A comprehensive differential game theoretic solution to a game of two cars

DOI10.1007/s10957-017-1134-zzbMath1380.91027OpenAlexW2729444920MaRDI QIDQ1673925

Venkata Ramana Makkapati, Mangal Kothari, Ritwik Bera

Publication date: 27 October 2017

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-017-1134-z

zbMATH Keywords

differential gamescollision avoidancebarriersnon-holonomic constraintsmin-max strategies

Mathematics Subject Classification ID

Positional games (pursuit and evasion, etc.) (91A24)

Related Items (4)

The game of two identical cars: an analytical description of the barrier ⋮ Surveillance evasion between two identical differential drive robots ⋮ A numerical method based on the complementarity and optimal control formulations for solving a family of zero-sum pursuit-evasion differential games ⋮ A two-phase evasive strategy for a pursuit-evasion problem involving two non-holonomic agents with incomplete information

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the suicidal pedestrian differential game
• On the game of two cars
• The geometric approach to the construction of the barrier surface in differential games
• Proportional navigation and the game of two cars
• The game of two identical cars
• Three-dimensional optimal pursuit and evasion with bounded controls
• Pursuit-Evasion of Two Aircraft in a Horizontal Plane
• The geometry of the barrier in the ‘game of two cars’
• Capturability in a two-target 'game of two cars'
• Plane Pursuit with Curvature Constraints
• On Pursuit with Curvature Constraints

This page was built for publication: A comprehensive differential game theoretic solution to a game of two cars