Novel Approach to Robust Stability Criteria of Uncertain System with Time-Varying Delay

Abstract:

This paper considers the robust stability criteria of uncertain system with time-varying delay. Firstly, by exploiting a new Lyapunov function that optimizes the segment of time delay and using the convexity property and free-weight method of the Linear Matrix Inequality, delay-dependent stability condition can be obtained for the asymptotical stability of the nominal system. Secondly, basing on the obtained condition, the corresponding linear matrix inequality can be obtained for the uncertain system. Finally, an example is given to demostrate the effectiveness and the merit of the proposed method.

• Periodical: Advanced Materials Research (Volumes 631-632)
• Pages: 1189-1194
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.631-632.1189
• Online since: January 2013
• Authors: Chao Deng, Zhao Di Xu, Yu Bai, Xin Yuan Wang
• Keywords: Linear Matrix Inequality (LMI), Optimization Delay Segment, Time-Varying Delay

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