К теории устойчивости на временной шкале класса линейных систем при структурных возмущениях

Abstract

An analysis of Lyapunov stability of linear systems of dynamical equations with periodic coefficients and structural perturbations on the time scale is carried out. Basing on the matrix-value concept of the Lyapunov direct method, the sufficient conditions of asymptotic stability for equations under consideration are obtained for all the values of the structural matrix from the structural set. As an example of application of theoretical results, the system of two dynamical equations on the time scale is considered.