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Mean Field Type Control With Species Dependent Dynamics via Structured Tensor Optimization
Chalmers Univ Technol, Dept Math Sci, S-41296 Gothenburg, Sweden.;Univ Gothenburg, Dept Math Sci, S-41296 Gothenburg, Sweden..
Ecole Polytechn Fed Lausanne, Signal Proc Lab, LTS 4, CH-1015 Lausanne, Switzerland..
Georgia Inst Technol, Sch Aerosp Engn, Atlanta, GA 30332 USA..
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.ORCID iD: 0000-0001-5158-9255
2023 (English)In: IEEE Control Systems Letters, E-ISSN 2475-1456, Vol. 7, p. 2898-2903Article in journal (Refereed) Published
Abstract [en]

In this letter we consider mean field type control problems with multiple species that have different dynamics. We formulate the discretized problem using a new type of entropy-regularized multimarginal optimal transport problems where the cost is a decomposable structured tensor. A novel algorithm for solving such problems is derived, using this structure and leveraging recent results in entropy-regularized optimal transport. The algorithm is then demonstrated on a numerical example in robot coordination problem for search and rescue, where three different types of robots are used to cover a given area at minimal cost.

Place, publisher, year, edition, pages
Institute of Electrical and Electronics Engineers (IEEE) , 2023. Vol. 7, p. 2898-2903
Keywords [en]
Computational methods, fluid flow systems, large-scale systems, optimization, stochastic optimal control
National Category
Other Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-334307DOI: 10.1109/LCSYS.2023.3289050ISI: 001033525300008Scopus ID: 2-s2.0-85163450448OAI: oai:DiVA.org:kth-334307DiVA, id: diva2:1789166
Note

QC 20230818

Available from: 2023-08-18 Created: 2023-08-18 Last updated: 2023-08-18Bibliographically approved

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Karlsson, Johan

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