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Erscheinungsjahr: 
2023
Quellenangabe: 
[Journal:] Computational Optimization and Applications [ISSN:] 1573-2894 [Volume:] 87 [Issue:] 3 [Publisher:] Springer US [Place:] New York, NY [Year:] 2023 [Pages:] 811-833
Verlag: 
Springer US, New York, NY
Zusammenfassung: 
We investigate optimal control problems with L0constraints, which restrict the measure of the support of the controls. We prove necessary optimality conditions of Pontryagin maximum principle type. Here, a special control perturbation is used that respects the L0constraint. First, the maximum principle is obtained in integral form, which is then turned into a pointwise form. In addition, an optimization algorithm of proximal gradient type is analyzed. Under some assumptions, the sequence of iterates contains strongly converging subsequences, whose limits are feasible and satisfy a subset of the necessary optimality conditions.
Schlagwörter: 
Sparse optimal control
L0 constraints
Pontryagin maximum principle
Proximal gradient method
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