| 非线性脉冲微分系统的双测度稳定性 |
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| 引用本文： | 彭临平,燕居让.非线性脉冲微分系统的双测度稳定性[J].数学物理学报(A辑),2001,21(3):289-295. |
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| 作者姓名： | 彭临平 燕居让 |
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| 作者单位： | [1]北京航空航天大学理学院应用数学系，北京100083 [2]山西大学数学系，太原030006 |
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| 基金项目： | 国家自然科学基金(编号19872010)资助和理学院青年教师基金资助 |
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| 摘 要： | 该文研究了非线性脉冲微分系统的双测度稳定性问题，借助类似于Ｌｙａｐｕｎｏｖ函数的一类函数，建立了有关双测度稳定性的几个定理，这些定理均不要求类似的Ｌｙａｐｕｎｏｖ函数其广义导数在讨论的整个区域不变号，而只须在一些特殊取值处的导数具有固定的符号，推广和改进了已有的结果．最后阐述了这些定理的应用．
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| 关 键 词： | 非线性 脉冲微分系统 双测度稳定性 |
| 修稿时间： | 1998年10月26 |
Stability in Terms of Two Measures of Nonlinear Impulsive Differential Systems |
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| PENG Lin-Ping,YAN Ju-Rang.Stability in Terms of Two Measures of Nonlinear Impulsive Differential Systems[J].Acta Mathematica Scientia,2001,21(3):289-295. |
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| Authors: | PENG Lin-Ping YAN Ju-Rang |
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| Abstract: | In the present paper, problems related to the stability in terms of two measures of nonlinear impulsive differential systems are considered. The research is done by means of piecewise continuous anxiliary functions which are an analogue of Lyapunov functions. Some stability theorems are obtained which are a generalization of the known results. Finally as an application, the investigation of the stability in terms of two measures of several differential systems with impulses is given. |
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| Keywords: | Nonlinear Impulsive differential systems Stability in terms of two measures |
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