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- Title
Regional gradient optimal control problem governed by a distributed bilinear systems.
- Authors
Sidi, Maawiya Ould; Beinane, Sid Ahmed
- 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.
- Publication
Telkomnika, 2019, Vol 17, Issue 4, p1957
- ISSN
1693-6930
- Publication type
Academic Journal
- DOI
10.12928/TELKOMNIKA.v17i4.11275