| 引用本文: | 楚天广，王照林.非线性系统在乘积空间中的实用稳定性：直接方法[J].控制理论与应用,1996,13(3):381~385.[点击复制] |
| CHU Tianguang，WANG Zhaolin.A Direct Approach to Practical Stability of Nonlinear Systems on Product Spaces[J].Control Theory and Technology,1996,13(3):381~385.[点击复制] |
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| 非线性系统在乘积空间中的实用稳定性：直接方法 |
| A Direct Approach to Practical Stability of Nonlinear Systems on Product Spaces |
| 摘要点击 858 全文点击 379 投稿时间：1995-03-04 修订日期：1995-09-29 |
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| DOI编号 |
| 1996,13(3):381-385 |
| 中文关键词 非线性系统 乘积空间 实用稳定性 向量直接方法 单调函数类 |
| 英文关键词 nonlinear system practical stability product spaces vector direct method monotonic function class |
| 基金项目 |
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| 中文摘要 |
| 本文研究非线性系统在乘积空间中的实用稳定性．利用向量辅助函数和适当的单调函数类，提出一种以微分比较原理和基本的单调性准则为基础的直接方法．它将问题归结为一组微分或积分（特殊地，代数）不等式条件，可以直接根据系统方程进行检验而无须引入并求解任何形式的比较系统，便于实际应用．文中给出了示例． |
| 英文摘要 |
| This paper deals with the problem of practical stability of nonlinear systems on product spaces. Based on differential comparison principle and the basic monotonicity condition，a vector direct method is proposed in terms of vector auxiliary functions and proper class of monotonic functions. This method reduces the problem to verifying a
set of differential or integral (specially，algebric) inequalities directly according to
equations of the system under consideration，without requiring knowledge of solutions of any so-called "comparison systems" as that in many previous works. An illustrative example is worked out to demonstrate the availability of the presently proposed method. |