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- Title
Regional optimal control problem with minimum energy for a class of bilinear distributed systems.
- Authors
Zine, Rabie; Sidi, Maawiya Ould
- 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.
- Subjects
WAVE equation; OPTIMAL control theory; MULTIPLIERS (Mathematical analysis); PROPORTIONAL control systems; DIMENSIONAL analysis
- Publication
IMA Journal of Mathematical Control & Information, 2018, Vol 35, Issue 4, p1187
- ISSN
0265-0754
- Publication type
Article
- DOI
10.1093/imamci/dnx022