Approximate Optimal Control for a Parabolic System with Perturbations in the Coefficients on the Half-Axis

Author:

Kapustian Olena A.ORCID,Kapustyan Oleksiy V.ORCID,Ryzhov AntonORCID,Sobchuk ValentynORCID

Abstract

In this paper, we use the averaging method to find an approximate solution in the optimal control problem of a parabolic system with non-linearity of the form f(t/ε,y) on an infinite time interval.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Reference22 articles.

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2. Vibrations nonlinéaires et théorie de la stabilité;Roseau,1966

3. On the asymptotic methods for non-linear differential equations;Besjes;J. Mécanique,1969

4. Higher Order Averaging and Related Methods for Perturbed Periodic and Quasi-Periodic Systems

5. Multiphase Averaging for Classical Systems;Lochak,1988

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