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滞后动态系统广义指数稳定的充要条件
引用本文:胥布工.滞后动态系统广义指数稳定的充要条件[J].控制理论与应用,1999,16(6):802-806.
作者姓名:胥布工
作者单位:华南理工大学自动控制工程系,广州,510640
基金项目:NSFC,Guangdong Provincial Natural Science Foundation of China,SEDC Outstanding Young Teacher Foundation of China,69674026,960293,,,,
摘    要:本语文针对一般的滞后动态系统建立了广义指数稳定性的充分和必要条件,并由所建立的充要条件得出了系统过渡过程的时变指数衰减估计,作为所建结果的应用,基于矩阵工给出了一类滞后动态系统过渡过程的相应指数衰减估计,本文揭示了所建衰减估计可好于那些仅基于充分稳定性条件所得的估计。

关 键 词:滞后动态系统  广义指数稳定性  充要条件
收稿时间:1997/8/25 0:00:00
修稿时间:1/8/1999 12:00:00 AM

Necessary and Sufficient Conditions of Generalized Exponential Stability for Retarded Dynamic Systems
Xu Bugong.Necessary and Sufficient Conditions of Generalized Exponential Stability for Retarded Dynamic Systems[J].Control Theory & Applications,1999,16(6):802-806.
Authors:Xu Bugong
Abstract:In this paper, the necessary and sufficient conditions of generalized exponential stability for general type of retarded dynamic systems are established. The exponential decay estimates on the transient responses for the systems are presented. A generalized exponential stability result with respect to a time-varying decay degree for a special class of retarded dynamic systems is also presented based on the matrix measures as the application of the established conditions. It is revealed that the established estimates can be less conservative than those obtained only by using the sufficient stability conditions in the literature.
Keywords:retarded dynamic systems  generalized exponential stability  necessary and sufficient conditions
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