Globally exponential stability conditions for cellular neural networks with time-varying delays

被引：119

作者：

Zhou, DM ^{[1
]}

Cao, JD ^{[1
]}

机构：

[1] Yunnan Univ, Information Coll, Kunming 650091, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2002年 / 131卷 / 2-3期

关键词：

cellular neural network; time-varying delay; Lyapunov function; global exponential stability;

D O I：

10.1016/S0096-3003(01)00162-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the problems of global exponential stability for cellular neural networks (CNN) with time-varying delays are studied. Several sufficient conditions guaranteeing the network's global exponential stability are established. These results can easily be used to design and verify globally stable networks. Furthermore, the results presented here are independent of the form of specific delays and have important significance in both theory and applications. (C) 2002 Elsevier Science Inc. All rights reserved.

引用

页码：487 / 496

页数：10

共 50 条

[31] Exponential Stability of Cellular Neural Networks with Time-varying Delay
Meng Hua
Wang Yanhong
Lv Xuan
Wu, Xue-Li
CCDC 2009: 21ST CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, PROCEEDINGS, 2009, : 5669 - 5674
[32] Exponential Stability of Cellular Neural Networks with Time-varying Delay
Wu, Xueli
Meng, Xiangting
Lv, Xuan
PROCEEDINGS OF THE 2009 WRI GLOBAL CONGRESS ON INTELLIGENT SYSTEMS, VOL IV, 2009, : 81 - 85
[33] Complete stability of cellular neural networks with time-varying delays
Zeng, ZG
Wang, J
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2006, 53 (04) : 944 - 955
[34] STABILITY OF CELLULAR NEURAL NETWORKS WITH UNBOUNDED TIME-VARYING DELAYS
Wang, Lijuan
Shao, Jianying
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2008,
[35] Stability of impulsive cellular neural networks with time-varying delays
Chen, Yuanqiang
Journal of Networks, 2013, 8 (03) : 704 - 711
[36] Existence and global exponential stability of periodic solution of cellular neural networks with time-varying delays
Liu, ZG
Liao, LS
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 290 (01) : 247 - 262
[37] Existence and exponential stability of almost periodic solutions for cellular neural networks with time-varying delays
Liu, BW
Huang, LH
PHYSICS LETTERS A, 2005, 341 (1-4) : 135 - 144
[38] Exponential stability of impulsive high-order cellular neural networks with time-varying delays
Huang, Zaitang
Yang, Qi-Gui
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (01) : 592 - 600
[39] Global Exponential Stability of Almost Periodic Solution of Cellular Neural Networks with Time-Varying Delays
Jing Liu and Pei-Yong Zhu School of Applied Mathematics
JournalofElectronicScienceandTechnologyofChina, 2007, (03) : 238 - 242
[40] Exponential Stability of High-Order Fuzzy Cellular Neural Networks with Time-Varying Delays
Jiang, Haijun
Guo, Bianjing
Teng, Zhidong
ADVANCES IN NEURAL NETWORKS - ISNN 2009, PT 1, PROCEEDINGS, 2009, 5551 : 413 - 422

← 1 2 3 4 5 →