Almost sure exponential stability of neutral stochastic delayed cellular neural networks

被引：10

作者：

Zhou L. ^{[1
]}

Hu G. ^{[2
]}

机构：

[1] Science of Mathematics College, Tianjin Normal University

[2] Department of Automatic, University of Science and Technology Beijing

来源：

Journal of Control Theory and Applications | 2008年 / 6卷 / 2期

基金：

中国国家自然科学基金;

关键词：

Almost sure exponential stability; Brownian motion; Neutral stochastic delayed cellular neural networks;

D O I：

10.1007/s11768-008-7036-8

中图分类号：

学科分类号：

摘要：

In this paper, almost sure exponential stability of neutral delayed cellular neural networks which are in the noised environment is studied by decomposing the state space to sub-regions in view of the saturation linearity of output functions of neurons of the cellular neural networks. Some algebraic criteria are obtained and easily verified. Some examples are given to illustrate the correctness of the results obtained. © 2008 Editorial Board of Control Theory and Applications, South China University of Technology and Springer-Verlag GmbH.

引用

页码：195 / 200

页数：5

共 50 条

[41] Exponential Stability on a Class of Delayed Neural Networks of Neutral Type
Li Qiaoping
Li Wenlin
[J]. PROCEEDINGS OF THE 29TH CHINESE CONTROL CONFERENCE, 2010, : 2402 - 2406
[42] Mean square stability and almost sure exponential stability of two step Maruyama methods of stochastic delay Hopfield neural networks
Rathinasamy, A.
Narayanasamy, J.
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2019, 348 : 126 - 152
[43] Exponential Stability of Pseudo Almost Periodic Solutions for Neutral Type Cellular Neural Networks with D Operator
Xu, Yanli
[J]. NEURAL PROCESSING LETTERS, 2017, 46 (01) : 329 - 342
[44] Almost sure exponential stability of stochastic reaction diffusion systems
Luo, Qi
Zhang, Yutian
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (12) : E487 - E493
[45] Almost sure exponential stability of the θ-method for stochastic differential equations
Chen, Lin
Wu, Fuke
[J]. STATISTICS & PROBABILITY LETTERS, 2012, 82 (09) : 1669 - 1676
[46] Almost Sure Exponential Stability of Stochastic Differential Delay Equations
Zhang, Wei
Song, M. H.
Liu, M. Z.
[J]. FILOMAT, 2019, 33 (03) : 789 - 814
[47] A NOTE ON EXPONENTIAL ALMOST SURE STABILITY OF STOCHASTIC DIFFERENTIAL EQUATION
Mao, Xuerong
Song, Qingshuo
Yang, Dichuan
[J]. BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2014, 51 (01) : 221 - 227
[48] ALMOST SURE EXPONENTIAL STABILITY OF STOCHASTIC DIFFERENTIAL DELAY EQUATIONS
Guo, Qian
Mao, Xuerong
Yue, Rongxian
[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2016, 54 (04) : 1919 - 1933
[49] Exponential Stability of Pseudo Almost Periodic Solutions for Neutral Type Cellular Neural Networks with D Operator
Yanli Xu
[J]. Neural Processing Letters, 2017, 46 : 329 - 342
[50] Almost Sure Stability of Stochastic Neural Networks with Time Delays in the Leakage Terms
Song, Mingzhu
Zhu, Quanxin
Zhou, Hongwei
[J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2016, 2016

← 1 2 3 4 5 →