Linear quadratic tracking with continuous conformable derivatives

Cuchta, Tom; Poulsen, Dylan; Wintz, Nick

doi:10.1016/j.ejcon.2023.100808

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Iman Malmir1

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2023

2024

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Cited by 7 publications

(1 citation statement)

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“…But in applying quadratic programming model, it is relaxed accurately. One extension of the linear-quadratic optimal control problems is the linear-quadratic tracking problem [7]. Here we will present a method which applicable for such tracking problems of the partial differential equations.…”

Section: Iman Malmirmentioning

confidence: 99%

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

Malmir

2023

ACSE

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In this work, a novel method for simulating the fractional twodimensional 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.

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Section: Iman Malmirmentioning

confidence: 99%