The use of first integrals in problems of synthesizing optimal control systems (Q1822348)

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scientific article; zbMATH DE number 4002912
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The use of first integrals in problems of synthesizing optimal control systems
scientific article; zbMATH DE number 4002912

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    The use of first integrals in problems of synthesizing optimal control systems (English)
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    1986
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    The problem of synthesizing optimal control of the motion of a nonlinear unsteady system is considered. The control quality is evaluated by a functional of mixed type (a Bolza functional). A method of synthesizing optimal control systems is worked out for systems of variational problems with a fixed time and a free right end, based on the use of first integrals of the equations of a free uncontrolled object. The effectiveness of the proposed method is illustrated by examples.
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    synthesizing optimal control
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    nonlinear unsteady system
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    first integrals
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