Compatibility of state constraints and dynamics for multiagent control systems

DOI10.1007/s00028-021-00724-zzbMath1479.49068OpenAlexW3170764270MaRDI QIDQ2064554

Marc Quincampoix, Giulia Cavagnari, Antonio Marigonda

Publication date: 6 January 2022

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-021-00724-z

zbMATH Keywords

optimal controlHamilton-Jacobi-Bellman equationmulti-agentoptimal transport

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Nonsmooth analysis (49J52) Ordinary differential inclusions (34A60) Control/observation systems governed by ordinary differential equations (93C15) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Optimality conditions for problems in abstract spaces (49K27) Optimality conditions for problems involving relations other than differential equations (49K21) Hamilton-Jacobi equations (35F21) Optimal transportation (49Q22)

Related Items (5)

Dynamical Systems and Hamilton–Jacobi–Bellman Equations on the Wasserstein Space and their L² Representations ⋮ Set-driven evolution for multiagent system ⋮ A single player and a mass of agents: A pursuit evasion-like game ⋮ Attainability property for a probabilistic target in Wasserstein spaces ⋮ Extremal shift rule and viability property for mean field-type control systems

Cites Work

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• Mean Field Games and Mean Field Type Control Theory
• Probabilistic Theory of Mean Field Games with Applications I
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