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New exponential stability criterion for neutral system with interval time-varying mixed delays and nonlinear uncertainties

Boonyachat Meesuptong, Kanit Mukdasai, Issaraporn Khonchaiyaphum

Abstract


This paper focuses on the exponential stability analysis of neutral system with interval time-varying discrete, neutral and distributed delays, and nonlinear uncertainties. The uncertainties under consideration are nonlinear time-varying parameter perturbations. Based on Jensen's integral inequality, Wirtinger-base integral inequality,Peng-Park's integral inequality, utilization of zero equation, mixed model transformation, Leibniz-Newton formula, decomposition matrix technique and the appropriate Lyapunov-Krasovskii functional (LKF), a new delay-range-dependent exponential stability criterion is constructed as linear matrix inequalities (LMIs) for considered system. Furthermore, we derive the improved delay-range-dependent exponential stability criterion of neutral system with discrete and neutral time-varying delays, and nonlinear uncertainties. Numerical examples are proposed to show the usefulness of our method.

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The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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|ISSN 1686-0209|