Differential game of multiple pursuers and one evader with integral constraints of special form
- 1 January 2026
- journal article
- Published by American Institute of Mathematical Sciences (AIMS) in Journal of Dynamics and Games
- Vol. 14, 72-82
Abstract
We study pursuit and evasion differential games involving multiple pursuers and a single evader with integral constraints on the control functions of the players. By definition, pursuit is completed in the game if the state of a pursuer coincides with that of the evader, and evasion is possible in the game if the state of the evader never coincides with that of any pursuer. We obtain sufficient conditions of completion of pursuit and evasion. We construct pursuit strategies and an evasion strategy in pursuit and evasion games, respectively.Keywords
This publication has 16 references indexed in Scilit:
- Cooperative Hunting Strategy with Multi-Pursuer and a Superior Evader2023
- Multiple-Pursuer Single-Evader Reach-Avoid Games in Constant Flow FieldsIEEE Transactions on Automatic Control, 2023
- Evasion Differential Game of One Evader and Many Slow PursuersDynamic Games and Applications, 2023
- Multiple Pursuer Multiple Evader Differential GamesIEEE Transactions on Automatic Control, 2020
- Optimal Strategies for a Class of Multi-Player Reach-Avoid Differential Games in 3D SpaceIEEE Robotics and Automation Letters, 2020
- Solutions for Multiagent Pursuit-Evasion Games on Communication Graphs: Finite-Time Capture and Asymptotic BehaviorsIEEE Transactions on Automatic Control, 2019
- Optimal Evading Strategies and Task Allocation in Multi-player Pursuit–Evasion ProblemsDynamic Games and Applications, 2019
- Simultaneous Multiple Capture of Rigidly Coordinated EvadersDynamic Games and Applications, 2019
- On a linear differential game of optimal approach of many pursuers with one evaderJournal of Dynamical and Control Systems, 2013
- Conflict-Controlled Processes1997