Time-Optimal Control Problem in the Space of Probability Measures

DOI10.1007/978-3-319-26520-9_11zbMath1451.49030OpenAlexW2293093166MaRDI QIDQ3304765

Giulia Cavagnari, Antonio Marigonda

Publication date: 3 August 2020

Published in: Large-Scale Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-26520-9_11

zbMATH Keywords

differential inclusionstime optimal controloptimal transport

Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20) Set-valued and variational analysis (49J53) Dynamic programming (90C39) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Probabilistic measure theory (60A10) Optimality conditions for problems involving randomness (49K45) Optimal transportation (49Q22)

Related Items (12)

Averaged time-optimal control problem in the space of positive Borel measures ⋮ Optimal synchronization problem for a multi-agent system ⋮ Synthesis of third-order time-optimal control system for plants with extremum time response ⋮ Generalized control systems in the space of probability measures ⋮ Mayer control problem with probabilistic uncertainty on initial positions ⋮ Measure-theoretic Lie brackets for nonsmooth vector fields ⋮ Superposition Principle for Differential Inclusions ⋮ Lattice approximations of the first-order mean field type differential games ⋮ A stability property in mean field type differential games ⋮ Krasovskii-Subbotin approach to mean field type differential games ⋮ Positional strategies in mean-field control problems on a finite state space ⋮ Generalized dynamic programming principle and sparse mean-field control problems

Cites Work

• Unnamed Item
• A new class of transport distances between measures
• Generalized control systems in the space of probability measures
• The Flow Associated to Weakly Differentiable Vector Fields: Recent Results and Open Problems
• Young measure, superposition and transport

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