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Journal Information-measuring and Control Systems №12 for 2013 г.
Article in number:
Method of synthesis of optimum control with use of the principle of gauss
Keywords: needle variation of L.S. Pontryagin principle of Gauss synthesis of optimum control
Authors:
S. V. Lazarenko - Ph.D. (Eng.), The South-Russian State University of Economics and Service. E-mail: rh3311@mail.ru
Abstract:
Work is devoted to a solution of the problem of synthesis of optimum control by dynamic system. It is shown that the perspective direction of its permission is coercion use for designing of expanded functionality. Application to it a needle variation of L.S. Pontryagin allows to receive a necessary condition of a minimum of target functionality and to give an optimizing task to regional that doesn't assume use of function of Bellman. The solution of a test problem of optimum speed allows to draw a conclusion that for linear systems the new method provides the exact analytical decision. It coincides with the new law of the optimum control which is based on application of procedure of the integrated principle of a maximum at additional restriction on energy of managements.
Pages: 37-43
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