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Sparse and switching infinite horizon optimal controls with mixed-norm penalizations

Kalise, Dante; Kunisch, Karl; Rao, Zhiping

Authors

Dante Kalise

Karl Kunisch

Zhiping Rao



Abstract

© 2020 EDP Sciences, SMAI. A class of infinite horizon optimal control problems involving mixed quasi-norms of Lp-type cost functionals for the controls is discussed. These functionals enhance sparsity and switching properties of the optimal controls. The existence of optimal controls and their structural properties are analyzed on the basis of first order optimality conditions. A dynamic programming approach is used for numerical realization.

Citation

Kalise, D., Kunisch, K., & Rao, Z. (2020). Sparse and switching infinite horizon optimal controls with mixed-norm penalizations. ESAIM: Control, Optimisation and Calculus of Variations, 26, https://doi.org/10.1051/cocv/2019038

Journal Article Type Article
Acceptance Date Jun 5, 2019
Online Publication Date Sep 18, 2020
Publication Date Sep 18, 2020
Deposit Date Aug 30, 2019
Publicly Available Date Mar 28, 2024
Journal ESAIM - Control, Optimisation and Calculus of Variations
Print ISSN 1292-8119
Electronic ISSN 1262-3377
Publisher EDP Open
Peer Reviewed Peer Reviewed
Volume 26
DOI https://doi.org/10.1051/cocv/2019038
Keywords Control and Systems Engineering; Control and Optimization; Computational Mathematics
Public URL https://nottingham-repository.worktribe.com/output/2522769
Publisher URL https://www.esaim-cocv.org/component/article?access=doi&doi=10.1051/cocv/2019038

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