| 延时系统输入状态稳定性的Lyapunov逆理论 |
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| 引用本文： | 祝乔,胡广大.延时系统输入状态稳定性的Lyapunov逆理论[J].自动化学报,2010,36(8):1131-1136. |
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| 作者姓名： | 祝乔 胡广大 |
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| 作者单位： | 1.北京科技大学信息工程学院 北京 100083 |
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| 摘 要： | 研究了延时系统输入状态稳定性的局部Lipschitz连续的Lyapunov逆理论. 针对含有任意可测局部本质有界扰动的延时系统, 一个局部Lipschitz连续的Lyapunov泛函被证实是存在的, 如果该系统是鲁棒渐进稳定的. 根据该结论, 延时系统输入状态稳定性的Lyapunov特征被进一步得到.
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| 关 键 词： | 输入状态稳定性 Lyapunov逆理论 延时系统 局部Lipschitz Lyapunov泛函 |
| 收稿时间： | 2009-08-31 |
Converse Lyapunov Theorem of Input-to-State Stability for Time-delay Systems |
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| ZHU Qiao,HU Guang-Da.Converse Lyapunov Theorem of Input-to-State Stability for Time-delay Systems[J].Acta Automatica Sinica,2010,36(8):1131-1136. |
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| Authors: | ZHU Qiao HU Guang-Da |
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| Affiliation: | 1.Department of Automation, Information Engineering School, University of Science and Technology Beijing, Beijing 100083, P.R. China |
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| Abstract: | This paper is concerned with locally Lipschitz continuous converse Lyapunov theorem of input-to-state stability for time-delay systems. For time-delay systems with arbitrary measurable locally essentially bounded disturbances, it is shown that a locally Lipschitz continuous Lyapunov functional exists if these systems are robustly asymptotically stable. Under this result, the Lyapunov characterizations of input-to-state stability for time-delay systems are obtained. |
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| Keywords: | Input-to-state stability (ISS) converse Lyapunov theorem time-delay system locally Lipschitz Lyapunov functional |
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