Abstract
In this paper, the robust asymptotic stability and stabilization for a class of uncertain neutral system with time-varying delays are considered. Based on the Lyapunov-Krasovskii functional theory, some stability and stabilization criteria are derived. Delay-dependent and delay-independent criteria are proposed for the stability and stabilization of the considered systems. State and output feedbacks are considered to stabilize the uncertain neutral system. A linear matrix inequality approach and a genetic algorithm are used to solve the stability and stabilization problems. Finally, some numerical examples are shown to illustrate the use of the obtained results.
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The research reported here was supported by the National Science Council of Taiwan under Grant NSC 91-2213-E-214-016.
Communicated by C. T. Leondes
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Lien, C. Stability and Stabilization Criteria for a Class of Uncertain Neutral Systems with Time-Varying Delays. J Optim Theory Appl 124, 637–657 (2005). https://doi.org/10.1007/s10957-004-1178-8
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DOI: https://doi.org/10.1007/s10957-004-1178-8