Robust stability analysis for Markovian jumping interval neural networks with discrete and distributed time-varying delays |
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| Authors: | P. Balasubramaniam S. Lakshmanan A. Manivannan |
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| Affiliation: | 1. Research center for wind energy systems, Kunsan National University, Chonbuk 573-701, Republic of Korea;2. Department of Mathematics, Bharathiar University, Coimbatore, India;3. Department of Mathematics, Vellore Institute of Technology Chennai Campus, Chennai 600127, India;4. School of Mathematics, and Research Center for Complex Systems and Network Sciences, Southeast University, Nanjing 210096, China |
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| 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. |
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