INVESTIGATION OF THE DYNAMICS OF NONLINEAR-SYSTEMS WITH UNCERTAINTY AND PERTURBATIONS ON THE BASIS OF THE METHOD OF VECTOR-LYAPUNOV FUNCTIONS

A brief account is given of the results of the development of algorith ms for analyzing the stability of nonlinear stabilization systems, con structing estimates of the basic figures of merit, and synthesizing a control with guaranteed quality based on the use of vector Lyapunov fu nctions so as to take into consideration the parametric and other unce rtainties and perturbations for systems described by differential or d ifference equations.