| 离散滞后广义系统稳定域的定量估计 |
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| 引用本文： | 王汝凉,李远清,刘永清.离散滞后广义系统稳定域的定量估计[J].控制理论与应用,2002,19(2):188-192. |
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| 作者姓名： | 王汝凉 李远清 刘永清 |
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| 作者单位： | 1. 广西师范学院信息技术系,南宁,530001;华南理工大学自动控制工程系,广州,510640
2. 华南理工大学自动控制工程系,广州,510640 |
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| 基金项目： | 国家自然科学基金(60004004); 国家自然科学重点基金(69934030); 广东省自然科学基金(990584)资助项目. |
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| 摘 要： | 利用Lyapunov方法讨论离散滞后广义系统, 并给出了该类系统的零解一致稳定区域和渐近稳定区域的大小估计. 当初始扰动是在稳定区域时, 离散滞后广义系统的初始值问题的解一致稳定; 当初始扰动是在渐近稳定区域时, 离散滞后广义系统的初始值问题的解趋于零. 所举的仿真例子描述了该方法的应用.
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| 关 键 词： | 广义系统 离散滞后 一致稳定 一致渐近稳定 稳定区域 渐近稳定区域 |
| 收稿时间： | 2000/7/20 0:00:00 |
| 修稿时间： | 2001/5/22 0:00:00 |
A Quantitative Estimate on the Stability Region of Discrete-Delay Singular Systems |
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| WANG Ruliang,LI Yuanqing and LIU Yongqing.A Quantitative Estimate on the Stability Region of Discrete-Delay Singular Systems[J].Control Theory & Applications,2002,19(2):188-192. |
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| Authors: | WANG Ruliang LI Yuanqing and LIU Yongqing |
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| Abstract: | This paper discusses discrete_delay singular systems by using Lyapunov's method and estimates the size of the uniformly stable region and asymptotic stability region around zero for discrete_delay singular systems. When the initial disturbance is in the stability region, the solution of the initial value problem of discrete-delay singular systems is uniformly stable; when the initial disturbance is in the asymptotic stability region, the solution of the initial value problem of discrete_delay singular systems approaches zero. A numerical simulation is given to illustrate the application of the obtained approach. |
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| Keywords: | singular systems discrete_delay uniform stability uniform asymptotic stability stability region asymptotic stability region |
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