区间时变时滞离散系统的时滞分布相关稳定性判据

Nan Xiao, Y. Jia, F. Matsuno
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引用次数: 2

摘要

研究了具有区间时变时滞的离散系统的稳定性问题。通过将时滞区间划分为两个子区间,利用Lyapunov稳定性理论和互凸引理,得到了时滞相关的指数稳定性判据。进一步,在时变时滞分布已知的条件下,允许Lyapunov泛函在一子区间内时变时滞值的差值有正上界,得到了一个新的与时滞分布相关的稳定性判据。将所得结果推广到不确定时变时滞系统的鲁棒时滞分布相关稳定性问题。所有得到的判据都是用线性矩阵不等式(lmi)来表示的。最后给出了一个数值算例,验证了该方法的有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Delay distribution dependent stability criteria for discrete-time systems with interval time-varying delay
This paper studies the stability problem for discrete-time systems with interval time-varying delay. By dividing delay interval into two subintervals, a delay-dependent exponential stability criterion is obtained based on Lyapunov stability theory and reciprocally convex lemma. Furthermore, by assuming that the distribution of time-varying delay is known, the difference of Lyapunov functional is allowed to have positive upper bound for the value of time-varying delay in one subinterval, and a new delay distribution dependent stability criterion is obtained. The obtained result is also extended to cope with the robust delay distribution dependent stability problem for uncertain time-varying delay systems. All the obtained criteria are presented in terms of Linear Matrix Inequalities (LMIs). Finally one numerical example is given to show the effectiveness of the proposed method.
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