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| Componentwise Asymptotic Stability of Continuous-Time Interval Systems | |
| 作者姓名： | 赵胜民 唐万生 李光泉 李文秀 |
| 作者单位： | Zhao Shengmin，Tang Wansheng，Li Guangquan & Li Wenxiu 1. College of Economics，Nankai University，Tianjin 300071，P. R. China; 2. Institute of Systems Engineering，Tianjin University，Tianjin 300072，P. R. China; 3. Automation College，Harbin Engineering University，Harbin 150001，P. R. China |
| 基金项目： | This project was supported by the National Natural Science Foundation of China (7017004). |
| 摘 要： | A special type of asymptotic (exponential) stability, namely componentwise asymptotic (exponential) stability for the continuous-time interval system is investigated. A set-valued map that represents the constraint of the state of the system is defined. And, by applying the viability theory of differential equation, sufficient and necessary conditions for the componentwise asymptotical (exponential) stability of this kind of systems are given. |
Componentwise Asymptotic Stability of Continuous-Time Interval Systems |
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| Zhao Shengmin,Tang Wansheng,Li Guangquan & Li Wenxiu . College of Economics,Nankai University,Tianjin ,P. R. China.Componentwise Asymptotic Stability of Continuous-Time Interval Systems[J].Journal of Systems Engineering and Electronics,2003,14(4). | |
| Authors: | Zhao Shengmin Tang Wansheng Li Guangquan & Li Wenxiu College of Economics Nankai University Tianjin P R China |
| Institution: | 1. College of Economics, Nankai University, Tianjin 300071, P. R. China 2. Institute of Systems Engineering, Tianjin University, Tianjin 300072, P. R. China 3. Automation College, Harbin Engineering University, Harbin 150001, P. R. China |
| Abstract: | A special type of asymptotic (exponential) stability, namely componentwise asymptotic (exponential) stability for the continuous-time interval system is investigated. A set-valued map that represents the constraint of the state of the system is defined. And, by applying the viability theory of differential equation, sufficient and necessary conditions for the componentwise asymptotical (exponential) stability of this kind of systems are given. |
| Keywords: | interval system componentwise stability viability theory |
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