New criterion for finite-time stability of linear discrete-time systems with time-varying delay

作者:Zuo Zhiqiang*; Li Hongchao; Wang Yijing
来源:Journal of the Franklin Institute, 2013, 350(9): 2745-2756.
DOI:10.1016/j.jfranklin.2013.06.017

摘要

This paper is concerned with the problem of finite-time stability analysis of linear discrete-time systems with time-varying delay. The time-varying delay has lower and upper bounds. By choosing a novel Lyapunov-Krasovskii-like functional, a new sufficient condition is derived to guarantee that the state of the system with time-varying delay does not exceed a given threshold during a fixed time interval. Then, the corresponding corollary is developed for the case of constant time delay. Numerical examples are provided to demonstrate the effectiveness and merits of the proposed method.

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