2017
Том 69
№ 9

All Issues

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

Ignat'ev A. O.

Full text (.pdf)


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.

English version (Springer): Ukrainian Mathematical Journal 62 (2010), no. 11, pp 1680-1689.

Citation Example: Ignat'ev A. O. On the existence of a lyapunov function as a quadratic form for impulsive systems of linear differential equations // Ukr. Mat. Zh. - 2010. - 62, № 11. - pp. 1451–1458.

Full text