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TECHNICAL BRIEFS

Refined Stability Conditions for Linear Uncertain Systems With Multiple Time-Varying Delays

[+] Author and Article Information
Chih-Peng Huang

Department of Information Technology, Ling Tung University, No. 1, Ling-Tung Road, Taichung City, Taiwan 408, R.O.C.ponytony@seed.net.tw

J. Dyn. Sys., Meas., Control 129(1), 91-95 (Jun 08, 2006) (5 pages) doi:10.1115/1.2397157 History: Received July 22, 2005; Revised June 08, 2006

This paper mainly proposes distinct criteria for the stability analysis and stabilization of linear uncertain systems with time-varying delays. Based on the Lyapunov theorem, a sufficient condition of the unforced systems with single time-varying delay is first derived. By involving a memoryless state feedback controller, the condition will be extended to treat with the resulting closed-loop system. These explicit criteria can be reformulated in LMIs forms, so we will readily verify the stability or design a stabilizing controller by the current LMI solver. Furthermore, the considered systems with multiple time-varying delays are similarly addressed. Numerical examples are given to demonstrate that the proposed approach is effective and valid.

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Copyright © 2007 by American Society of Mechanical Engineers
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Grahic Jump Location
Figure 1

State responses of Example 5.1

Grahic Jump Location
Figure 2

State responses of Example 5.2

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