| 脉冲微分系统关于部分变元的强稳定性 |
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| 引用本文： | 彭临平.脉冲微分系统关于部分变元的强稳定性[J].北京航空航天大学学报,2001,27(3):365-368. |
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| 作者姓名： | 彭临平 |
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| 作者单位： | 北京航空航天大学 理学院 |
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| 摘 要： | 介绍了一种新的稳定性--脉冲微分系统的解关于部分变元的强稳定性,并进而讨论了该类稳定性问题. 首先建立了两个重要的引理,然后再借助于逐段连续的Lyapunov函数,得到了脉冲微分系统的零解关于部分变元强稳定性的一些判定定理.最后阐述了这些定理的应用.
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| 关 键 词： | 脉冲 微分方程 稳定性 部分变元 |
| 文章编号： | 1001-5965(2001)03-0365-04 |
| 收稿时间： | 2000-01-21 |
| 修稿时间： | 2000年1月21日 |
Strong Stability with Respect to Part of the Variablesin Systems with Impulse Effect |
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| PENG Lin-ping.Strong Stability with Respect to Part of the Variablesin Systems with Impulse Effect[J].Journal of Beijing University of Aeronautics and Astronautics,2001,27(3):365-368. |
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| Authors: | PENG Lin-ping |
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| Institution: | Beijing University of Aeronautics and Astronautics, School of Science |
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| Abstract: | The present paper introduces a new kind of stability——strong stability with respect to part of the variables in systems with impulse effect. The question on the stability is discussed. Effective sufficient conditions are found for strong stability with respect to partial variables of the zero solution of an impulsive differential system. The approach present is based on the specially introduced piecewise continuous Lyapunov functions and two important lemmas. Finally the obtained criteria are applied to the investigation of strong stability of the zero solutions with respect to part of the variables in impulsive differential systems. |
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| Keywords: | impulse differential equations stability partial variables |
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