Robust Output Feedback Stabilization for Uncertain Discrete-Time Stochastic Neural Networks with Time-Varying Delay

被引:25
作者
Dong, Yali [1 ]
Wang, Huimin [1 ]
机构
[1] Tianjin Polytech Univ, Sch Math Sci, Tianjin 300387, Peoples R China
关键词
Discrete-time stochastic neural networks; Exponentially stabization; Output feedback control; Lyapunov-Krasovskii functional; Time-varying delay; STABILITY ANALYSIS; EXPONENTIAL STABILITY; SYSTEMS; DESIGN;
D O I
10.1007/s11063-019-10077-x
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This paper investigates the problem of robust exponential stabilization of uncertain discrete-time stochastic neural networks with time-varying delay based on output feedback control. By choosing an augmented Lyapunov-Krasovskii functional, we established the sufficient conditions of the delay-dependent asymptotical stabilization in the mean square for a class of discrete-time stochastic neural networks with time-varying delay. Furthermore, we obtain the criteria of robust global exponential stabilization in the mean square for uncertain discrete-time stochastic neural networks with time-varying delay. Finally, we give numerical examples to illustrate the effectiveness of the proposed results.
引用
收藏
页码:83 / 103
页数:21
相关论文
共 30 条
[1]  
[Anonymous], ABSTR APPL AN, DOI DOI 10.1016/J.J0MS.2013.08.004
[2]   Mean square exponential stability of uncertain stochastic delayed neural networks [J].
Chen, Wu-Hua ;
Lu, Xiaomei .
PHYSICS LETTERS A, 2008, 372 (07) :1061-1069
[3]  
Dong Y, 2018, NEURAL COMPUT APPL, DOI [10.1007//s00521-018-3671-2, DOI 10.1007//S00521-018-3671-2]
[4]   Robust Exponential Stabilization for Switched Neutral Neural Networks with Mixed Time-Varying Delays [J].
Dong, Yali ;
Guo, Liangliang ;
Hao, Jing ;
Li, Tianrui .
NEURAL PROCESSING LETTERS, 2019, 50 (02) :1381-1400
[5]   Robust stability and H∞ control for nonlinear discrete-time switched systems with interval time-varying delay [J].
Dong, Yali ;
Liang, Shuang ;
Wang, Huiming .
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (06) :1999-2015
[6]   Observer design for neutral-type neural networks with discrete and distributed time-varying delays [J].
Dong, Yali ;
Chen, Laijun ;
Mei, Shengwei .
INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 2019, 33 (03) :527-544
[7]   On Extended Dissipativity of Discrete-Time Neural Networks With Time Delay [J].
Feng, Zhiguang ;
Zheng, Wei Xing .
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2015, 26 (12) :3293-3300
[8]   LMI-based stability criteria for neural networks with multiple time-varying delays [J].
He, Y ;
Wang, QG ;
Wu, M .
PHYSICA D-NONLINEAR PHENOMENA, 2005, 212 (1-2) :126-136
[9]   Global exponential periodicity and stability of discrete-time complex-valued recurrent neural networks with time-delays [J].
Hu, Jin ;
Wang, Jun .
NEURAL NETWORKS, 2015, 66 :119-130
[10]   Periodicity of non-autonomous inertial neural networks involving proportional delays and non-reduced order method [J].
Huang, Chuangxia ;
Zhang, Hua .
INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2019, 12 (02)