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2007 On Asymptotic Stabilizability of Discrete-time Linear Systems with Delayed Input
Lin Lin
Commun. Inf. Syst. 7(3): 227-264 (2007).

Abstract

This paper examines the asymptotic stabilizability of discrete-time linear systems with delayed input. By explicit construction of stabilizing feedback laws, it is shown that a stabilizable able and detectable linear system with an arbitrarily large delay in the input can be asymptotically stabilized by either linear state or output feedback as long as the open loop system is not exponentially unstable (i.e., all the open loop poles are on or inside the unit circle.) It is further shown that such a system, when subject to actuator saturation, is semi-globally asymptotically stabilizable by linear state or output feedback.

Citation

Download Citation

Lin Lin. "On Asymptotic Stabilizability of Discrete-time Linear Systems with Delayed Input." Commun. Inf. Syst. 7 (3) 227 - 264, 2007.

Information

Published: 2007
First available in Project Euclid: 28 January 2008

zbMATH: 1141.93053
MathSciNet: MR2516242

Keywords: Linear systems , low gain feedback , stabilization , time delay

Rights: Copyright © 2007 International Press of Boston

Vol.7 • No. 3 • 2007
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