Stability of stochastic Markovian jump neural networks with mode-dependent delays

被引：39
|
作者：
Ma, Qian [1 ]
Xu, Shengyuan [1 ]
Zou, Yun [1 ]
Lu, Jinjun [2 ]
机构：
[1] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Peoples R China
[2] Nantong Univ, Sch Elect Engn, Nan tong 229019, Peoples R China
来源：
NEUROCOMPUTING | 2011年 / 74卷 / 12-13期
关键词：
Asymptotic stability; Stochastic neural networks; Markovian jumping parameters; Mixed mode-dependent delays; MIXED TIME DELAYS; ROBUST EXPONENTIAL STABILITY; ASYMPTOTIC STABILITY; VARYING DELAYS; PARAMETERS; SYSTEMS; CRITERIA;
D O I：
10.1016/j.neucom.2011.01.016
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 problem of stability analysis for a general class of uncertain stochastic neural networks with Markovian jumping parameters and mixed mode-dependent delays is considered. By the use of a new Markovian switching Lyapunov-Krasovskii functional, delay-dependent conditions on mean square asymptotic stability are derived in terms of linear matrix inequalities. Numerical examples are given to illustrate the effectiveness of the proposed approach. (C) 2011 Published by Elsevier B.V.
引用
收藏
页码：2157 / 2163
页数：7
相关论文
共 50 条
  • [1] Stochastic stability of mode-dependent Markovian jump inertial neural networks
    Krishnasamy, R.
    George, Raju K.
    [J]. JOURNAL OF ANALYSIS, 2019, 27 (01): : 179 - 196
  • [2] Stochastic stability of mode-dependent Markovian jump inertial neural networks
    R. Krishnasamy
    Raju K. George
    [J]. The Journal of Analysis, 2019, 27 : 179 - 196
  • [3] Mode-dependent delays for dissipative filtering of stochastic semi-Markovian jump for neural networks
    Aslam, Muhammad Shamrooz
    Li, Qianmu
    Jun Hou
    Hua Qiulong
    [J]. ADVANCES IN CONTINUOUS AND DISCRETE MODELS, 2022, 2022 (01):
  • [4] Mode-dependent delays for dissipative filtering of stochastic semi-Markovian jump for neural networks
    Muhammad Shamrooz Aslam
    Qianmu Li
    Jun Hou
    Hua Qiulong
    [J]. Advances in Continuous and Discrete Models, 2022
  • [5] Stochastic stability of semi-Markovian jump systems with mode-dependent delays
    Li, Fanbiao
    Wu, Ligang
    Shi, Peng
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2014, 24 (18) : 3317 - 3330
  • [6] Stability of Markovian jump neural networks with mode-dependent delays and generally incomplete transition probability
    Jing Xie
    Yonggui Kao
    [J]. Neural Computing and Applications, 2015, 26 : 1537 - 1553
  • [7] Stability of Markovian jump neural networks with mode-dependent delays and generally incomplete transition probability
    Xie, Jing
    Kao, Yonggui
    [J]. NEURAL COMPUTING & APPLICATIONS, 2015, 26 (07): : 1537 - 1553
  • [8] 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
  • [9] 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
  • [10] Stability analysis of stochastic Markovian switching static neural networks with asynchronous mode-dependent delays
    Tan, Huasheng
    Hua, Mingang
    Chen, Junfeng
    Fei, Juntao
    [J]. NEUROCOMPUTING, 2015, 151 : 864 - 872
12345