Further Results on Passivity Analysis of Neural Networks With Time-Varying Delay

被引:0
作者
Zeng, Hong-Bing [1 ]
Xiao, Shen-Ping [1 ]
Zhang, Chang-Fan [1 ]
Chen, Gang [1 ]
机构
[1] Hunan Univ Technol, Sch Elect & Informat Engn, Zhuzhou 412007, Peoples R China
来源
26TH CHINESE CONTROL AND DECISION CONFERENCE (2014 CCDC) | 2014年
关键词
Neural networks; passivity; delay-dependent; Lyapunov-Krasovskii functional; linear matrix inequalities (LMIs); GLOBAL EXPONENTIAL STABILITY; ASYMPTOTIC STABILITY; ROBUST STABILITY; DISCRETE; CRITERIA;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper deals with the problem of passivity analysis for neural networks with both time-varying delay and norm-bounded parameter uncertainties. By further utilizing the information of activation function and employing a reciprocally convex approach to consider the relationship between the time-varying delay and its time-varying interval, some improved delay-dependent passivity conditions are obtained, which are formulated in terms of linear matrix inequalities (LMIs) and can be readily solved by existing convex optimization algorithms. Finally, a numerical example is provided to verify the effectiveness of the proposed techniques.
引用
收藏
页码:161 / 165
页数:5
相关论文
共 36 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]  
BOYD S, 1994, LINEAR MATRIX INEQUI
[3]   Global asymptotic and robust stability of recurrent neural networks with time delays [J].
Cao, JD ;
Wang, J .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2005, 52 (02) :417-426
[4]   Image-processing algorithms realized by discrete-time cellular neural networks and their circuit implementations [J].
Chen, Hsin-Chieh ;
Hung, Yung-Ching ;
Chen, Chang-Kuo ;
Liao, Teh-Lu ;
Chen, Chun-Kuo .
CHAOS SOLITONS & FRACTALS, 2006, 29 (05) :1100-1108
[5]   CELLULAR NEURAL NETWORKS - THEORY [J].
CHUA, LO ;
YANG, L .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1988, 35 (10) :1257-1272
[6]   New delay-dependent stability criteria for neural networks with time-varying delay [J].
He, Yong ;
Liu, Guoping ;
Rees, D. .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2007, 18 (01) :310-314
[7]   Delay-dependent exponential stability of delayed neural networks with time-varying delay [J].
He, Yong ;
Wu, Min ;
She, Jin-Hua .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2006, 53 (07) :553-557
[8]   STABILITY OF NONLINEAR DISSIPATIVE SYSTEMS [J].
HILL, D ;
MOYLAN, P .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1976, 21 (05) :708-711
[9]   Stochastic stability analysis, of fuzzy hopfield neural networks with time-varying delays [J].
Huang, H ;
Ho, DWC ;
Lam, J .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2005, 52 (05) :251-255
[10]   Stability for Neural Networks With Time-Varying Delays via Some New Approaches [J].
Kwon, Oh-Min ;
Park, Myeong-Jin ;
Lee, Sang-Moon ;
Park, Ju H. ;
Cha, Eun-Jong .
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2013, 24 (02) :181-193