О построении матричнозначной функции Ляпунова для линейной системы с квазипериодическими коэффициентами

Abstract

One of the ways of constructing Lyapunov’s matrix-valued function for a linear system of a differential equations with quasiperiodic coeficients has been proposed. On the basis of this function, the conditions for asymptotic stability of a class of linear systems are obtained. This allows one to investigate the systems with unstable independent subsystems.