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research article

Mean Field Type Control With Species Dependent Dynamics via Structured Tensor Optimization

Ringh, Axel
•
Haasler, Isabel  
•
Chen, Yongxin
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January 1, 2023
Ieee Control Systems Letters

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.

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Mean_Field_Type_Control_With_Species_Dependent_Dynamics_via_Structured_Tensor_Optimization.pdf

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http://purl.org/coar/version/c_970fb48d4fbd8a85

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97a3a77695052098c24c1f1f2f75dc3d

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