Improved Conditions for Passivity of Neural Networks With a Time-Varying Delay

被引：85
作者：
Zeng, Hong-Bing [1 ,2 ,3 ]
He, Yong [1 ,3 ]
Wu, Min [1 ,3 ]
Xiao, Hui-Qin [1 ,2 ,3 ]
机构：
[1] Cent South Univ, Sch Informat Sci & Engn, Changsha 410083, Peoples R China
[2] Hunan Univ Technol, Sch Elect & Informat Engn, Zhuzhou 412007, Peoples R China
[3] Hunan Engn Lab Adv Control & Intelligent Automat, Changsha 410083, Peoples R China
来源：
IEEE TRANSACTIONS ON CYBERNETICS | 2014年 / 44卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Lyapunov-Krasovskii functional; neural networks; passivity; time-varying delay; GLOBAL ASYMPTOTIC STABILITY; EXPONENTIAL STABILITY; ROBUST STABILITY; DISCRETE;
D O I：
10.1109/TCYB.2013.2272399
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The passivity of neural networks with a time-varying delay and norm-bounded parameter uncertainties is investigated in this paper. A complete delay-decomposing approach is employed to construct a Lyapunov-Krasovskii functional. Then, by utilizing a segmentation technique to consider the time-varying delay and its derivative and introducing some free-weighting matrices to express the relationship between the time-varying delay and its varying interval, some improved passivity criteria are derived. Finally, two numerical examples are given to show the effectiveness and the merits of the proposed method.
引用
收藏
页码：785 / 792
页数：8
相关论文
共 34 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, SIAM STUDIES APPL MA LINEAR MATRIX INEQUA, V15
[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]   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
[5]   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
[6]   Improved Results on Passivity Analysis of Uncertain Neural Networks with Time-Varying Discrete and Distributed Delays [J].
Chen, Yonggang ;
Li, Wenlin ;
Bi, Weiping .
NEURAL PROCESSING LETTERS, 2009, 30 (02) :155-169
[7]   CELLULAR NEURAL NETWORKS - THEORY [J].
CHUA, LO ;
YANG, L .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1988, 35 (10) :1257-1272
[8]   A new delay-dependent stability criterion for linear neutral systems with norm-bounded uncertainties in all system matrices [J].
Han, QL .
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2005, 36 (08) :469-475
[9]   STABILITY OF NONLINEAR DISSIPATIVE SYSTEMS [J].
HILL, D ;
MOYLAN, P .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1976, 21 (05) :708-711
[10]   Passivity analysis of neural networks with time delay [J].
Li, CG ;
Liao, XF .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2005, 52 (08) :471-475
1234