Temporally sparse controls for infinite horizon semilinear parabolic equations with norm constraints

• Autorzy: Casas Eduardo , Kunisch Karl

Identyfikatory

DOI

10.2478/candc-2024-003

• Języki publikacji: EN

Abstrakty

EN

In this paper, infinite horizon optimal control problems subject to semilinear parabolic equations are investigated. A finite number of only time-dependent controls intervening at disjoint positions in the space domain are considered. The controls are subject to integral constraints and a term is included in the cost functional that promotes control sparsity. The existence of optimal controls is proven, first and second order optimality conditions are derived, and the approximation by finite horizon control problems is addressed.

Słowa kluczowe

EN

semilinear parabolic equation; sparse optimal control; infinite horizon problem; first and second order optimality conditions

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2024
• Tom: Vol. 53, No. 1
• Strony: 11--42
• Opis fizyczny: Bibliogr. 20 poz.

Twórcy

autor

Casas Eduardo

• Departmento de Matemática Aplicada y Ciencias de la Computacíon, E.T.S.I. Industriales y de Telecomunicacíon, Universidad de Cantabria, 39005 Santander, Spain

autor

Kunisch Karl

• Institute for Mathematics and Scientific Computing, University of Graz, A-8010 Graz, Austria, and Radon Institute, Austrian Academy of Sciences, A-4040 Linz, Austria

Bibliografia

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