Measures of Robustness for Uncertain Time-Delay Linear Systems

[+] Author and Article Information
Said Oucheriah

Department of Technology, College of Engineering and Engineering Technology, Northern Illinois University, DeKalb, IL 60115

J. Dyn. Sys., Meas., Control 117(4), 633-635 (Dec 01, 1995) (3 pages) doi:10.1115/1.2801124 History: Received July 20, 1995; Online December 03, 2007


Several delay-dependent criteria to test the stability of time-delay systems that were proposed require solving the Lyapunov matrix equation. This can be a troublesome task and often nontrivial. In this note, a delay-dependent sufficient condition that guarantees the robust stability of linear uncertain time-delay systems is presented. The stability test criterion derived in this paper is based on induced norms and matrix measures. The salient feature of the result obtained is its simplicity and ease in testing the robust stability of uncertain time-delay linear systems.

Copyright © 1995 by The American Society of Mechanical Engineers
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