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

• Autorzy: Ramachandran Raja , Rathinasamy Sakthivel , Selvaraj Marshal Anthoni , Hyunsoo Kim
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Hopfield neural networks; Markovian jumping; stochastic stability; Lyapunov function; impulses

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2011
• Tom: 21
• Numer: 1
• Strony: 127-135

Daty

wydano

2011

otrzymano

2010-03-08

poprawiono

2010-09-07

Twórcy

autor

Ramachandran Raja

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

autor

Rathinasamy Sakthivel

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

autor

Selvaraj Marshal Anthoni

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

autor

Hyunsoo Kim

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

Bibliografia

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Identyfikatory

DOI

10.2478/v10006-011-0009-y