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Regional optimal control for a class of semilinear systems with distributed controls

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ABSTRACT This paper considers a regional optimal control problem for a class of semilinear infinite dimensional systems, with distributed controls. The existence of an optimal control is proven, and then… Click to show full abstract

ABSTRACT This paper considers a regional optimal control problem for a class of semilinear infinite dimensional systems, with distributed controls. The existence of an optimal control is proven, and then this control is characterised for four cases of admissible controls. Theoretical results lead to a useful algorithm, that we illustrate by simulations of two heat equations.

Keywords: systems distributed; control; distributed controls; regional optimal; class semilinear; optimal control

Journal Title: International Journal of Control
Year Published: 2019

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