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Information × Registration Number 0302U005230, 0100U003352 , R & D reports Title Non-linear dynamical systems and control popup.stage_title Проблема позиційного синтезу для нелінійних диференціальних рівнянь при наявності обмежень на керування та його похідні Head Korobov V.I., Registration Date 22-04-2002 Organization Kharkov National University named after V.N.Karazin popup.description2 The object of investigation are control systems of differential equations. The aim of the research is to obtain conditions for solvability of the positional synthesis problem with constraints on control and its derivatives. The method of the research is successive analytic and logic analysis of the investigated objects. The method of controllability function is extended on the positional syntesis problems with constraints on control and its derivatives. For linear system the family of positional controls is selected. Every control from the family solves the local positional controls is selected. Every control from the family solves the local positional synthesis problem of interial controls. In the limit case the corresponding control solves by stabilization problem. In addition the time of the motion is determined by means of the controllability function. For nonlinear system with the one-dimensional control the mentioned problem issolved by the first approximation. The upper estimate on the time of the motion is obtained. The significance of the research is defined by the possibility to apply its results to the various problems such as optimal control problem, the problems of stabilization, controllability, identification. Product Description popup.authors popup.nrat_date 2020-04-02 Close