| 非线性有限时滞脉冲泛函微分系统的稳定性 |
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| 引用本文： | 熊双平.非线性有限时滞脉冲泛函微分系统的稳定性[J].纯粹数学与应用数学,2005,21(1):39-45. |
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| 作者姓名： | 熊双平 |
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| 作者单位： | 上海师范大学数理信息学院,上海,201418 |
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| 基金项目： | 高等学校博士学科点专项科研项目 |
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| 摘 要： | 研究了一类非线性有限时滞脉冲泛函微分系统,利用比较原理和Lyapunov函数,得到了系统零解一致最终稳定性及一致最终渐近稳定性的充分条件.
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| 关 键 词： | 脉冲泛函微分系统 比较原理 Lyapunov函数 稳定性 |
| 文章编号： | 1008-5513(2005)01-0039-07 |
| 修稿时间： | 2004年5月8日 |
Impulsive stability of nonlinear functional differential system with finite delays |
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| XIONG Shuang-ping.Impulsive stability of nonlinear functional differential system with finite delays[J].Pure and Applied Mathematics,2005,21(1):39-45. |
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| Authors: | XIONG Shuang-ping |
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| Abstract: | The stability of the zero solution of nonlinear function differential systems with finite delays is studied. Then by method of Liapunov and comparative principle, the sufficient conditions for uniform eventual stability, uniformly asymptotic eventual stability the zero solution of the differential systems are obtained. |
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| Keywords: | function differential systems with finite delay Liapunov function comparative principle stability |
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