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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January 2007
Technical Briefs
Refined Stability Conditions for Linear Uncertain Systems With Multiple Time-Varying Delays
Chih-Peng Huang
Chih-Peng Huang
Department of Information Technology,
e-mail: ponytony@seed.net.tw
Ling Tung University
, No. 1, Ling-Tung Road, Taichung City, Taiwan 408, R.O.C.
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Chih-Peng Huang
Department of Information Technology,
Ling Tung University
, No. 1, Ling-Tung Road, Taichung City, Taiwan 408, R.O.C.e-mail: ponytony@seed.net.tw
J. Dyn. Sys., Meas., Control. Jan 2007, 129(1): 91-95 (5 pages)
Published Online: June 8, 2006
Article history
Received:
July 22, 2005
Revised:
June 8, 2006
Citation
Huang, C. (June 8, 2006). "Refined Stability Conditions for Linear Uncertain Systems With Multiple Time-Varying Delays." ASME. J. Dyn. Sys., Meas., Control. January 2007; 129(1): 91–95. https://doi.org/10.1115/1.2397157
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