Improved Delay-Dependent Stability Criterion on Neural Networks with Time-Varying Delay

被引：1

作者：

Zhang, Haitao ^{[1
]}

Wang, Ting ^{[1
]}

Fei, Shumin ^{[1
]}

Li, Tao ^{[2
]}

机构：

[1] Southeast Univ, Sch Automat, Minist Educ, Key Lab Measurement & Control CSE, Nanjing 210096, Peoples R China

[2] Henan Polytech Univ, Sch Elect Engn & Automat, Jiaozuo 454003, Henan, Peoples R China

来源：

2010 8TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA) | 2010年

关键词：

Delayed neural networks (DNNs); asymptotical stability; Lyapunov-Krasovskii functional (LKF); time-varying delay; LMI technique; GLOBAL ASYMPTOTIC STABILITY; EXPONENTIAL STABILITY; DISTRIBUTED DELAYS; DISCRETE; SYSTEMS;

D O I：

10.1109/WCICA.2010.5554390

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, based on Lyapunov-Krasovskii functional approach and proper integral inequality, one novel sufficient condition is derived to guarantee the global stability for neural networks with interval time-varying delay, in which the general convex combination is employed. The LMI-based criterion heavily depends on the upper and lower bounds on both time delay and its derivative, which is different from those existent ones and has wider application fields than some present results. Finally, two numerical examples can illustrate the less conservatism of the proposed methods.

引用

页码：2080 / 2084

页数：5

共 50 条

[41] Delay-Dependent Stability of Neural Networks with Time-Varying Delays
Xiong, Jing-Jing
Zhang, Guobao
PROCEEDINGS OF THE 36TH CHINESE CONTROL CONFERENCE (CCC 2017), 2017, : 4024 - 4028
[42] Delay-dependent exponential stability for uncertain neutral stochastic neural networks with interval time-varying delay
Chen, Huabin
Zhao, Yang
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2015, 46 (14) : 2584 - 2597
[43] Delay-dependent state estimation for neural networks with time-varying delay
Yu, Hui-Jun
He, Yong
Wu, Min
NEUROCOMPUTING, 2018, 275 : 881 - 887
[44] Improved delay-dependent stability analysis for uncertain stochastic Hopfield neural networks with time-varying delays
Chen, Y.
Xue, A.
Zhao, X.
Zhou, S.
IET CONTROL THEORY AND APPLICATIONS, 2009, 3 (01) : 88 - 97
[45] A Delay-dependent Stability Criterion for A Class of Systems With Time-varying Delay
Jiang, Xiefu
Yang, Shuai
PROCEEDINGS OF THE 28TH CHINESE CONTROL AND DECISION CONFERENCE (2016 CCDC), 2016, : 2296 - 2299
[46] New Delay-Dependent Exponential Stability Criteria for Neural Networks with Mixed Time-Varying Delays
Wen, Wu
Shi, Kaibo
MATHEMATICAL PROBLEMS IN ENGINEERING, 2015, 2015
[47] Improved Delay-Dependent Stability Condition of Discrete Recurrent Neural Networks With Time-Varying Delays
Wu, Zhengguang
Su, Hongye
Chu, Jian
Zhou, Wuneng
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2010, 21 (04): : 692 - 697
[48] Robust Delay-Dependent Passivity Analysis for Neural Networks with Interval Time-Varying Delay
Xiao, Shen-Ping
Lian, Hong-Hai
Zeng, Hong-Bing
Chen, Gang
Zhang, Xiao-Hu
2018 IEEE 15TH INTERNATIONAL CONFERENCE ON NETWORKING, SENSING AND CONTROL (ICNSC), 2018,
[49] DELAY-DEPENDENT STABILITY CRITERION FOR BIDIRECTIONAL ASSOCIATIVE MEMORY NEURAL NETWORKS WITH INTERVAL TIME-VARYING DELAYS
Park, Ju H.
Kwon, O. M.
MODERN PHYSICS LETTERS B, 2009, 23 (01): : 35 - 46
[50] Improved delay-dependent stability conditions for discrete-time neural networks with time-varying delays
Bo, Xiaoting
Sun, Yanyan
Duan, Wenyong
INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL, 2023, 12 (4) : 1034 - 1043

← 1 2 3 4 5 →