Стабилизация программных движений систем переменной структуры

Abstract

The program motions orbital stabilization problem is considered for systems with piecewise con-stant controls. The problem is reduced to the elucidation of the linear difference equations special system as-ymptotic stability. The considered systems class, called variable-structure systems, is included in the so-called transforming systems class, which are currently growing interest in the present time. An orbital stability crite-rion and a desired stabilizing control synthesizing method for the structurally linear systems in the case of auto-oscillation constructions are proposed.