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All Journal TELKOMNIKA (Telecommunication Computing Electronics and Control)
Maawiya Ould Sidi
Jouf University
Computer Science & IT

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Regional gradient optimal control problem governed by a distributed bilinear systems Maawiya Ould Sidi; Sid Ahmed Beinane
TELKOMNIKA (Telecommunication Computing Electronics and Control) Vol 17, No 4: August 2019
Publisher : Universitas Ahmad Dahlan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12928/telkomnika.v17i4.11275

Abstract

This paper gives an extension of previous work on gradient optimal control of distributed parabolic systems to the case of distributed bilinear systems which are a type of nonlinear systems. We introduce the notion of flux optimal control of distributed bilinear systems. The idea is trying to achieve a neighborhood of the gradient state of the considered system by minimizing a nonlinear quadratic cost. Using optimization techniques, a method showing how to reach a desired flux at a final time, only on internal subregion of the system domain will be proposed. The proposed simulation illustrates the theoretical approach by commanding the heat bilinear equation flux to a desired profile.
Co-Authors Sid Ahmed Beinane