Stability Analysis for Linear Systems with Time-Varying Delay

Abstract:

This paper studies the problem of stability analysis for continuous-time delay systems. By introducing a free weighting parameter, combining a novel Lyapunov functional with the switching system method, a new delay-dependent sufficient stability condition is obtained in terms of a linear matrix inequality (LMI). It is shown that this new criterion can provide less conservative results than all existing ones. Numerical examples are given to illustrate the effectiveness and advantages of the proposed method.

• Periodical: Advanced Materials Research (Volumes 546-547)
• Pages: 886-891
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.546-547.886
• Online since: July 2012
• Authors: Li Hui Cheng, Zhan Lei Shang
• Keywords: Jensen’s Integral Inequality, Lyapunov Functional, Time-Varying Delay

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