Search academic texts

Information × Registration Number 0211U009581, 0109U001458 , R & D reports Title Solving of the controllability, stabilizability, synthesis, identification problems for dynamic systems popup.stage_title Head Korobov Valerij, Доктор фізико-математичних наук Registration Date 30-12-2011 Organization Kharkov National University named after V.N. Karazin popup.description2 The objects of investigation are control systems of differential equations. The aim of the research is developing of the methods to solve the synthesis and stabilization problems for different classes of nonlinear control systems; obtaining the results on system identification. The obtained results: a criterion of controllability for the systems of integro-differential equations has been proved; the set of inertial controls, solving the synthesis and stabilization problems for affine systems has been constructed; the positional synthesis problem for the robust oscillating system has been solved; method to map the nonlinear systems with one-dimensional control to the simplest ones has been developed and the sufficient conditions of controllability of such systems have been obtained; the class of stepwise systems has been investigated; the results on the identification of the systems with diffused parameters and on the identification of the multidimensional equation of material transferring have been obtained and the related nonlinear wave co-operations have been investigated; the integro-differential generalization of the Burger's equation in the periodic function ring has been investigated; the sufficient conditions for solving of the admissible positional synthesis problem for nonlinear systems with discontinuous right-hand side have been obtained. The method of the research is successive analytic and logic analysis of the investigated objects. The significance of the research is defined by the theoretical and practical value of its results. The prediction is to find effective analytic and numerical methods to construct the controls provided the 0-controllability and global 0-controllability, solving the synthesis and stabilization problems. NONLINEAR CONTROL SYSTEM, SYSTEM OF INTEGRO-DIFFERENTIAL EQUATIONS, CONTROLLABILITY, MAPPABILITY, INERTIAL CONTROLS, ДОПУСТИМЫЙ SYNTHESIS, CONROLLABILITY FUNCTION METHOD, SYSTEM WITH DIFFUSED PARAMETERS, MULTIDIMENSIONAL EQUATION OF MATERIAL TRANSFERRING, NONLINEAR BURGER'S EQUATION, IDENTIFICATION, SYSTEM WITH DISCONTINUOUS RIGHT-HAND SIDE Product Description popup.authors Коротяєва С. Луценко А Скорик В. Сморцова Т. Сохін А. popup.nrat_date 2020-04-02 Close