Stability Analysis and Design of Impulsive Control Systems With Time Delay

Stability Analysis and Design of Impulsive Control Systems With Time Delay
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DOI:
10.1109/tac.2007.902748
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发表时间:
2007-08
影响因子:
6.8
通讯作者:
Zhichun Yang;Daoyi Xu
Zhichun Yang;Daoyi Xu
中科院分区:
计算机科学2区
文献类型:
--
作者:
Zhichun Yang;Daoyi Xu

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考虑一类具有时变延迟的脉冲控制系统。通过建立脉冲时滞微分不等式,我们分析了脉冲时滞系统的全局指数稳定性并估计了指数收敛速度。在此分析的基础上,提出了脉冲控制器的设计流程。所设计的脉冲控制器不仅能够全局指数稳定时滞系统,而且能够控制系统的指数收敛速度。给出了两个数值例子来说明该方法的有效性。
A class of impulsive control systems with time-varying delays is considered. By establishing an impulsive delay differential inequality, we analyze the global exponential stability of the impulsive delay systems and estimate the exponential convergence rate. On the basis of the analysis, a design procedure of impulsive controller is presented. The designed impulsive controller not only can globally exponentially stabilize the time delay systems, but also can control the exponential convergence rate of the systems. Two numerical examples are given to illustrate the effectiveness of the method.