| EXPONENTIAL STABILITY OF A REPARABLE MULTI-STATE DEVICE |
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| 作者姓名： | Weiwei HU Houbao XU Jingyuan YU Guangtian ZHU |
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| 作者单位： | [1]Beijing Institute of Information and Control, Beijing 100037, China. [2]Department of Mathematics, Beijing Institute of Technology, Beijing 100081, China. [3]Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China. |
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| 基金项目： | The research is supported by Beijing Institute of Technology Foundation under Grant No. 20060742011 |
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| 摘 要： |
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| 关 键 词： | Co半群 指数稳定性 多状态装置 系统算子 |
| 收稿时间： | 12 June 2006 |
| 修稿时间： | 2006-06-12 |
Exponential Stability of a Reparable Multi-State Device |
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| Weiwei HU Houbao XU Jingyuan YU Guangtian ZHU.EXPONENTIAL STABILITY OF A REPARABLE MULTI-STATE DEVICE[J].Journal of Systems Science and Complexity,2007,20(3):437-443. |
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| Authors: | Weiwei Hu Houbao Xu Jingyuan Yu Guangtian Zhu |
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| Institution: | (1) Beijing Institute of Information and Control, Beijing, 100037, China;(2) Department of Mathematics, Beijing Institute of Technology, Beijing, 100081, China;(3) Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100080, China |
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| Abstract: | The exponential stability of a multi-state device is discussed in this paper. We present that the Co-semigroup generated by the system operator is quasi-compact and irreducible. It is known that 0 is a simple eigenvalue of the system operator. In combination with this, we obtain that the time-dependent solution exponentially converges to the steady-state solution, which is the positive eigenfuction corresponding to the simple eigenvalue O. |
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| Keywords: | C0-semigroup exponential stability irreducibility quasi-compact |
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