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
收藏
页码：103 / 116
页数：14
相关论文
共 50 条
  • [1] Mode-Dependent Stochastic Synchronization for Markovian Coupled Neural Networks With Time-Varying Mode-Delays
    Zhang, Huaguang
    Wang, Junyi
    Wang, Zhanshan
    Liang, Hongjing
    IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2015, 26 (11) : 2621 - 2634
  • [2] Mode-Dependent Filtering for Stochastic Markovian Switching Genetic Regulatory Networks with Leakage and Time-Varying Delays
    Revathi, V. M.
    Balasubramaniam, P.
    Ratnavelu, K.
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2014, 33 (11) : 3349 - 3388
  • [3] Exponential Stability for Markovian Jumping Stochastic BAM Neural Networks with Mode-Dependent Probabilistic Time-Varying Delays and Impulse Control
    Rakkiyappan, R.
    Chandrasekar, A.
    Lakshmanan, S.
    Park, Ju H.
    COMPLEXITY, 2015, 20 (03) : 39 - 65
  • [4] Stability of stochastic Markovian jump neural networks with mode-dependent delays
    Ma, Qian
    Xu, Shengyuan
    Zou, Yun
    Lu, Jinjun
    NEUROCOMPUTING, 2011, 74 (12-13) : 2157 - 2163
  • [5] Stability analysis of stochastic Markovian switching static neural networks with asynchronous mode-dependent delays
    Tan, Huasheng
    Hua, Mingang
    Chen, Junfeng
    Fei, Juntao
    NEUROCOMPUTING, 2015, 151 : 864 - 872
  • [6] H∞ Filtering for Markovian Switching System with Mode-Dependent Time-Varying Delays
    P. Balasubramaniam
    V. M. Revathi
    Circuits, Systems, and Signal Processing, 2014, 33 : 347 - 369
  • [7] Robust stability of uncertain Markovian jump neural networks with mode-dependent time-varying delays and nonlinear perturbations
    Jiaojiao Ren
    Hong Zhu
    Shouming Zhong
    Xia Zhou
    Advances in Difference Equations, 2016
  • [8] H∞ Filtering for Markovian Switching System with Mode-Dependent Time-Varying Delays
    Balasubramaniam, P.
    Revathi, V. M.
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2014, 33 (02) : 347 - 369
  • [9] Robust stability of uncertain Markovian jump neural networks with mode-dependent time-varying delays and nonlinear perturbations
    Ren, Jiaojiao
    Zhu, Hong
    Zhong, Shouming
    Zhou, Xia
    ADVANCES IN DIFFERENCE EQUATIONS, 2016,
  • [10] Exponential stability of Markovian jumping stochastic Cohen-Grossberg neural networks with mode-dependent probabilistic time-varying delays and impulses
    Rakkiyappan, R.
    Chandrasekar, A.
    Lakshmanan, S.
    Park, Ju H.
    NEUROCOMPUTING, 2014, 131 : 265 - 277
12345