Stability and Stabilization Criteria for a Class of Uncertain Neutral Systems with Time-Varying Delays

C.H. Lien
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C.H. Lien: I-Shou University

Journal of Optimization Theory and Applications, 2005, vol. 124, issue 3, No 6, 637-657

Abstract: 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.

Keywords: Asymptotic stability; stabilization; uncertain time-delay system; linear matrix inequalities; genetic algorithms (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (6)

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DOI: 10.1007/s10957-004-1178-8

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