线性时滞系统的时滞相关鲁棒稳定性新判据  

New delay-dependent robust stability criteria for linear systems with time-delay

作　　者：肖伸平[1] 吴敏[1] 

机构地区：[1]中南大学信息科学与工程学院

出　　处：《控制与决策》2008年第1期110-113,共4页Control and Decision

基　　金：高等学校博士学科点专项基金项目(20050533015);国家杰出青年基金项目(60425310)

摘　　要：讨论具有多个范数有界不确定的线性时滞系统的时滞相关鲁棒稳定性.利用Lyapunov-Krasovskii泛函方法,结合自由权矩阵思想,在Lyapunov-Krasovskii泛函的导数中恰当地引入一些自由矩阵,获得了基于线性矩阵不等式的时滞相关稳定充分条件.该条件较已有结论不仅形式简单,而且具有更小的保守性.The delay-dependent robust stability for the linear delayed systems with multi-norm bounded uncertainties is discussed. By using the Lyapunov-Krasovskii function method and following the free weighing matrix lines, a new delay-dependent stability sufficient condition is obtained by appropriately introducing some free matrices in the derivative of the Lyapunov-Krasovskii function. It is shown by comparison that the new criterion is both simpler and less conservative than the existing ones.

关 键 词：线性系统 时滞相关 渐近稳定 线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]