On the existence of a lyapunov function as a quadratic form for impulsive systems of linear differential equations

被引：0
|
作者：
A. O. Ignat’ev
机构：
[1] National Academy of Sciences of Ukraine,Institute of Applied Mathematics and Mechanics
来源：
Ukrainian Mathematical Journal | 2011年 / 62卷
关键词：
Quadratic Form; Lyapunov Function; Trivial Solution; Linear Differential Equation; Pulse Action;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A system of linear differential equations with pulse action at fixed times is considered. We obtain sufficient conditions for the existence of a positive-definite quadratic form whose derivative along the solutions of differential equations and whose variation at the points of pulse action are negative-definite quadratic forms regardless of the times of pulse action.
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页码：1680 / 1689
页数：9
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