Dynamic programming in probability spaces via optimal transport

A Terpin, N Lanzetti, F Dörfler - SIAM Journal on Control and Optimization, 2024 - SIAM
We study discrete-time finite-horizon optimal control problems in probability spaces,
whereby the state of the system is a probability measure. We show that, in many instances …

Optimal transport-based coverage control for swarm robot systems: Generalization of the voronoi tessellation-based method

D Inoue, Y Ito, H Yoshida - IEEE Control Systems Letters, 2020 - ieeexplore.ieee.org
Swarm robot systems, which consist of many cooperating mobile robots, have attracted
attention for their environmental adaptability and fault tolerance advantages. One of the most …

Discrete-time linear-quadratic regulation via optimal transport

MH De Badyn, E Miehling, D Janak… - 2021 60th IEEE …, 2021 - ieeexplore.ieee.org
In this paper, we consider a discrete-time stochastic control problem with uncertain initial
and target states. We first discuss the connection between optimal transport and stochastic …

Continuum Swarm Tracking Control: A Geometric Perspective in Wasserstein Space

M Emerick, B Bamieh - … 62nd IEEE Conference on Decision and …, 2023 - ieeexplore.ieee.org
We consider a setting in which one swarm of agents is to service or track a second swarm,
and formulate an optimal control problem which trades off between the competing objectives …

[图书][B] Control of continuum swarm systems via optimal control and optimal transport theory

M Emerick - 2022 - search.proquest.com
We consider problems of optimal motion control for multi-agent systems where assignments
as well as motions have costs. In particular, we consider a demand distribution and a …

Optimal Assignment and Motion Control in Two-Class Continuum Swarms

M Emerick, S Patterson, B Bamieh - arXiv preprint arXiv:2407.18159, 2024 - arxiv.org
We consider optimal swarm control problems where two different classes of agents are
present. Continuum idealizations of large-scale swarms are used where the dynamics …

[PDF][PDF] From Car to Fleet: The Compositionality of Optimal Control

We study the optimal control of fleets of identical particles (eg, robots, autonomous cars,
etc.), which we capture macroscopically as probability measures. First, we study fleet …