4.7 Article

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

Journal

CHAOS SOLITONS & FRACTALS
Volume 45, Issue 4, Pages 483-495

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2012.01.011

Keywords

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Funding

  1. Department of Science and Technology, New Delhi India [SR/S4/MS:485/07]

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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. (C) 2012 Elsevier Ltd. All rights reserved.

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