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滞后广义系统的渐近稳定与镇定
引用本文:梁家荣.滞后广义系统的渐近稳定与镇定[J].系统工程与电子技术,2001,23(2):62-64.
作者姓名:梁家荣
作者单位:广西大学计算机与信息工程学院,
基金项目:广西自然科学基金(0009007)和广西教育厅自然科学基金(桂教169)资助课题
摘    要:广义系统的渐近稳定与镇定问题是广义系统理论的基本问题之一,在许多领域均有应用,时滞广义系统的研究与无时滞广义系统相比要困难得多。利用广义Lyapunov泛函方法研究了具滞后的广义系统的渐近稳定性和镇定问题,给出了渐近稳定判定定理,设计了适当的反馈律,以实现滞后广义系统的镇定,方法简单,直观,易于理解,给出的例子说明了该定理的可行性。

关 键 词:稳定性  时滞理论  控制系统
文章编号:1001-506X(2001)02-0062-03
修稿时间:2000年4月24日

The Asymptotic Stability and Stabilization for Singular Systems With Time-Delay
Liang Jiarong School of Computer and Information,Guangxi University,Nanning.The Asymptotic Stability and Stabilization for Singular Systems With Time-Delay[J].System Engineering and Electronics,2001,23(2):62-64.
Authors:Liang Jiarong School of Computer and Information  Guangxi University  Nanning
Institution:Liang Jiarong School of Computer and Information,Guangxi University,Nanning 530004
Abstract:The asymptotic stability and stabilization problem is one of the fundamental problems in singular systems theory, and is used in many fields. The study of singular systems with time-delay is more difficult than that of singular systems without time-delay. In this paper, the Lyapunov's method is employed to study the asymptotic stability and the problem of stabilization on the singular systems with time-delay, the theorem of asymptotic stability is obtained. The controller is designed for the stabilization of singular systems with time-delay. The utilized method is simple, intutitive and understood easily. An example shows that the theorem is feasible.
Keywords:Stability  Time lag theory    Control system
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