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 L yapunov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 .
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.
出处
《数学物理学报（A辑）》
CSCD
北大核心
2001年第3期289-295,共7页
Acta Mathematica Scientia
基金
国家自然科学基金 (编号 1 9872 0 1 0 )资助
理学院青年教师基金资助
