Exponential stabilization of delayed recurrent neural networks: A state estimation based approach

被引:57
作者
Huang, He [1 ]
Huang, Tingwen [2 ]
Chen, Xiaoping [1 ]
Qian, Chunjiang [3 ]
机构
[1] Soochow Univ, Sch Elect & Informat Engn, Suzhou 215006, Peoples R China
[2] Texas A&M Univ, Doha 5825, Qatar
[3] Univ Texas San Antonio, Dept Elect & Comp Engn, San Antonio, TX 78249 USA
基金
中国国家自然科学基金;
关键词
Recurrent neural networks; Time delay; Exponential stabilization; State estimation; Decoupling; TIME-VARYING DELAYS; GLOBAL ASYMPTOTIC STABILITY; DISTRIBUTED DELAYS; DISCRETE; PARAMETERS;
D O I
10.1016/j.neunet.2013.08.006
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 is concerned with the stabilization problem of delayed recurrent neural networks. As the states of neurons are usually difficult to be fully measured, a state estimation based approach is presented. First, a sufficient condition is derived such that the augmented system under consideration is globally exponentially stable. Then, by employing a decoupling technique, the gain matrices of the controller and state estimator are achieved by solving some linear matrix inequalities. Finally, a delayed neural network with chaotic behaviors is exploited to demonstrate the applicability of the developed result. (C) 2013 Elsevier Ltd. All rights reserved.
引用
收藏
页码:153 / 157
页数:5
相关论文
共 32 条
[1]   An analysis of exponential stability of delayed neural networks with time varying delays [J].
Arik, S .
NEURAL NETWORKS, 2004, 17 (07) :1027-1031
[2]  
Boyd S., 1994, LINEAR MATRIX INEQUA
[3]   Global asymptotical stability of recurrent neural networks with multiple discrete delays and distributed delays [J].
Cao, Jinde ;
Yuan, Kun ;
Li, Han-Xiong .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2006, 17 (06) :1646-1651
[4]   Stochastic state estimation for neural networks with distributed delays and Markovian jump [J].
Chen, Yun ;
Zheng, Wei Xing .
NEURAL NETWORKS, 2012, 25 :14-20
[5]   A new upper bound for the norm of interval matrices with application to robust stability analysis of delayed neural networks [J].
Faydasicok, Ozlem ;
Arik, Sabri .
NEURAL NETWORKS, 2013, 44 :64-71
[6]   Delay-dependent state estimation for delayed neural networks [J].
He, Yong ;
Wang, Qing-Guo ;
Wu, Min ;
Lin, Chong .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2006, 17 (04) :1077-1081
[7]   Delay-dependent multistability in recurrent neural networks [J].
Huang, Gan ;
Cao, Jinde .
NEURAL NETWORKS, 2010, 23 (02) :201-209
[8]   Robust state estimation for uncertain neural networks with time-varying delay [J].
Huang, He ;
Feng, Gang ;
Cao, Jinde .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2008, 19 (08) :1329-1339
[9]   A mode-dependent approach to state estimation of recurrent neural networks with Markovian jumping parameters and mixed delays [J].
Huang, He ;
Huang, Tingwen ;
Chen, Xiaoping .
NEURAL NETWORKS, 2013, 46 :50-61
[10]   State estimation for static neural networks with time-varying delay [J].
Huang, He ;
Feng, Gang ;
Cao, Jinde .
NEURAL NETWORKS, 2010, 23 (10) :1202-1207