Finite-Time Stability of Stochastic Cohen-Grossberg Neural Networks with Markovian Jumping Parameters and Distributed Time-Varying Delays

被引：10

作者：

Arslan, Emel ^{[1
]}

Ali, M. Syed ^{[2
]}

Saravanan, S. ^{[2
]}

机构：

[1] Istanbul Univ, Dept Comp Engn, Fac Engn, TR-34320 Istanbul, Turkey

[2] Thiruvalluvar Univ, Dept Math, Vellore 632115, Tamil Nadu, India

来源：

NEURAL PROCESSING LETTERS | 2017年 / 46卷 / 01期

关键词：

Finite-time stability; Cohen-Grossberg neural networks; Lyapunov-Krasovskii method; Stochastic; Time-varying delay; EXPONENTIAL STABILITY; STATE ESTIMATION; BOUNDEDNESS; STABILIZATION; SYSTEMS;

D O I：

10.1007/s11063-016-9574-2

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, the finite-time stability problem is considered for a class of stochastic Cohen-Grossberg neural networks (CGNNs) with Markovian jumping parameters and distributed time-varying delays. Based on Lyapunov-Krasovskii functional and stability analysis theory, a linear matrix inequality approach is developed to derive sufficient conditions for guaranteeing the stability of the concerned system. It is shown that the addressed stochastic CGNNs with Markovian jumping and distributed time varying delays are finite-time stable. An illustrative example is provided to show the effectiveness of the developed results.

引用

页码：71 / 81

页数：11

共 50 条

[1] Finite-Time Stability of Stochastic Cohen–Grossberg Neural Networks with Markovian Jumping Parameters and Distributed Time-Varying Delays
Emel Arslan
M. Syed Ali
S. Saravanan
Neural Processing Letters, 2017, 46 : 71 - 81
[2] Stochastic finite-time stability of reaction-diffusion Cohen-Grossberg neural networks with time-varying delays
Ali, M. Syed
Saravanan, S.
Palanisamy, L.
CHINESE JOURNAL OF PHYSICS, 2019, 57 : 314 - 328
[3] Global asymptotic stability of Markovian jumping stochastic Cohen-Grossberg BAM neural networks with discrete and distributed time-varying delays
Du, Yuanhua
Zhong, Shouming
Zhou, Nan
APPLIED MATHEMATICS AND COMPUTATION, 2014, 243 : 624 - 636
[4] Stability of Cohen-Grossberg neural networks with time-varying delays
Huang, Tingwen
Chan, Andrew
Huang, Yu
Cao, Jinde
NEURAL NETWORKS, 2007, 20 (08) : 868 - 873
[5] Stability in Lagrange sense for Cohen-Grossberg neural networks with time-varying delays and finite distributed delays
Wang, Baoxian
Jian, Jigui
Jiang, Minghui
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2010, 4 (01) : 65 - 78
[6] Robust stability of uncertain Markovian jumping Cohen-Grossberg neural networks with mixed time-varying delays
Sheng, Li
Yang, Huizhong
CHAOS SOLITONS & FRACTALS, 2009, 42 (04) : 2120 - 2128
[7] Stability analysis of Markovian jumping stochastic Cohen Grossberg neural networks with discrete and distributed time varying delays
Ali, M. Syed
CHINESE PHYSICS B, 2014, 23 (06)
[8] Stability analysis of Cohen-Grossberg neural networks with time-varying and distributed delays
Li, Tao
Fei, Shu-min
NEUROCOMPUTING, 2008, 71 (4-6) : 1069 - 1081
[9] Delay-dependent robust stability analysis for Markovian jumping stochastic Cohen-Grossberg neural networks with discrete interval and distributed time-varying delays
Balasubramaniam, P.
Rakkiyappan, R.
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2009, 3 (03) : 207 - 214
[10] Dynamic analysis of Markovian jumping impulsive stochastic Cohen-Grossberg neural networks with discrete interval and distributed time-varying delays
Rakkiyappan, R.
Balasubramaniam, P.
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2009, 3 (04) : 408 - 417

← 1 2 3 4 5 →