Improved Results on Passivity Analysis of Uncertain Neural Networks with Time-Varying Discrete and Distributed Delays

被引：56
作者：
Chen, Yonggang [1 ]
Li, Wenlin [2 ]
Bi, Weiping [2 ]
机构：
[1] Henan Inst Sci & Technol, Dept Math, Xinxiang 453003, Peoples R China
[2] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Peoples R China
来源：
NEURAL PROCESSING LETTERS | 2009年 / 30卷 / 02期
关键词：
Passivity analysis; Uncertain neural networks; Time-varying discrete and distributed delays; Linear matrix inequalities (LMIs); GLOBAL ASYMPTOTIC STABILITY; EXPONENTIAL STABILITY; DEPENDENT STABILITY; SYSTEMS; CRITERION;
D O I：
10.1007/s11063-009-9116-2
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, the passivity analysis problem is investigated for uncertain neural networks with time-varying discrete and distributed delays. Based on direct delay decomposition idea and free-weighting matrix approach, several new delay-dependent passive criterions are derived in terms of linear matrix inequalities (LMIs), which can be easily checked by the Matlab LMI toolbox. Numerical examples show that the obtained results improve some existing ones.
引用
收藏
页码：155 / 169
页数：15
相关论文
共 38 条
[1]   Global asymptotic stability of a larger class of neural networks with constant time delay [J].
Arik, S .
PHYSICS LETTERS A, 2003, 311 (06) :504-511
[2]  
Bevelevich V., 1968, Classical Network Synthesis
[3]   Passivity approach to fuzzy control systems [J].
Calcev, G ;
Gorez, R ;
De Neyer, M .
AUTOMATICA, 1998, 34 (03) :339-344
[4]   Exponential stability and periodic oscillatory solution in BAM networks with delays [J].
Cao, JD ;
Wang, L .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2002, 13 (02) :457-463
[5]   Passivity analysis for uncertain neural networks with discrete and distributed time-varying delays [J].
Chen, Bing ;
Li, Hongyi ;
Lin, Chong ;
Zhou, Qi .
PHYSICS LETTERS A, 2009, 373 (14) :1242-1248
[6]   Robust global exponential stability of Cohen-Grossberg neural networks with time delays [J].
Chen, TP ;
Rong, LB .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2004, 15 (01) :203-206
[7]   Passivity and complexity [J].
Chua, LO .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1999, 46 (01) :71-82
[8]   Robust passive control for uncertain discrete-time systems with time-varying delays [J].
Cui, BT ;
Hua, MG .
CHAOS SOLITONS & FRACTALS, 2006, 29 (02) :331-341
[9]   Global stability of a class of neural networks with time-varying delay [J].
Ensari, T ;
Arik, S .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2005, 52 (03) :126-130
[10]   Robust passive control for Internet-based switching systems with time-delay [J].
Guan, Zhi-Hong ;
Zhang, Hao ;
Yang, Shuang-Hua .
CHAOS SOLITONS & FRACTALS, 2008, 36 (02) :479-486
1234