Xu, Daoyi
2009
Existence-uniqueness and continuation theorems for stochastic functional differential equations. Zbl 1161.34055
Xu, Daoyi; Yang, Zhiguo; Huang, Yumei
2008
Global impulsive exponential synchronization of time-delayed coupled chaotic systems. Zbl 1141.37019
Zhu, Wei; Xu, Daoyi; Huang, Yumei
2008
Attracting and invariant sets of fuzzy Cohen-Grossberg neural networks with time-varying delays. Zbl 1227.92001
He, Danhua; Xu, Daoyi
2008
Global dynamics for non-autonomous reaction-diffusion neural networks with time-varying delays. Zbl 1155.68076
Yang, Zhiguo; Xu, Daoyi
2008
Exponential stability of nonlinear impulsive neutral integro-differential equations. Zbl 1155.34354
Xu, Liguang; Xu, Daoyi
2008
Stability analysis and design of impulsive control systems with time delay. Zbl 1366.93276
Yang, Zhichun; Xu, Daoyi
2007
Attracting and invariant sets for a class of impulsive functional differential equations. Zbl 1154.34393
Xu, Daoyi; Yang, Zhichun
2007
Exponential stability of nonlinear impulsive neutral differential equations with delays. Zbl 1122.34063
Xu, Daoyi; Yang, Zhiguo; Yang, Zhichun
2007
Mean square exponential stability of impulsive stochastic difference equations. Zbl 1255.39017
Yang, Zhiguo; Xu, Daoyi
2007
Robust stability of uncertain impulsive control systems with time-varying delay. Zbl 1133.93362
Yang, Zhichun; Xu, Daoyi
2007
Exponential stability of singularly perturbed impulsive delay differential equations. Zbl 1115.34073
Zhu, Wei; Xu, Daoyi; Yang, Chunde
2007
Global exponential stability of impulsive dynamical systems with distributed delays. Zbl 1183.34115
Long, Shujun; Xu, Daoyi; Zhu, Wei
2007
Impulsive effects on stability of Cohen-Grossberg neural networks with variable delays. Zbl 1103.34067
Yang, Zhichun; Xu, Daoyi
2006
Exponential $$p$$-stability of impulsive stochastic differential equations with delays. Zbl 1236.60061
Yang, Zhiguo; Xu, Daoyi; Xiang, Li
2006
Global exponential stability of impulsive delay difference equation. Zbl 1148.39304
Zhu, Wei; Xu, Daoyi; Yang, Zhichun
2006
Existence and exponential stability of periodic solution for impulsive delay differential equations and applications. Zbl 1092.34034
Yang, Zhichun; Xu, Daoyi
2006
Global exponential stability of impulsive integro-differential equation. Zbl 1093.45004
Xu, Daoyi; Zhu, Wei; Long, Shujun
2006
Global attraction and stability for Cohen–Grossberg neural networks with delays. Zbl 1178.68437
Lu, Kening; Xu, Daoyi; Yang, Zhichun
2006
Global exponential stability of Hopfield neural networks with variable delays and impulsive effects. Zbl 1231.92012
Yang, Zhi-Chun; Xu, Dao-Yi
2006
Stability analysis of delay neural networks with impulsive effects. Zbl 1134.34052
Yang, Zhichun; Xu, Daoyi
2006
Dissipativity of neural networks with continuously distributed delays. Zbl 1118.34072
Li, Bing; Xu, Daoyi
2006
Impulsive delay differential inequality and stability of neural networks. Zbl 1091.34046
Xu, Daoyi; Yang, Zhichun
2005
Stability analysis of second order Hopfield neural networks with time delays. Zbl 1082.68687
Pei, Jinan; Xu, Daoyi; Yang, Zhichun; Zhu, Wei
2005
Further results on the bounds of the zeros of quasi-critical polynomials. Zbl 1365.30004
Zhang, Zifang; Xu, Daoyi; Niu, Jianren
2004
The properties of fuzzy solution for the fuzzy retarded integro-differential equation. Zbl 1088.45503
Zhang, Zifang; Xu, Daoyi
2004
Global exponential stability of Hopfield reaction-diffusion neural networks with time-varying delays. Zbl 1186.82062
Wang, Linshan; Xu, Daoyi
2003
Asymptotic behavior of a class of reaction–diffusion equations with delays. Zbl 1031.35065
Wang, Linshan; Xu, Daoyi
2003
Invariant and attracting sets of Volterra difference equations with delays. Zbl 1065.39021
Xu, Daoyi
2003
Global asymptotic stability of bidirectional associative memory neural networks with S-type distributed delays. Zbl 1047.68115
Wang, Linshan; Xu, Daoyi
2002
Invariant set and attractivity of nonlinear differential equations with delays. Zbl 1023.34066
Xu, Daoyi; Zhao, Hongyong
2002
Stability for Hopfield neural networks with time delay. Zbl 1012.93054
Wang, Linshan; Xu, Daoyi
2002
Stability analysis of Hopfield neural networks with time delay. Zbl 1015.92004
Wang, Linshan; Xu, Daoyi
2002
Global dynamics of Hopfield neural networks involving variable delays. Zbl 0990.34036
Xu, Daoyi; Zhao, Hongyong; Zhu, Hong
2001
Invariant and attracting sets of Hopfield neural networks with delay. Zbl 1003.92002
Xu, Dao-Yi; Zhao, Hong-Yong
2001
Invariant set and stable region of a class of partial differential equations with time delays. Zbl 0981.35094
Xu, Daoyi; Li, Shuyong; Zhou, Xiaoping; Pu, Zhilin
2001
Asymptotic behavior of nonlinear difference equations with delays. Zbl 1002.39017
Xu, Daoyi
2001
Stability analysis of bidirectional associative memory neural networks with distributed delays. Zbl 1018.34070
Zhao, Hongyong; Xu, Daoyi
2001
Asymptotic behavior of Hopfield neural networks with delays. Zbl 1231.34133
Xu, Daoyi
2001
Stability region of nonlinear integrodifferential equations. Zbl 0974.45006
Li, Shuyong; Xu, Daoyi; Zhao, Hongyong
2000
Global attractor of reaction-diffusion equations with delays. Zbl 0958.35143
Xu, Daoyi
2000
Domain of attraction of nonlinear discrete systems with delays. Zbl 0939.39013
Xu, Daoyi; Li, Shuyong; Pu, Zhiling; Guo, Qingyi
1999
Domain of attraction of nonlinear functional difference systems. Zbl 1006.39007
Xu, Daoyi; Xu, Anshi
1999
Uniform asymptotic stability of abstract functional differential equations. Zbl 0891.34073
Liu, Xinzhi; Xu, Dao Yi
1997
Uniform asymptotic stability in terms of two measures for functional differential equations. Zbl 0854.34074
Xu, Dao Yi
1996
Robust bibo stabilization of linear large-scale systems with nonlinear delay perturbations. Zbl 0876.93079
Xu, Dao-Yi; Zhong, Shou-Ming; Yan, Xiang-Wei
1996
Necessary and sufficient conditions for robust oscillation. Zbl 0853.39008
Xu, Dao Yi
1996
Robust stability of neutral delay differential systems. Zbl 0800.93281
Xu, Dao Yi
1994
Stability and boundedness of functional differential equations. Zbl 0779.34063
Xu, Daoyi
1993
Integro-differential equations and delay integral inequalities. Zbl 0760.34059
Xu, Daoyi
1992
Stability of neutral functional differential systems. Zbl 0771.34057
Xu, Daoyi
1992
Stability and convergence of solutions of functional differential equations. Zbl 0796.34073
Xu, Daoyi
1991
The stability of large-scale Volterra integrodifferential systems. Zbl 0737.45006
Xu, Daoyi; Xie, Zunshi
1991
Stability of linear systems with time-varying delays. Zbl 0694.34059
Xu, Daoyi
1988
Stability criteria for linear delay differential systems. Zbl 0632.93064
Xu, Daoyi
1987
On the bounds for the roots of a polynomial. Zbl 0611.93053
Xu, Daoyi
1987
Counter-example to a recent result on the decay rate for stable linear delay systems by A. Hmamed. Zbl 0637.93057
Xu, Daoyi
1986
Simple stability criteria for interval matrices. Zbl 0604.34031
Xu, Daoyi
1986
Simple criteria for stability of interval matrices. Zbl 0555.93053
Xu, Daoyi
1985
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### Cited by 1,040 Authors

 47 Xu, Daoyi 30 Cao, Jinde 24 Li, Xiaodi 24 Wang, Linshan 24 Xu, Liguang 22 Jiang, Daqing 21 Li, Dingshi 20 Wang, Xiaohu 18 Zhu, Quanxin 16 Zhong, Shou-Ming 15 Yang, Zhichun 15 Zhou, Shengfan 14 He, Danhua 14 Song, Qiankun 13 Rao, Ruofeng 12 Jian, Jigui 12 Li, Chuandong 12 Long, Shujun 11 Li, Kelin 11 Sun, Ji Tao 11 Wang, Yangfan 11 Yang, Xinsong 9 Al-saedi, Ahmed Eid Salem 9 Chen, Huabin 9 Hayat, Tasawar 9 Jiang, Haijun 9 Rakkiyappan, Rajan 9 Shu, Ji 9 Wang, Bixiang 9 Zhao, Hongyong 8 Chen, Wuhua 8 Li, Yongkun 8 Li, Zhi 8 Zhu, Wei 7 Balasubramaniam, Pagavathigounder 7 Deng, Feiqi 7 Fang, Jian’an 7 Hu, Hongxiao 7 Huang, Tingwen 7 Kao, Yonggui 7 Li, Bing 7 Liu, Qun 7 Liu, Xinzhi 7 Lu, Jianquan 7 Pu, Zhilin 7 Wan, Li 7 Xu, Liping 7 Zheng, Song 7 Zheng, Wei Xing 7 Zhou, Qinghua 6 Ahn, Choon Ki 6 Chen, Zhang 6 Fu, Xilin 6 Li, Shuyong 6 Teng, Zhi-dong 6 Wang, Zhaojuan 6 Wei, Tengda 6 Zhang, Yu 6 Zhou, Wuneng 5 Akça, Haydar 5 Caraballo Garrido, Tomás 5 Cheng, Pei 5 Ding, Xiaohua 5 Feng, Jianwen 5 Ge, Shuzhi Sam 5 Huang, Chuangxia 5 Huang, Zhenkun 5 Mohamad, Sannay 5 O’Regan, Donal 5 Teng, Lingying 5 Valero, José 5 Wang, Xiongrui 5 Wu, Kaining 5 Yang, Zhiguo 5 Yao, Fengqi 5 Yuan, Sanling 5 Zhang, Wenbing 5 Zuo, Wenjie 4 Ding, Nan 4 Gopalsamy, Kondalsamy 4 Han, Xiaoying 4 Huang, Yumei 4 Jiang, Feng 4 Le Van Hien 4 Li, Jinxian 4 Li, Zuoan 4 Liu, Zhijun 4 Lu, Junguo 4 Lu, Kening 4 Lu, Xiaomei 4 Ren, Yong 4 Shi, Lin 4 Sun, Jianhua 4 Tang, Yang 4 Tu, Zhengwen 4 Wang, Renhai 4 Wang, Yanwu 4 Xiao, Jiangwen 4 Xu, Shengyuan 4 Yan, Litan ...and 940 more Authors
all top 5

### Cited in 150 Serials

 54 Applied Mathematics and Computation 43 Advances in Difference Equations 35 Abstract and Applied Analysis 31 Journal of the Franklin Institute 30 Chaos, Solitons and Fractals 27 Communications in Nonlinear Science and Numerical Simulation 26 Nonlinear Analysis. Real World Applications 25 Nonlinear Dynamics 24 Neural Networks 22 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 22 Nonlinear Analysis. Hybrid Systems 21 International Journal of Control 21 Journal of Mathematical Analysis and Applications 20 Applied Mathematics Letters 17 Mathematical Problems in Engineering 17 Discrete Dynamics in Nature and Society 16 Computers & Mathematics with Applications 16 Discrete and Continuous Dynamical Systems. Series B 15 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 14 International Journal of Systems Science 14 Journal of Inequalities and Applications 13 Journal of Applied Mathematics 12 Physica A 12 Automatica 12 Fuzzy Sets and Systems 10 Journal of Mathematical Physics 10 Mathematics and Computers in Simulation 9 Mathematical Methods in the Applied Sciences 9 Journal of Differential Equations 7 Journal of Computational and Applied Mathematics 7 Systems & Control Letters 7 Mathematical and Computer Modelling 6 Statistics & Probability Letters 6 Journal of Dynamics and Differential Equations 6 Chaos 6 Asian Journal of Control 5 Applied Mathematical Modelling 5 Journal of Difference Equations and Applications 5 Discrete and Continuous Dynamical Systems 5 Acta Mathematica Sinica. English Series 5 Communications on Pure and Applied Analysis 5 Mathematical Biosciences and Engineering 5 AIMS Mathematics 4 Circuits, Systems, and Signal Processing 4 Stochastic Analysis and Applications 4 Random Operators and Stochastic Equations 4 Differential Equations and Dynamical Systems 4 Methodology and Computing in Applied Probability 4 Stochastics and Dynamics 4 International Journal of Biomathematics 4 International Journal of Systems Science. Principles and Applications of Systems and Integration 3 Applicable Analysis 3 Acta Applicandae Mathematicae 3 Applied Mathematics. Series B (English Edition) 3 Filomat 3 Complexity 3 Journal of Vibration and Control 3 International Journal of Applied Mathematics and Computer Science 3 Journal of Systems Science and Complexity 3 Journal of Applied Mathematics and Computing 3 Boundary Value Problems 3 International Journal of Differential Equations 2 Modern Physics Letters B 2 Rocky Mountain Journal of Mathematics 2 Journal of Optimization Theory and Applications 2 Kybernetika 2 Results in Mathematics 2 SIAM Journal on Control and Optimization 2 Applied Mathematics and Mechanics. (English Edition) 2 Neural Computation 2 Communications in Statistics. Theory and Methods 2 International Journal of Computer Mathematics 2 Journal of Nonlinear Science 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Nonlinear Analysis. Modelling and Control 2 Frontiers of Mathematics in China 2 Discrete and Continuous Dynamical Systems. Series S 2 Advances in Mathematical Physics 2 Science China. Mathematics 2 Afrika Matematika 2 Journal of Applied Analysis and Computation 2 Electronic Journal of Mathematical Analysis and Applications EJMAA 2 Journal of Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications 2 Open Mathematics 1 International Journal of Modern Physics B 1 Bulletin of the Australian Mathematical Society 1 Indian Journal of Pure & Applied Mathematics 1 International Journal of Theoretical Physics 1 Journal of Mathematical Biology 1 Mathematical Notes 1 Ukrainian Mathematical Journal 1 Acta Mathematica Vietnamica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Information Sciences 1 Journal of the Korean Mathematical Society 1 Journal of Multivariate Analysis 1 Osaka Journal of Mathematics 1 Theoretical Computer Science 1 Tôhoku Mathematical Journal. Second Series ...and 50 more Serials
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### Cited in 28 Fields

 415 Ordinary differential equations (34-XX) 301 Systems theory; control (93-XX) 291 Biology and other natural sciences (92-XX) 220 Probability theory and stochastic processes (60-XX) 122 Partial differential equations (35-XX) 107 Dynamical systems and ergodic theory (37-XX) 47 Difference and functional equations (39-XX) 28 Computer science (68-XX) 27 Operator theory (47-XX) 27 Numerical analysis (65-XX) 20 Integral equations (45-XX) 16 Real functions (26-XX) 14 Statistical mechanics, structure of matter (82-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 8 Combinatorics (05-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 8 Operations research, mathematical programming (90-XX) 6 Statistics (62-XX) 6 Information and communication theory, circuits (94-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Functions of a complex variable (30-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Astronomy and astrophysics (85-XX)