Robust stability analysis for Markovian jumping interval neural networks with discrete and distributed time-varying delays

P. Balasubramaniam, S. Lakshmanan and A. Manivannan

Chaos, Solitons & Fractals, 2012, vol. 45, issue 4, 483-495

Abstract: This paper investigates robust stability analysis for Markovian jumping interval neural networks with discrete and distributed time-varying delays. The parameter uncertainties are assumed to be bounded in given compact sets. The delay is assumed to be time-varying and belong to a given interval, which means that the lower and upper bounds of interval time-varying delays are available. Based on the new Lyapunov–Krasovskii functional (LKF), some inequality techniques and stochastic stability theory, new delay-dependent stability criteria have been obtained in terms of linear matrix inequalities (LMIs). Finally, two numerical examples are given to illustrate the less conservative and effectiveness of our theoretical results.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:45:y:2012:i:4:p:483-495

DOI: 10.1016/j.chaos.2012.01.011

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