Regional Optimal Control Problem Governed by Distributed Bi-linear Hyperbolic Systems
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This paper considers the regional bi-linear control problem of an important class of hyperbolic systems. The objective is to bring the state solutions at time T close to a desired observations w d only on a sub-region ω along the spatial domain Ω. We prove the existence of solution by minimizing sequence method. The adjoint system of this problem is introduced and used to characterize the optimal control. A numerical approach is developed and illustrated successfully by simulations.
KeywordsAdjoint systems bi-linear optimal control regional analysis simulations
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