Stability and stabilization of switched linear discrete-time systems with interval time-varying delay
Stability and stabilization of switched linear discrete-time systems with interval time-varying delay
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DOI：
10.1016/j.nahs.2011.05.006
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发表时间：
2011-11-01
影响因子：
4.2
通讯作者：
Ratchagit, K.
中科院分区：
文献类型：
--
作者：
Phat, V. N.;Ratchagit, K.
研究了一类离散时滞切换系统的稳定性与镇定问题。所考虑的系统具有区间时变时滞，允许时滞是一个快时变函数，且下界不限于零。基于离散李雅普诺夫泛函，利用线性矩阵不等式设计了系统渐近稳定和镇定的切换规则。数值例子说明了结果的有效性。(c)2011爱思唯尔有限公司版权所有。
This paper deals with stability and stabilization of a class of switched discrete-time delay systems. The system to be considered is subject to interval time-varying delays, which allows the delay to be a fast time-varying function and the lower bound is not restricted to zero. Based on the discrete Lyapunov functional, a switching rule for the asymptotic stability and stabilization for the system is designed via linear matrix inequalities. Numerical examples are included to illustrate the effectiveness of the results. (c) 2011 Elsevier Ltd. All rights reserved.