| 引用本文: | 温香彩，刘永清.广义非线性系统解的一致最终有界性研究*[J].控制理论与应用,1999,16(5):725~728.[点击复制] |
| Wen Xiangcai，Liu Yongqing.Study on Uniform Ultimate Boundedness of Solution for Singular Nonlinear Systems[J].Control Theory and Technology,1999,16(5):725~728.[点击复制] |
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| 广义非线性系统解的一致最终有界性研究* |
| Study on Uniform Ultimate Boundedness of Solution for Singular Nonlinear Systems |
| 摘要点击 1027 全文点击 377 投稿时间：1996-05-15 修订日期：1998-10-21 |
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| DOI编号 |
| 1999,16(5):725-728 |
| 中文关键词 广义非线性系统 一致最终有界 Lyapunov函数 |
| 英文关键词 singular nonlinear system uniform ultimate boundedness Lyapunov function |
| 基金项目 |
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| 中文摘要 |
| 首先利用隐函数定理及常规的非线性系统解的存在唯一性定理，给出了广义非线性系统解的存在唯一性条件，然后利用标量和Lyapunov函数方法，从系统本身出发，研究了广义非线性系统解的一致最终有界性，给出了判定解一致最终有界的条件，此条件无需求解原方程，并以例子给出了说明 |
| 英文摘要 |
| The conditions of existence and uniqueness of solution for singular nonlinear systems are given by employing implicit function theorem and the existent and unique theorem of solution for normal nonlinear system at first, and then, from the original form of system, the uniform ultimate boundedness of solution for singular nonlinear system is studied by using scalar Lyapunov function; the criteria, wluch needn't solve original system equation, of uniform ultimate boundedness of solution for singular nonlinear system is obtained. An illustrated example is given. |