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		El Hassan ZERRIK,Nihale EL BOUKHARI.[en_title][J].Control Theory and Technology,2018,16(3):221~231.[Copy]

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Regional constrained control problem for a class of semilinear distributed systems
ElHassanZERRIK,NihaleELBOUKHARI
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(MACS team, Faculty of Sciences, Moulay Ismail University, Meknes, Morocco)

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DOI：https://doi.org/10.1007/s11768-018-6164-z

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Regional constrained control problem for a class of semilinear distributed systems

El Hassan ZERRIK,Nihale EL BOUKHARI

(MACS team, Faculty of Sciences, Moulay Ismail University, Meknes, Morocco)

Abstract:

The aim of this paper is to investigate a regional constrained optimal control problem for a class of semilinear distributed systems, which are linear in the control but nonlinear in the state. For a quadratic cost functional and a closed convex set of admissible controls, the existence of an optimal control is proven, and then this is characterized for three cases of constraints. A useful algorithm is developed, and the approach is illustrated through simulations for a heat equation.

Key words: Semilinear distributed systems, regional optimal control, constraints, heat equation