On a convergence’s property of control systems program manifold

Abstract

The problem of construction of all the set of differential equations possessing by given integral manifold have been formulated and a method of solving this problem is given in the work [1]. Later on Erugin’s method was developed for construction of stable system of differential equations and nonlinear automatic control systems under given program manifold in [2] - [5]. It is known that realization of stability and other qualitative property of program manifold is required for construction program motion’s systems. Establishment of convergence’s properties of nonlinear systems and nonlinear automatic control’s systems were studied in [6, 7]. The problem of finding of convergence conditions of control systems’ program manifold is investigated with respect to the given vector-function in this paper.