WSEAS Transactions on Applied and Theoretical Mechanics
Print ISSN: 1991-8747, E-ISSN: 2224-3429
Volume 14, 2019
Improved Delay-Dependent Robust Exponential Stability for Uncertain Linear Systems with Mixed Delays and Nonlinear Perturbations
Authors: ,
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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.
Keywords:
Delay-dependent, Robust exponential stability, Time-varying delay, Nonlinear perturbations, Linear matrix inequalities (LMIs)
Pages: 90-104
WSEAS Transactions on Applied and Theoretical Mechanics, ISSN / E-ISSN: 1991-8747 / 2224-3429, Volume 14, 2019, Art. #10