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

  • A. O. Ignat'ev Ин-т прикл. математики и механики НАН Украины, Донецк

Abstract

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.
Published
25.11.2010
How to Cite
Ignat’ev, A. O. “On the Existence of a Lyapunov Function As a Quadratic Form for Impulsive Systems of Linear Differential Equations”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, no. 11, Nov. 2010, pp. 1451–1458, https://umj.imath.kiev.ua/index.php/umj/article/view/2970.
Section
Research articles