Regional optimal control problem with minimum energy for a class of bilinear distributed systems

Rabie Zine; Maawiya Ould Sidi

doi:10.1093/imamci/dnx022

Regional optimal control problem with minimum energy for a class of bilinear distributed systems

Rabie Zine
, Maawiya Ould Sidi

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

The aim of this paper is to propose a method for solving a regional control problem with minimum energy for a system governed by a wave equation via bi-linear bounded control. Using optimal control techniques, we show how to bring the solution for a two-dimensional wave equation with control act as multiplier of the state, close to a desired profile only on a subregion of the system domain.

Original language	English
Pages (from-to)	1187-1199
Number of pages	13
Journal	IMA Journal of Mathematical Control and Information
Volume	35
Issue number	4
DOIs	https://doi.org/10.1093/imamci/dnx022
State	Published - 18 Dec 2018
Externally published	Yes

Keywords

Bi-linear systems
Optimal control
Regional control problems
Wave equation

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10.1093/imamci/dnx022

Cite this

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title = "Regional optimal control problem with minimum energy for a class of bilinear distributed systems",

abstract = "The aim of this paper is to propose a method for solving a regional control problem with minimum energy for a system governed by a wave equation via bi-linear bounded control. Using optimal control techniques, we show how to bring the solution for a two-dimensional wave equation with control act as multiplier of the state, close to a desired profile only on a subregion of the system domain.",

keywords = "Bi-linear systems, Optimal control, Regional control problems, Wave equation",

author = "Rabie Zine and Sidi, \{Maawiya Ould\}",

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AU - Zine, Rabie

AU - Sidi, Maawiya Ould

N1 - Publisher Copyright: © The authors 2017.

PY - 2018/12/18

Y1 - 2018/12/18

N2 - The aim of this paper is to propose a method for solving a regional control problem with minimum energy for a system governed by a wave equation via bi-linear bounded control. Using optimal control techniques, we show how to bring the solution for a two-dimensional wave equation with control act as multiplier of the state, close to a desired profile only on a subregion of the system domain.

AB - The aim of this paper is to propose a method for solving a regional control problem with minimum energy for a system governed by a wave equation via bi-linear bounded control. Using optimal control techniques, we show how to bring the solution for a two-dimensional wave equation with control act as multiplier of the state, close to a desired profile only on a subregion of the system domain.

KW - Bi-linear systems

KW - Optimal control

KW - Regional control problems

KW - Wave equation

UR - https://www.scopus.com/pages/publications/85032256892

U2 - 10.1093/imamci/dnx022

DO - 10.1093/imamci/dnx022

M3 - Article

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VL - 35

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JO - IMA Journal of Mathematical Control and Information

JF - IMA Journal of Mathematical Control and Information

IS - 4

ER -

Regional optimal control problem with minimum energy for a class of bilinear distributed systems

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Keywords

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