The control of complex systems with account of relations stabilization

Abstract

Modern dynamic similitudes permit the use of the classical mechanics equations for description of the controlled systems' dynamic actions with account of the equations of constraints. This work presents the results of investigations of the complex system dynamics simulations including items of data of different physical nature, the solutions of dynamics problems and the control of solid body and robotic systems. It defines conditions required for stability of the dynamics equation solution. It suggests the algorithm of building the equations of the perturbations of relations providing the relations stabilization under computational solution. In addition, the equations of constraints describe the integral variety of the initial system dynamic equations.