Application of the Method of Averaging to the Problems of Optimal Control Over Functional-Differential Equations
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DOI: 10.1007/s11253-018-1497-9
Abstract: We study the application of the method of averaging to the problems of optimal control over functional differential equations. The procedure of averaging allows one to replace the original problem by the problem of optimal… read more here.
Keywords: method averaging; problems optimal; differential equations; application method ... See more keywords
Application of the Averaging Method to the Problems of Optimal Control for Ordinary Differential Equations on the Semiaxis
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DOI: 10.1007/s11253-018-1530-z
Abstract: Averaging method is applied to the nonlinear and linear (with respect to control) problems of optimal control on the semiaxis with small parameter and rapidly oscillating coefficients. It is shown that the solutions of the… read more here.
Keywords: averaging method; application averaging; control; problems optimal ... See more keywords
Optimal control and inverse problems
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DOI: 10.1088/1361-6420/ab8485
Abstract: The purpose of Optimal Control is to influence the behavior of a dynamical system in order to achieve a desired goal. Optimal control has a large variety of applications where the dynamics can be controlled… read more here.
Keywords: control inverse; problems optimal; solution; inverse problems ... See more keywords
Approximations to Problems of Optimal Control of Leading Coefficients of Elliptic Equations in Nondivergence Form with an Unbounded Nonlinearity in the Coefficients
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DOI: 10.1134/s0012266121060070
Abstract: We consider problems of optimal control of processes described by the Dirichlet boundary value problem for elliptic equations with mixed derivatives and unbounded nonlinearity. The controls are contained in the coefficients multiplying the highest derivatives… read more here.
Keywords: state; control; elliptic equations; problems optimal ... See more keywords