| 一类脉冲微分系统的变差稳定性逆定理 |
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| 引用本文： | 姜旭东,李宝麟. 一类脉冲微分系统的变差稳定性逆定理[J]. 甘肃科学学报, 2011, 23(1): 11-15 |
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| 作者姓名： | 姜旭东 李宝麟 |
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| 作者单位： | 西北师范大学数学与信息科学学院,甘肃,兰州,730070 |
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| 基金项目： | 国家自然科学基金,甘肃省555创新人才工程资助项目,西北师范大学科技创新工程项目 |
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| 摘 要： | 利用Kurzweil方程解的变差稳定性有关理论,在固定时刻脉冲微分系统有界变差解变差稳定性和渐近变差稳定性定理的基础上,讨论其变差稳定性逆定理,建立了该类脉冲微分系统有界变差解的变差稳定性和渐近变差稳定性定理的逆定理.
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| 关 键 词： | 脉冲微分系统 变差稳定性 渐近变差稳定性 Lyapunov函数 |
Converse Theorems of Variational Stability for a Class of Impulsive Differential Systems |
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| JIANG Xu-dong,LI Bao-lin. Converse Theorems of Variational Stability for a Class of Impulsive Differential Systems[J]. Journal of Gansu Sciences, 2011, 23(1): 11-15 |
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| Authors: | JIANG Xu-dong LI Bao-lin |
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| Affiliation: | (College of Mathematics and Information Science,Northwest Normal University,Lanzhou 730070,China) |
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| Abstract: | Converse theorems of variational stability and asymptotically variational stability for a class of impulsive differential systems are established and discussed by using the theories of variational stability for Kurzweil equation,based on the theorems of variational stability and asymptotically variational stability for a class of impulsive differential systems. |
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| Keywords: | impulsive differential system variational stability asymptotically variational stability Lyapunov function |
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