AN INVESTIGATION OF THE DYNAMICS OF NONLINEAR-SYSTEMS WITH UNCERTAINTY AND PERTURBATIONS USING THE METHOD OF VECTOR-LYAPUNOV FUNCTIONS .2.

A brief description is given of the results of the development of algo rithms for analyzing the stability of nonlinear stabilization systems, constructing estimates of the basic figures of merit, and synthesizin g a control with guaranteed quality based on the use of vector Lyapuno v functions for the purpose of allowing for parametric and other uncer tainties and perturbations for systems described by a set of both diff erential and difference equations (continuous-discrete systems). The p ossibility of using the procedure described to investigate the dynamic s of a system for the gyrostabilization of an elastic spacecraft is de monstrated.