Control and optimization of abstract continuous time evolution inclusions

• Autorzy: Mokhtar-Kharroubi Hocine

Identyfikatory

DOI

10.2478/candc-2023-0030

• Języki publikacji: EN

Abstrakty

EN

Abstract controlled evolution inclusions are revisited in the Banach spaces setting. The existence of solution is established for each selected control. Then, the input–output (or, control-states) multimap is examined and the Lipschitz continuous well posedness is derived. The optimal control of such inclusions handled in terms of a Bolza problem is investigated by means of the so-called PF format of optimization. A strong duality is provided, the existence of an optimal pair is given and the system of optimalty is derived. A Fenchel duality is built and applied to optimal control of convex process of evolution. Finally, it will be shown how the general theory we provided can be applied to a wide class of controled integrodifferental inclusions.

Słowa kluczowe

EN

evolution inclusion; well-posedness; optimal control; strong duality; system of optimality; Fenchel duality; convex process of evolution; integrodifferential inclusions

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2023
• Tom: Vol. 52, No. 1
• Strony: 5--34
• Opis fizyczny: Bibliogr. 40 poz.

Twórcy

autor

Mokhtar-Kharroubi Hocine

• Université Oran I Ahmed Benbella, Département de Mathématiques BP l524, Elmnáouer Oran 31000, b Algérie

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