New strategies for some pursuit-evasion differential games with Gronwall-type constraints
Abstract
This paper studies a class of non-cooperative pursuit-evasion differential games in the sequence space l2. The motions of the pursuer and the evader are described by certain first-order differential equations while their control functions are subject to Gronwall-type constraints which impose history-dependent bounds on their control resources. Two fundamental problems are investigated. For the pursuit problem, new strategy for the pursuer is constructed and sufficient conditions guaranteeing the completion of pursuit are established. For evasion problem, an admissible strategy of the evader ensuring avoidance of capture is obtained, and corresponding sufficient conditions for successful evasion are derived. The proposed approached extends existing results on differential games with classical geometric and integral constraints to a broader class of systems governed by Gronwall-type restrictions.
Related
- Analysis of First-Order Linear Pursuit and Evasion Differential Games with Gronwall-Type Constraints
- Solution and Optimal Strategies for a Differential Game of Pursuit-Evasion with Point-Wise Constraints
- Interception Conditions in Multi-Agent Pursuit Games Governed by Linear Dynamics with Gronwall-type Constraints
- When Geometry Shapes Information in Pursuit-Evasion Games
- Dynamical Systems in Elliptical Pursuit and Evasion
BibTeX
@misc{adamu2026strategies,
title = {{New strategies for some pursuit-evasion differential games with Gronwall-type constraints}},
author = {Jamilu Adamu and Mehdi Salimi and Farouq Abba Wabi and Jewaidu Rilwan},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.01922},
eprint = {2609.01922},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.01922},
}
RIS
TY - UNPB
TI - New strategies for some pursuit-evasion differential games with Gronwall-type constraints
AU - Jamilu Adamu
AU - Mehdi Salimi
AU - Farouq Abba Wabi
AU - Jewaidu Rilwan
PY - 2026
DA - 2026/09/01
PB - arXiv
DO - 10.48550/arxiv.2609.01922
UR - https://arxiv.org/abs/2609.01922
AB - This paper studies a class of non-cooperative pursuit-evasion differential games in the sequence space l_2. The motions of the pursuer and the evader are described by certain first-order differential equations while their control functions are subject to Gronwall-type constraints which impose history-dependent bounds on their control resources. Two fundamental problems are investigated. For the pursuit problem, new strategy for the pursuer is constructed and sufficient conditions guaranteeing the completion of pursuit are established. For evasion problem, an admissible strategy of the evader ensuring avoidance of capture is obtained, and corresponding sufficient conditions for successful evasion are derived. The proposed approached extends existing results on differential games with classical geometric and integral constraints to a broader class of systems governed by Gronwall-type restrictions.
ER -