Mean field type control with species dependent dynamics via structured tensor optimization
Journal article, 2023
In this work 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.
Computational methods
Tensors
Robot kinematics
Mathematical models
Fluid flow systems
Games
Sociology
Large-scale systems
Statistics
Optimization
Stochastic optimal control
Costs
Author
Axel Ringh
Chalmers, Mathematical Sciences, Applied Mathematics and Statistics
University of Gothenburg
Isabel Haasler
Swiss Federal Institute of Technology in Lausanne (EPFL)
Yongxin Chen
Georgia Institute of Technology
Johan Karlsson
Royal Institute of Technology (KTH)
IEEE Control Systems Letters
24751456 (eISSN)
Vol. 7 2898-2903Subject Categories
Computational Mathematics
Control Engineering
DOI
10.1109/LCSYS.2023.3289050