| Strict Stability of Impulsive Differential Equations |
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| 作者姓名： | Yu ZHANG Ji Tao SUN |
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| 作者单位： | Department of Applied Mathematics, Tongji University, Shanghai 200092, P. R. China |
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| 基金项目： | This work is supported by the National Natural Science Foundation of China （60474008） and the Natural Science Foundation of Shanghai City （03ZR14095）, China |
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| 摘 要： | In this paper, we will extend the strict stability to impulsive differential equations. By using Lyapunov functions, we will get some criteria for the strict stability of impulsive differential equations, and we can see that impulses do contribute to the system＇s strict stability behavior. An example is also given in this paper to illustrate the efficiency of the obtained results.
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| 关 键 词： | 微分方程 严格稳定性 Lyapunov函数 有效性 |
| 收稿时间： | 2003-10-24 |
| 修稿时间： | 2003-10-242004-01-11 |
Strict Stability of Impulsive Differential Equations |
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| Yu ZHANG Ji Tao SUN.Strict Stability of Impulsive Differential Equations[J].Acta Mathematica Sinica,2006,22(3):813-818. |
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| Authors: | Yu Zhang Ji Tao Sun |
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| Institution: | (1) Department of Applied Mathematics, Tongji Univertisy, Shanghai 200092, P. R. China |
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| Abstract: | In this paper, we will extend the strict stability to impulsive differential equations. By using
Lyapunov functions, we will get some criteria for the strict stability of impulsive differential equations,
and we can see that impulses do contribute to the system's strict stability behavior. An example is
also given in this paper to illustrate the efficiency of the obtained results.
This work is supported by the National Natural Science Foundation of China (60474008) and the Natural Science Foundation of
Shanghai City (03ZR14095), China |
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| Keywords: | Impulsive differential equation Strict stability Lyapunov function |
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