| 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.[点击复制] |
| WANG Ruliang,LI Yuanqing,LIU Yongqing.A Quantitative Estimate on the Stability Region of Discrete-Delay Singular Systems[J].Control Theory and Technology,2002,19(2):188~192.[点击复制] |
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| 离散滞后广义系统稳定域的定量估计 |
| A Quantitative Estimate on the Stability Region of Discrete-Delay Singular Systems |
| 摘要点击 1310 全文点击 1109 投稿时间：2000-07-20 修订日期：2001-05-22 |
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| DOI编号 |
| 2002,19(2):188-192 |
| 中文关键词 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 |
| 英文关键词 singular systems discrete_delay uniform stability uniform asymptotic stability stability region asymptotic stability region |
| 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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| 中文摘要 |
| 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. |
| 英文摘要 |
| 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. |