Reach-avoid differential games with targets and obstacles depending on controls

DOI10.1007/s13235-017-0235-5zbMath1411.91098OpenAlexW2772402455MaRDI QIDQ1741190

Emmanuel Nicholas Barron

Publication date: 3 May 2019

Published in: Dynamic Games and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13235-017-0235-5

zbMATH Keywords

optimal stoppingdouble obstacleIsaacs' equationreach-avoid differential gamestate and control constraint

Mathematics Subject Classification ID

Differential games (aspects of game theory) (91A23) Stopping times; optimal stopping problems; gambling theory (60G40) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)

Cites Work

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• Differential games of mixed type with control and stopping times
• Nonlinear variational inequalities and differential games with stopping times
• Viscosity solutions of Hamilton-Jacobi equations
• Discontinuous differential games and control systems with supremum cost
• Differential games in \(L^{\infty}\)
• Reach-avoid problems with time-varying dynamics, targets and constraints
• The Bellman equation for minimizing the maximum cost
• Reachability and Minimal Times for State Constrained Nonlinear Problems without Any Controllability Assumption
• Differential games with maximum cost
• A general Hamilton-Jacobi framework for non-linear state-constrained control problems
• A time-dependent Hamilton-Jacobi formulation of reachable sets for continuous dynamic games
• Hamilton–Jacobi Formulation for Reach–Avoid Differential Games
• The existence of value in differential games
• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations