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| 离散线性区间系统的分支稳定性 | |
| 引用本文： | 赵胜民,李文秀,刘辉昭. 离散线性区间系统的分支稳定性[J]. 系统工程与电子技术, 2003, 25(1): 68-70 |
| 作者姓名： | 赵胜民 李文秀 刘辉昭 |
| 作者单位： | 1. 南开大学经济学院,天津,300071 2. 哈尔滨工程大学自动化学院,黑龙江,哈尔滨,150001 3. 河北工业大学数理系,天津,300310 |
| 基金项目： | 国家自然科学基金 ( 70 1710 0 4)，南开大学科研启动基金资助课题 |
| 摘 要： | 研究了离散区间系统的一种特殊形式的稳定性 ,即分支稳定性。分别给出了离散区间系统分支渐近稳定性和指数分支渐近稳定性的定义。证明了离散区间系统是分支渐近稳定的 ,且仅当系统矩阵在每一时刻都将满足一个约束条件的系统状态向量变换成满足另一个约束的向量。由此利用不等式的性质分别给出了离散区间系统分支渐近稳定和指数分支渐近稳定的充要条件 |
| 关 键 词： | 离散系统 区间系统 分支稳定性 |
| 文章编号： | 1001-506X(2003)01-0068-03 |
| 修稿时间： | 2002-01-13 |
Componentwise Stability of Discrete Linear Interval Systems |
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| ZHAO Sheng min ,LI Wen xiu ,LIU Hui zhao. Componentwise Stability of Discrete Linear Interval Systems[J]. System Engineering and Electronics, 2003, 25(1): 68-70 | |
| Authors: | ZHAO Sheng min LI Wen xiu LIU Hui zhao |
| Affiliation: | ZHAO Sheng min 1,LI Wen xiu 2,LIU Hui zhao 3 |
| Abstract: | In this paper a special type of stability, namely componentwise stability for discrete linear interval systems is investigated. The componentwise asymptotic stability and componentwise asymptotic exponential stability of discrete interval systems are defined, respectively. It is shown that the systems are componentwise asymptotically stable if and only if the system matrices transform a vector in a constrained set into another constrained set each time. Lastly, based on property of inequalities, sufficient and necessary conditions for the componentwise asymptotic stability and componentwise asymptotic exponential stability of such systems are given respectively. |
| Keywords: | Discrete systems Interval systems Componentwise stability |
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