<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>The paper is concerned with stability analysis for a class of impulsive Hopfield neural networks with Markovian jumping parameters and time-varying delays. The jumping parameters considered here are generated from a continuous-time discrete-state homogenous Markov process. By employing a Lyapunov functional approach, new delay-dependent stochastic stability criteria are obtained in terms of linear matrix inequalities (LMIs). The proposed criteria can be easily checked by using some standard numerical packages such as the Matlab LMI Toolbox. A numerical example is provided to show that the proposed results significantly improve the allowable upper bounds of delays over some results existing in the literature.</p></abstract>

The paper is concerned with stability analysis for a class of impulsive Hopfield neural networks with Markovian jumping parameters and time-varying delays. The jumping parameters considered here are generated from a continuous-time discrete-state homogenous Markov process. By employing a Lyapunov functional approach, new delay-dependent stochastic stability criteria are obtained in terms of linear matrix inequalities (LMIs). The proposed criteria can be easily checked by using some standard numerical packages such as the Matlab LMI Toolbox. A numerical example is provided to show that the proposed results significantly improve the allowable upper bounds of delays over some results existing in the literature.

Stability of impulsive Hopfield neural networks with Markovian switching and time-varying delays

Department of Mathematics, Periyar University, Salem 636 011, India

Department of Mathematics, Sungkyunkwan University, Suwon 440-746, South Korea

Department of Mathematics, Anna University of Technology, Coimbatore 641 047, India

International Journal of Applied Mathematics and Computer Science

The paper is concerned with stability analysis for a class of impulsive Hopfield neural networks with Markovian jumping parameters and time-varying delays. The...

Stability of impulsive Hopfield neural networks with Markovian switching and time-varying delays

Published Online: Mar 28, 2011

Page range: 127 - 135

DOI: https://doi.org/10.2478/v10006-011-0009-y

Keywords
Hopfield neural networks, Markovian jumping, stochastic stability, Lyapunov function, impulses

This content is open access.

Stability of impulsive Hopfield neural networks with Markovian switching and time-varying delays

Published Online: Mar 28, 2011

Page range: 127 - 135

DOI: https://doi.org/10.2478/v10006-011-0009-y

KeywordsHopfield neural networks, Markovian jumping, stochastic stability, Lyapunov function, impulses

This content is open access.

Keywords
Hopfield neural networks, Markovian jumping, stochastic stability, Lyapunov function, impulses