Stability of optimal shapes and convergence of thresholding algorithms in linear and spectral optimal control problems

We prove the convergence of the fixed-point (also called thresholding) algorithm in three optimal control problems under large volume constraints. This algorithm was introduced by Céa, Gioan and Michel, and is of constant use in the simulation of L∞-L1 optimal control problems. In this paper we cons...

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Bibliographic Details

Published in:	Mathematische annalen Vol. 392; no. 3; pp. 4181 - 4219
Main Authors:	Chambolle, Antonin, Mazari-Fouquer, Idriss, Privat, Yannick
Format:	Journal Article
Language:	English
Published:	Heidelberg Springer Nature B.V 01.07.2025
Subjects:	Algorithms Boundary conditions Control theory Convergence Eigenvalues L-1 optimal control Lagrange multiplier Shape optimization Stability
ISSN:	0025-5831, 1432-1807
Online Access:	Get full text
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