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

• Date: 2010
• Main Authors: Ignat'ev, A. O., Игнатьев, А. О.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2010
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2970
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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 negat...