Simulating two-dimensional optimal control problem of fractional partial differential equations

In this work, a novel method for simulating the fractional two-dimensional linear-quadratic optimal control problem of fractional partial differential equations is introduced. Here, the fractional two-dimensional optimal control problems are transformed into a quadratic programing framework by which...

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Bibliographic Details
Published in:	Advances in Computational Science and Engineering Vol. 1; no. 3; pp. 271 - 297
Main Author:	Malmir, Iman
Format:	Journal Article
Language:	English
Published:	01.09.2023
Subjects:	multi-order fractional two-dimensional optimal control fractional Robin condition numerical methods in engineering Two-dimensional fractional optimal control two-dimensional constrained optimal control of PDEs state or control constrained optimization of partial differential equations fractional partial differential equations quadratic programming
ISSN:	2837-1739, 2837-1739
Online Access:	Get full text
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Summary:	In this work, a novel method for simulating the fractional two-dimensional linear-quadratic optimal control problem of fractional partial differential equations is introduced. Here, the fractional two-dimensional optimal control problems are transformed into a quadratic programing framework by which we can use many quadratic programming solvers. There is no need to find the optimality conditions and no need to use any multiplier. The optimal control problem involves a two-dimensional performance index and the control of problem depends on both spatial and temporal variables. Some illustrative examples with complicated and challenging situations are investigated.
ISSN:	2837-1739 2837-1739
DOI:	10.3934/acse.2023012