摘要
对于一类子系统为离散时滞系统的切换系统,研究渐近稳定性条件和切换信号的选取方法.根据李亚普诺夫稳定性理论,推出以线性矩阵不等式表示的在任意切换信号作用下系统渐近稳定的两个充分性条件,在此基础上进一步给出了系统渐近稳定的凸组合条件和切换信号的选取方法.仿真实例验证了所设计的切换方案的有效性.
The asymptotic stability and the switching strate gy are studied in this paper for discrete switched systems with time delay subsys tems. Based on Lyapunov stability theory, two different sufficient conditions ar e derived via LMI approach for the asymptotic stability under arbitrary switchin g. Furthermore, this paper develops the convex combination conditions for asympt otic stability of such systems and gives the way to choose switching strategy. T he simulation result proves the validity of the designed switching strategy.
出处
《信息与控制》
CSCD
北大核心
2005年第3期381-384,共4页
Information and Control
关键词
切换系统
时滞
线性矩阵不等式
稳定性
switched system
time delay
linear matrix inequality( LMI)
stability
