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2013 Memory State-Feedback Stabilization for a Class of Time-Delay Systems with a Type of Adaptive Strategy
Lin Chai, Shumin Fei
J. Appl. Math. 2013(SI06): 1-8 (2013). DOI: 10.1155/2013/319415

Abstract

Stabilization of a class of systems with time delay is studied using adaptive control. With the help of the “error to error” technique and the separated “descriptor form” technique, the memory state-feedback controller is designed. The adaptive controller designed can guarantee asymptotical stability of the closed-loop system via a suitable Lyapunov-Krasovskii functional. Some sufficient conditions are derived for the stabilization together with the linear matrix inequality (LMI) design approach. Finally, the effectiveness of the proposed control design methodology is demonstrated in numerical simulations.

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Lin Chai. Shumin Fei. "Memory State-Feedback Stabilization for a Class of Time-Delay Systems with a Type of Adaptive Strategy." J. Appl. Math. 2013 (SI06) 1 - 8, 2013. https://doi.org/10.1155/2013/319415

Information

Published: 2013
First available in Project Euclid: 7 May 2014

zbMATH: 1271.93086
MathSciNet: MR3074325
Digital Object Identifier: 10.1155/2013/319415

Rights: Copyright © 2013 Hindawi

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Vol.2013 • No. SI06 • 2013
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