ANALYSTS OF STABILITY OF NONAUTONOMOUS SYSTEMS UNDER FREQUENTLY-ACTING PERTURBATION BY THE NORM OF THE STATE TRANSITION MATRIX

The investigation of the stability of nonlinear nonautonomoussystems under the frequently acting perturbation, is the further developing of the study of the stability in Liapunov sense; and is of significancein practice since perturbations are often more than once in the time domain.The present paper present an analysis of the stability problems ofnon-autonomous systems in mechanical and electrical engineering by means of the norm of the state transition matrix is presented. A numerical method for computation of the norm of the state transition has been given.