Parameter dependent stability and stabilization of uncertain time-delay systems
Parameter dependent stability and stabilization of uncertain time-delay systems
复制标题
DOI：
10.1109/tac.2003.811269
复制
发表时间：
2003-05
期刊：
影响因子：
--
通讯作者：
E. Fridman;U. Shaked
中科院分区：
文献类型：
--
作者：
E. Fridman;U. Shaked
提出了一种新的判定线性状态时滞系统渐近稳定性的鲁棒时滞相关稳定性判别法。系统的参数没有准确地给出。众所周知，它们居住在一个给定的多面体中。该检验为系统在不确定多面体上的稳定性提供了一个有效的充分条件。这个条件是参数相关的，因此它改进了以前使用单一Lyapunov-Krasovskii泛函得到的结果。稳定性检验可以很容易地扩展到通过状态反馈来提供鲁棒镇定的判据。
A new robust delay dependent stability test is introduced that determines the asymptotic stability of linear systems with state delays. The parameters of the system are not exactly given. They are known to reside in a given polytope. The test provides an efficient sufficient condition for the stability of the system over the uncertainty polytope. This condition is parameter dependent and it therefore improves previous results that were derived using a single Lyapunov-Krasovskii functional. The stability test is readily extended to provide a criterion for robust stabilization via state-feedback.