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Exponential Stability for Delayed Stochastic Bidirectional Associative Memory Neural Networks with Markovian Jumping and Impulses

Authors:

S. M. AnthoniAuthors Info & Claims

Journal of Optimization Theory and Applications, Volume 150, Issue 1

Pages 166 - 187

https://doi.org/10.1007/s10957-011-9808-4

Published: 01 July 2011 Publication History

Abstract

In this paper, the problem of stability analysis for a class of delayed stochastic bidirectional associative memory neural network with Markovian jumping parameters and impulses are being investigated. The jumping parameters assumed here are continuous-time, discrete-state homogenous Markov chain and the delays are time-variant. Some novel criteria for exponential stability in the mean square are obtained by using a Lyapunov function, Ito's formula and linear matrix inequality optimization approach. The derived conditions are presented in terms of linear matrix inequalities. The estimate of the exponential convergence rate is also given, which depends on the system parameters and impulsive disturbed intension. In addition, a numerical example is given to show that the obtained result significantly improve the allowable upper bounds of delays over some existing results.

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Cited By

Sowmiya CRaja RCao JRavi GLi XAlsaedi ATu Z(2018)Global exponential stability of antiperiodic solutions for impulsive discrete‐time Markovian jumping stochastic BAM neural networks with additive time‐varying delays and leakage delayInternational Journal of Adaptive Control and Signal Processing10.1002/acs.287532:6(908-936)Online publication date: 13-Jun-2018
https://dl.acm.org/doi/10.1002/acs.2875
Meng ZXiang Z(2017)Stability analysis of stochastic memristor-based recurrent neural networks with mixed time-varying delaysNeural Computing and Applications10.1007/s00521-015-2146-y28:7(1787-1799)Online publication date: 1-Jul-2017
https://dl.acm.org/doi/10.1007/s00521-015-2146-y
Wang FYang YXu XLi L(2017)Global asymptotic stability of impulsive fractional-order BAM neural networks with time delayNeural Computing and Applications10.1007/s00521-015-2063-028:2(345-352)Online publication date: 1-Feb-2017
https://dl.acm.org/doi/10.1007/s00521-015-2063-0
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Exponential Stability for Delayed Stochastic Bidirectional Associative Memory Neural Networks with Markovian Jumping and Impulses

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Published In

cover image Journal of Optimization Theory and Applications

Journal of Optimization Theory and Applications Volume 150, Issue 1

July 2011

203 pages

ISSN:0022-3239

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Copyright © Copyright © 2011 Springer Science+Business Media, LLC.

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Plenum Press

United States

Publication History

Published: 01 July 2011

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Cited By

Sowmiya CRaja RCao JRavi GLi XAlsaedi ATu Z(2018)Global exponential stability of antiperiodic solutions for impulsive discrete‐time Markovian jumping stochastic BAM neural networks with additive time‐varying delays and leakage delayInternational Journal of Adaptive Control and Signal Processing10.1002/acs.287532:6(908-936)Online publication date: 13-Jun-2018
https://dl.acm.org/doi/10.1002/acs.2875
Meng ZXiang Z(2017)Stability analysis of stochastic memristor-based recurrent neural networks with mixed time-varying delaysNeural Computing and Applications10.1007/s00521-015-2146-y28:7(1787-1799)Online publication date: 1-Jul-2017
https://dl.acm.org/doi/10.1007/s00521-015-2146-y
Wang FYang YXu XLi L(2017)Global asymptotic stability of impulsive fractional-order BAM neural networks with time delayNeural Computing and Applications10.1007/s00521-015-2063-028:2(345-352)Online publication date: 1-Feb-2017
https://dl.acm.org/doi/10.1007/s00521-015-2063-0
Liu DWang LPan YMa H(2016)Mean square exponential stability for discrete-time stochastic fuzzy neural networks with mixed time-varying delayNeurocomputing10.1016/j.neucom.2015.06.045171:C(1622-1628)Online publication date: 1-Jan-2016
https://dl.acm.org/doi/10.1016/j.neucom.2015.06.045
Su HZhao YLi WDing X(2016)A graph-theoretic approach to exponential stability of stochastic BAM neural networks with time-varying delaysNeural Computing and Applications10.1007/s00521-015-2005-x27:7(2055-2063)Online publication date: 1-Oct-2016
https://dl.acm.org/doi/10.1007/s00521-015-2005-x
Yao DLiu MLi HMa H(2016)Robust Adaptive Sliding Mode Control for Nonlinear Uncertain Neutral Markovian Jump SystemsCircuits, Systems, and Signal Processing10.1007/s00034-015-0171-935:8(2741-2761)Online publication date: 1-Aug-2016
https://dl.acm.org/doi/10.1007/s00034-015-0171-9
Senan S(2015)Robustness analysis of uncertain dynamical neural networks with multiple time delaysNeural Networks10.1016/j.neunet.2015.07.00170:C(53-60)Online publication date: 1-Oct-2015
https://dl.acm.org/doi/10.1016/j.neunet.2015.07.001
Jian JJiang W(2015)Lagrange exponential stability for fuzzy Cohen-Grossberg neural networks with time-varying delaysFuzzy Sets and Systems10.1016/j.fss.2014.12.006277:C(65-80)Online publication date: 15-Oct-2015
https://dl.acm.org/doi/10.1016/j.fss.2014.12.006
Li JHu MGuo LYang YJin Y(2015)Stability of uncertain impulsive stochastic fuzzy neural networks with two additive time delays in the leakage termNeural Computing and Applications10.1007/s00521-014-1737-326:2(417-427)Online publication date: 1-Feb-2015
https://dl.acm.org/doi/10.1007/s00521-014-1737-3
Arunkumar ASakthivel RMathiyalagan KMarshal Anthoni S(2014)Robust state estimation for discrete-time BAM neural networks with time-varying delayNeurocomputing10.1016/j.neucom.2013.10.027131(171-178)Online publication date: 1-May-2014
https://dl.acm.org/doi/10.1016/j.neucom.2013.10.027
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