Complete Delay-Decomposing Approach to Asymptotic Stability for Neural Networks With Time-Varying Delays

被引：157

作者：

Zeng, Hong-Bing ^{[1
,2
]}

He, Yong ^{[1
]}

Wu, Min ^{[1
]}

Zhang, Chang-Fan ^{[2
]}

机构：

[1] Cent South Univ, Sch Informat Sci & Engn, Changsha 410083, Peoples R China

[2] Hunan Univ Technol, Sch Elect & Informat Engn, Zhuzhou 412008, Peoples R China

来源：

IEEE TRANSACTIONS ON NEURAL NETWORKS | 2011年 / 22卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Delay-dependent; neural networks; stability; time-varying delay; GLOBAL EXPONENTIAL STABILITY; DEPENDENT STABILITY; ROBUST STABILITY; NEUTRAL SYSTEMS; CRITERIA;

D O I：

10.1109/TNN.2011.2111383

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This paper is concerned with the problem of stability of neural networks with time-varying delays. A novel Lyapunov-Krasovskii functional decomposing the delays in all integral terms is proposed. By exploiting all possible information and considering independent upper bounds of the delay derivative in various delay intervals, some new generalized delay-dependent stability criteria are established, which are different from the existing ones and improve upon previous results. Numerical examples are finally given to demonstrate the effectiveness and the merits of the proposed method.

引用

页码：806 / 812

页数：7

共 50 条

[21] Delay - dependent Robust Stability of Neural Networks with Time-varying Delays [J].

Wang, Liyan ;

Wang, Yang ;

Liu, Jianxia .

PROCEEDINGS OF THE 30TH CHINESE CONTROL AND DECISION CONFERENCE (2018 CCDC), 2018, :3875-3878

[22] Stability analysis for neural networks with time-varying delay: A more general delay decomposition approach [J].

Chen, Yonggang ;

Bi, Weiping ;

Li, Wenlin .

NEUROCOMPUTING, 2010, 73 (4-6) :853-857

[23] New results on global asymptotic stability analysis for neural networks with time-varying delays [J].

Li, Tao ;

Guo, Lei ;

Lin, Chong ;

Sun, Changyin .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (01) :554-562

[24] Global asymptotic stability analysis for neutral stochastic neural networks with time-varying delays [J].

Su, Weiwei ;

Chen, Yiming .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (04) :1576-1581

[25] Novel Criterions for Global Asymptotic Stability of Static Neural Networks with Time-Varying Delays [J].

Wang, Li ;

Yu, Xiaopeng .

2011 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, 2011, :1115-1119

[26] Stability of switched neural networks with time-varying delays [J].

Liu, Chao ;

Yang, Zheng ;

Sun, Dihua ;

Liu, Xiaoyang ;

Liu, Wanping .

NEURAL COMPUTING & APPLICATIONS, 2018, 30 (07) :2229-2244

[27] Second-order reciprocally convex approach for stability of neural networks with interval time-varying delays [J].

Li, Chunxia ;

Qiu, Fang .

2017 29TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2017, :4271-4277

[28] Stability analysis of cellular neural networks with time-varying delay [J].

Wang Xingang ;

Zhang Dongmei ;

Liu Jun .

JOURNAL OF SYSTEMS ENGINEERING AND ELECTRONICS, 2009, 20 (02) :266-273

[29] Improved delay-dependent stability analysis for neural networks with time-varying delays [J].

Xie, Xiangjun ;

Ren, Zerong .

ISA TRANSACTIONS, 2014, 53 (04) :1000-1005

[30] Improved Delay-dependent Stability for Neural Networks with Mixed Time-varying Delays [J].

Zhang, Lei .

2013 25TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2013, :2136-2141

← 1 2 3 4 5 →