Global exponential stability for uncertain cellular neural networks with multiple time-varying delays via LMI approach

被引:33
作者
Gau, R. S.
Lien, C. H. [1 ]
Hsieh, J. G.
机构
[1] I Shou Univ, Dept Elect Engn, Kaohsiung 840, Taiwan
[2] Natl Sun Yat Sen Univ, Dept Elect Engn, Kaohsiung 804, Taiwan
关键词
D O I
10.1016/j.chaos.2005.11.036
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The global exponential stability for a class of uncertain delayed cellular neural networks (DCNN) with multiple time-varying delays is considered. Delay-dependent criteria are proposed to guarantee the robust stability of DCNN via linear matrix inequality (LMI) approach. Two classes of uncertainties on feedback matrices are investigated. Some numerical examples are given to illustrate the effectiveness of our results. From the numerical simulation, significant improvement over the recent results can be observed. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1258 / 1267
页数:10
相关论文
共 21 条
[1]   Global robust stability analysis of neural networks with discrete time delays [J].
Arik, S .
CHAOS SOLITONS & FRACTALS, 2005, 26 (05) :1407-1414
[2]   An analysis of global asymptotic stability of delayed cellular neural networks [J].
Arik, S .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2002, 13 (05) :1239-1242
[3]  
Boy S., 1994, Linear MatrixInequalities in System and Control Theory
[4]   Globally exponentially robust stability and periodicity of delayed neural networks [J].
Cao, J ;
Chen, TP .
CHAOS SOLITONS & FRACTALS, 2004, 22 (04) :957-963
[5]   Global asymptotic stability of a general class of recurrent neural networks with time-varying delays [J].
Cao, J ;
Wang, J .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2003, 50 (01) :34-44
[6]   A general framework for global asymptotic stability analysis of delayed neural networks based on LMI approach [J].
Cao, JD ;
Ho, DWC .
CHAOS SOLITONS & FRACTALS, 2005, 24 (05) :1317-1329
[7]   Global robust stability of interval cellular neural networks with time-varying delays [J].
Chen, AP ;
Cao, JD ;
Huang, LH .
CHAOS SOLITONS & FRACTALS, 2005, 23 (03) :787-799
[8]  
Chua L.-O., 2002, Cellular neural networks and visual computing: foundations and applications
[9]   CELLULAR NEURAL NETWORKS - THEORY [J].
CHUA, LO ;
YANG, L .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1988, 35 (10) :1257-1272
[10]  
Gu K., 2003, CONTROL ENGN SER BIR, DOI 10.1007/978-1-4612-0039-0