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New Results on Delay-Interval-Dependent Robust Exponential Stability for Uncertain Neutral-Type Systems with Mixed Time-Varying Delays and Nonlinear Perturbations

Nayika Samorn, Kanit Mukdasai, Prem Junsawang, Sirada Pinjai

Abstract


The design problem of delay-interval-dependent robust exponential stability for uncertain neutral-type system with distributed and discrete time-varying delays, and nonlinear perturbations was studied. We concentrated on norm-bounded uncertainties and nonlinear time-varying parameter perturbations. By using mixed model transformation, Peng-Park's integral inequality, Wirtinger-based integral inequality, and proper Lyapunov-Krasovskii functional, new delay-inteval-dependent robust exponential stability criterion was received and formulated in the form of linear matrix inequalities (LMIs). Moreover, exponential stability criterion was also suggested for a neutral-type system with distributed and discrete time-varying delays, and nonlinear perturbations. Finally, numerical examples showed that the recommended approach achieves the expected results and the predominance of our results to those in the literature.

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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|