A topological derivative-based algorithm to solve optimal control
problems with $L^0(\Omega)$ control costArticleAuthors: Daniel Wachsmuth
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0000-0001-7828-5614
Daniel Wachsmuth
In this paper, we consider optimization problems with $L^0$-cost of the controls. Here, we take the support of the control as independent optimization variable. Topological derivatives of the corresponding value function with respect to variations of the support are derived. These topological derivatives are used in a novel gradient descent algorithm with Armijo line-search. Under suitable assumptions, the algorithm produces a minimizing sequence.
Volume: Volume 5
Section: Original research articles
Published on: June 26, 2024
Accepted on: June 24, 2024
Submitted on: October 5, 2023
Keywords: Mathematics - Optimization and Control
Funding:
Source : OpenAIRE Graph- Non-smooth and Complementarity-Based Distributed Parameter Systems: Simulation and Hierarchical Optimization; Funder: Deutsche Forschungsgemeinschaft; Code: 274039581/SPP 1962