A scheme for calculating solvability sets ``up to moment in linear differential games

DOI10.1007/s10883-022-09627-9zbMath1527.91025OpenAlexW4312193954MaRDI QIDQ6054034

Liudmila Kamneva

Publication date: 24 October 2023

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-022-09627-9

zbMATH Keywords

reachability analysissolvability setlinear differential gamebackward reachable setextremal control proceduretime-optimal differential game

Mathematics Subject Classification ID

Differential games and control (49N70) Differential games (aspects of game theory) (91A23) Attainable sets, reachability (93B03) Linear optimal control problems (49N05)

Cites Work

• On the coincidence of maximal stable bridges in two approach game problems for stationary control systems
• Two algorithms for approximate construction of the set of positional absorption in the game problem of pursuit
• Computation of solvability set for differential games in the plane with simple motion and non-convex terminal set
• On procedures for constructing solutions in differential games on a finite interval of time
• Maximal Stable Bridge in Game with Simple Motions in the Plane
• Stable Numerical Schemes for Solving Hamilton–Jacobi–Bellman–Isaacs Equations
• A Transformation of the Control under Uncertainty Problems
• Approximate construction of solutions in game-theoretic control problems
• Some algorithms for differential games with two players and one target
• A Differential Game with Two Players and One Target
• A time-dependent Hamilton-Jacobi formulation of reachable sets for continuous dynamic games
• Convex Analysis
• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
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