Abstract
The problem of synthesizing optimal control of the motion of a non-linear unsteady system is considered. The control quality is evaluated by a functional of mixed type (a Boltz functional) /1/. 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. The synthesis problem, i.e. of representing the optimal control as a function of the system coordinates, has been considered in many publications, for instance in /1–9/etc.
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