| 2-D区间系统的分支稳定性问题 |
| |
| 引用本文： | 赵胜民,李文秀. 2-D区间系统的分支稳定性问题[J]. 华中科技大学学报(自然科学版), 2002, 30(3): 25-27 |
| |
| 作者姓名： | 赵胜民 李文秀 |
| |
| 作者单位： | 哈尔滨工程大学自动化学院,150001 |
| |
| 基金项目： | 国家自然科学基金资助项目 (7970 0 0 16 ) |
| |
| 摘 要： | 研究线性离散2－D区间系统一般模型的分支稳定性问题，分别给出了此类系统分支渐近稳定性和指数分支渐近稳定性的定义。当且仅当系统矩阵满足某些约束条件的状态向量变换成满足另外一个约束条件的向量时，证明了此类系统是分支渐近稳定的。利用不等式性质，给出了2－D区间系统一般模型分支渐近稳定和指分支渐近稳定的判别条件。
|
| 关 键 词： | 2－D区间系统 控制系统 分支渐近稳定性 一般模型 指数分支渐近稳定性 约束条件 |
| 文章编号： | 1671-4512(2002)03-0025-03 |
| 修稿时间： | 2001-11-30 |
Componentwise stability of 2-D interval systems |
| |
| Zhao Shengmin Li Wenxiu Automation College,Harbin Engineering University,Harbin,,China.. Componentwise stability of 2-D interval systems[J]. JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE, 2002, 30(3): 25-27 |
| |
| Authors: | Zhao Shengmin Li Wenxiu Automation College Harbin Engineering University Harbin China. |
| |
| Affiliation: | Zhao Shengmin Li Wenxiu Automation College,Harbin Engineering University,Harbin,150001,China. |
| |
| Abstract: | In this paper, componentwise stability of the general model of 2 D linear discrete interval systems is investigated. The componentwise asymptotically stability and the componentwise asymptotically exponential stability of this kind of system are defined. It is proved that the system is componentwise asymptotically stable if and only if the system matrices transform the state vectors satisfying some constraints to a vector satisfying another constraint. By the property of inequalities, sufficient and necessary conditions for the componentwise asymptotically stability and the componentwise asymptotically exponential stability of this kind of system are given respectively. |
| |
| Keywords: | control system componentwise stability interval system 2 D systems general model |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
