Novel Results for Global Exponential Stability of Uncertain Systems with Interval Time-varying Delay

- Journal title : Journal of Electrical Engineering and Technology
- Volume 8, Issue 6, 2013, pp.1542-1550
- Publisher : The Korean Institute of Electrical Engineers
- DOI : 10.5370/JEET.2013.8.6.1542

Title & Authors

Novel Results for Global Exponential Stability of Uncertain Systems with Interval Time-varying Delay

Liu, Yajuan; Lee, Sang-Moon; Kwon, Oh-Min; Park, Ju H.;

Liu, Yajuan; Lee, Sang-Moon; Kwon, Oh-Min; Park, Ju H.;

Abstract

This paper presents new results on delay-dependent global exponential stability for uncertain linear systems with interval time-varying delay. Based on Lyapunov-Krasovskii functional approach, some novel delay-dependent stability criteria are derived in terms of linear matrix inequalities (LMIs) involving the minimum and maximum delay bounds. By using delay-partitioning method and the lower bound lemma, less conservative results are obtained with fewer decision variables than the existing ones. Numerical examples are given to illustrate the usefulness and effectiveness of the proposed method.

Keywords

Exponential stability;Uncertain linear system;Interval time-varying delays;Lyapunov method;

Language

English

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