Improved Delay-Dependent Robust Exponential Stability for Uncertain Linear Systems with Mixed Delays and Nonlinear Perturbations

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Abstract: In this article, we discuss a class of delay-dependent robust stability analysis for uncertain linear systems with mixed delays and nonlinear perturbations. Based on Lyapunov-Krasovskii functional, combined with descriptor model transformation, Leibniz-Newton formula, integral inequalities, Wirtinger-based integral inequality, Peng-Park’s integral inequality and utilization of zero equation have been adopted to study. Improved delay-dependent robust stability criteria for uncertain time-delay systems are established in terms of linear matrix inequalities (LMIs). Finally, numerical examples suggest that the results given to illustrate the effectiveness and improvement over some existing methods.

WSEAS Transactions on Applied and Theoretical Mechanics, ISSN / E-ISSN: 1991-8747 / 2224-3429, Volume 14, 2019, Art. #10

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Akkharaphong Wongphat, Sirada Pinjai, "Improved Delay-Dependent Robust Exponential Stability for Uncertain Linear Systems with Mixed Delays and Nonlinear Perturbations," WSEAS Transactions on Applied and Theoretical Mechanics, vol. 14, pp. 90-104, 2019, DOI:
Akkharaphong Wongphat, Sirada Pinjai. Improved Delay-Dependent Robust Exponential Stability for Uncertain Linear Systems with Mixed Delays and Nonlinear Perturbations. WSEAS Transactions on Applied and Theoretical Mechanics. 2019;14:90-104.
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