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Semismooth newton method for boundary bilinear control

Abstract: We study a control-constrained optimal control problem governed by a semilinear elliptic equation. The control acts in a bilinear way on the boundary, and can be interpreted as a heat transfer coefficient. A detailed study of the state equation is performed and differentiability properties of the control-to-state mapping are shown. First and second order optimality conditions are derived. Our main result is the proof of superlinear convergence of the semismooth Newton method to local solutions satisfying no-gap second order sufficient optimality conditions as well as a strict complementarity condition.

 Autoría: Casas E., Chrysafinos K., Mateos M.,

 Fuente: IEEE Control Systems Letters, 2023, 7, 3549-3554

Editorial: Institute of Electrical and Electronics Engineers, Inc.

 Fecha de publicación: 29/11/2023

Nº de páginas: 6

Tipo de publicación: Artículo de Revista

 DOI: 10.1109/LCSYS.2023.3337747

ISSN: 2475-1456

 Proyecto español: PID2020-114837GB-I00

Url de la publicación: https://doi.org/10.1109/LCSYS.2023.3337747