期刊名称：International Journal of Computer Science Issues
印刷版ISSN：1694-0784
电子版ISSN：1694-0814
出版年度：2013
卷号：10
期号：2
出版社：IJCSI Press
摘要：In this paper, we consider the problem of robust delay-dependent stability for a class of linear systems with interval time-varying delay and nonlinear perturbations. Less conservative robust stability criteria was put forward by using Lyapunov-Krasovskii functional approach and LMI technique. Firstly, the delay interval is partitioned into two subintervals of equal length at the delay-central point and designing new LyapunovCKrasovskii functional for each subinterval. Secondly, the time derivative of a candidate Lyapunov-Krasovskii functional is evaluated in each of these delay segments. Unlike existing methodologies, we using a more tighter integral inequality for dealing the cross-terms that emerge from the time derivative of the Lyapunov-Krasovskii functional and introduce some free weighting matrices for further reduce the conservative. Lastly, based on convex combination technique, a new delay-dependent stability criteria for the system is formulated in terms of linear matrix inequalities (LMIs).Numerical examples are given to show the effectiveness of the proposed approach.
关键词：Lyapunov;Krasovskii (L;K) functional; Robust stability; Interval time;delay; Integral Inequality; Linear matrix inequality (LMI)
