4.5 Article

Global stabilizability of uncertain systems with time-varying delays via dynamic observer-based output feedback

Journal

LINEAR ALGEBRA AND ITS APPLICATIONS
Volume 353, Issue -, Pages 91-105

Publisher

ELSEVIER SCIENCE INC
DOI: 10.1016/S0024-3795(02)00292-6

Keywords

Lyapunov equation; stabilizability; output feedback; time-delay systems

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In this paper, the dynamic observer-based output feedback control for uncertain time-delay systems with time-varying delays is investigated. A delay-independent dynamic observer-based output feedback control is proposed such that the feedback-controlled system with time-varying delays is globally asymptotically stable if some mild conditions are met. An upper bound of arbitrary time-varying delays without destroying stability is also given such that the asymptotic stability is preserved. A numerical example is given to illustrate the use of our main results. (C) 2002 Elsevier Science Inc. All rights reserved.

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