Advances and Applications in Discrete Mathematics
Volume 27, Issue 1, Pages 85 - 103
(May 2021) http://dx.doi.org/10.17654/DM027010085 |
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STATISTICAL SYNTHESIS OF A DYNAMICAL SYSTEM IN A FINITE-DIMENSIONAL SPACE
V. M. Balyk, N. Q. Thuong, E. V. Balyk and M. A. Osadchuk
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Abstract: This article deals with the problem of choosing the optimal control of a dynamic system, which is described by a system of equations of motion, functional constraints, and the functional of the problem. Reduction of the initial problem to the problem in the finite-difference formulation and replacement of all functional constraints and equations of motion with criterion functions is presented. An additive criterion presented in a finite-difference form is considered and a statistical synthesis of dynamic system control is presented. The method of multiextremal search for a global extremum and its operation on a model problem are presented. |
Keywords and phrases: statistical synthesis, dynamic system, optimal control, finite-difference approximation, additive criterion, multi-extreme search method, global extremum, operation, trajectory.
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