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

Raja, R. ; Sakthivel, R. ; Anthoni, S. M. ; Kim, H.

International Journal of Applied Mathematics and Computer Science, Tome 21 (2011) no. 1, pp. 127-135.

Résumé

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 theMatlab 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.

Détail

Keywords: Hopfield neural networks, Markovian jumping, stochastic stability, Lyapunov function, impulses
Mots-clés : sieć neuronowa, stateczność stochastyczna, funkcja Lapunowa

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