Stabilization of program movements of a large dynamic system with constraints on coordinate and control vectors

The problems of stabilization of programmed movements and equilibrium positions are topical applied problems of the modern theory of automatic control. In this work, to stabilize the equilibrium position and stabilize the programmed movements of a large nonlinear dynamic system consisting of “s” subsystems, projection-operator methods of mathematical programming are used. A large dynamical system is defined as a block-diagonal operator with blocks defined by nonlinear stationary difference operators. As an example, the article considers a block-diagonal operator of an electric power association consisting of three electric power systems connected to an infinite power bus by power lines.