NEW RESULTS ON STABILITY OF STOCHASTIC NEURAL NETWORKS WITH MARKOVIAN SWITCHING AND MODE-DEPENDENT TIME-VARYING DELAYS

被引：1

作者：

Li, Peijuan ^{[1
,2
]}

Wang, Yueying ^{[3
]}

Zhou, Pingfang ^{[3
]}

Wang, Quanbao ^{[3
]}

Duan, Dengping ^{[3
]}

机构：

[1] Southeast Univ, Sch Instrument Sci & Engn, Nanjing 210096, Jiangsu, Peoples R China

[2] Southeast Univ, Key Lab Microinertial Instrument & Adv Nav Techno, Minist Educ, Nanjing 210096, Jiangsu, Peoples R China

[3] Shanghai Jiao Tong Univ, Sch Aeronaut & Astronaut, Shanghai 200240, Peoples R China

来源：

NEURAL NETWORK WORLD | 2014年 / 24卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Lyapunov-Krasovskii functional; Markovian switching; mode-dependent time delays; neural networks; stochastic systems; ROBUST EXPONENTIAL STABILITY; JUMPING PARAMETERS; ASYMPTOTIC STABILITY; NEUTRAL TYPE; MEAN-SQUARE; DISCRETE; CRITERIA; STABILIZATION;

D O I：

10.14311/NNW.2014.24.006

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 exponential stability for a class of stochastic neural networks with Markovian switching and mode-dependent interval time-varying delays. A novel Lyapunov-Krasovskii functional is introduced with the idea of delay-partitioning, and a new exponential stability criterion is derived based on the new functional and free-weighting matrix method. This new criterion proves to be less conservative than the most existing results. Numerical examples are presented to illustrate the effectiveness of the proposed method.

引用

页码：103 / 116

页数：14

共 50 条

[21] Robust stability analysis for Markovian jumping stochastic neural networks with mode-dependent time-varying interval delay and multiplicative noise
张化光
浮洁
马铁东
佟绍成
[J]. Chinese Physics B, 2009, 18 (08) : 3325 - 3336
[22] Robust stability analysis for Markovian jumping stochastic neural networks with mode-dependent time-varying interval delay and multiplicative noise
Zhang Hua-Guang
Fu Jie
Ma Tie-Dong
Tong Shao-Cheng
[J]. CHINESE PHYSICS B, 2009, 18 (08) : 3325 - 3336
[23] Stochastic asymptotic stability of Markovian jumping neural networks with Markov mode estimation and mode-dependent delays
Liu, Yan
[J]. PHYSICS LETTERS A, 2009, 373 (41) : 3741 - 3742
[24] Mode-dependent stochastic stability criteria of fuzzy Markovian jumping neural networks with mixed delays
Zheng, Cheng-De
Zhang, Xiaoyu
Wang, Zhanshan
[J]. ISA TRANSACTIONS, 2015, 56 : 8 - 17
[25] Stochastic stability criteria with LMI conditions for Markovian jumping impulsive BAM neural networks with mode-dependent time-varying delays and nonlinear reaction-diffusion
Rao, Ruofeng
Zhong, Shouming
Wang, Xiongrui
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2014, 19 (01) : 258 - 273
[26] Further Results on Exponential Estimates of Markovian Jump Systems With Mode-Dependent Time-Varying Delays
Gao, Huijun
Fei, Zhongyang
Lam, James
Du, Baozhu
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2011, 56 (01) : 223 - 229
[27] On Stabilization of Stochastic Cohen-Grossberg Neural Networks With Mode-Dependent Mixed Time-Delays and Markovian Switching
Zheng, Cheng-De
Shan, Qi-He
Zhang, Huaguang
Wang, Zhanshan
[J]. IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2013, 24 (05) : 800 - 811
[28] Sliding mode control for nonlinear stochastic systems with Markovian jumping parameters and mode-dependent time-varying delays
Dongbing Tong
Cong Xu
Qiaoyu Chen
Wuneng Zhou
Yuhua Xu
[J]. Nonlinear Dynamics, 2020, 100 : 1343 - 1358
[29] Sliding mode control for nonlinear stochastic systems with Markovian jumping parameters and mode-dependent time-varying delays
Tong, Dongbing
Xu, Cong
Chen, Qiaoyu
Zhou, Wuneng
Xu, Yuhua
[J]. NONLINEAR DYNAMICS, 2020, 100 (02) : 1343 - 1358
[30] Asymptotic stability of Markovian switching genetic regulatory networks with leakage and mode-dependent time delays
Ratnavelu, K.
Kalpana, M.
Balasubramaniam, P.
[J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2016, 353 (07): : 1615 - 1638

← 1 2 3 4 5 →