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Regional optimal control problem with minimum energy for a class of bilinear distributed systems
Journal article   Peer reviewed

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

Rabie Zine and Maawiya Ould Sidi
IMA journal of mathematical control and information, Vol.35(4), pp.1187-1199
18/12/2018
DOI: https://doi.org/10.1093/imamci/dnx022

Abstract

Automation & Control Systems Mathematics Mathematics, Applied Physical Sciences Science & Technology Technology
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.

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