On the coincidence of the minimax solution and the value function in a time-optimal game with a lifeline

DOI10.1134/S0081543819040138zbMath1432.91025OpenAlexW2980527142WikidataQ126998047 ScholiaQ126998047MaRDI QIDQ2284205

Yanyan Li

Publication date: 14 January 2020

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543819040138

zbMATH Keywords

Hamilton-Jacobi equationsvalue functionminimax solutiontime-optimal differential games with lifeline

Mathematics Subject Classification ID

Applications of optimal control and differential games (49N90) Differential games (aspects of game theory) (91A23) Optimality conditions for minimax problems (49K35)

Related Items (6)

A numerical method for solving time-optimal differential games with a lifeline ⋮ Pursuit-evasion differential games with Gr-constraints on controls ⋮ Differential game: ``Life line for non-stationary geometric constraints on controls ⋮ DIFFERENTIAL GAME WITH A LIFELINE FOR THE INERTIAL MOVEMENTS OF PLAYERS ⋮ Differential game with “lifeline” for Pontryagin's control example ⋮ Convergence of numerical method for time-optimal differential games with lifeline

Cites Work

• Some algorithms for differential games with two players and one target
• Differential Games Through Viability Theory: Old and Recent Results
• Games with a “Life-Line”. The Case of l-Capture
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the coincidence of the minimax solution and the value function in a time-optimal game with a lifeline