Interception Conditions in Multi-Agent Pursuit Games Governed by Linear Dynamics with Gronwall-type Constraints
Abstract
This paper investigates a multi-agent pursuit problem in which a group of pursuers seeks to intercept one or more evaders within a fixed operational time horizon. The motion of both pursuers and evaders is described by first-order linear differential equations, and the control inputs available to the agents are subject to Gronwall-type constraints. Pursuit is considered successful when at least one pursuer reaches the position of each evader at a finite time within the prescribed duration. Within this framework, we construct permissible strategies for the pursuers and derive sufficient conditions under which interception is guaranteed despite the evaders' counteractions. To support the theoretical results, we present numerical examples that demonstrate the effectiveness of the proposed strategies and confirm the analytical conditions for successful pursuit.
Related
- New strategies for some pursuit-evasion differential games with Gronwall-type constraints
- Analysis of First-Order Linear Pursuit and Evasion Differential Games with Gronwall-Type Constraints
- Fractional multiterm Gronwall lemma for functions of two variables and its application to fractional higher-order systems of hyperbolic type
- Transversality Conditions for Boundary Constraints Defined by Differential Equations
- Stochastic differential games with random coefficients and state constraints: associated stochastic Hamilton-Jacobi-Bellman-Isaacs equations with Neumann boundary conditions
BibTeX
@misc{gbande2026interception,
title = {{Interception Conditions in Multi-Agent Pursuit Games Governed by Linear Dynamics with Gronwall-type Constraints}},
author = {David Terna. Gbande and Abbas Ja'afaru Badakaya and Mehdi Salimi and Aminu Sulaiman Halliru and Jamilu Adamu},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.30123},
eprint = {2608.30123},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.30123},
}
RIS
TY - UNPB
TI - Interception Conditions in Multi-Agent Pursuit Games Governed by Linear Dynamics with Gronwall-type Constraints
AU - David Terna. Gbande
AU - Abbas Ja'afaru Badakaya
AU - Mehdi Salimi
AU - Aminu Sulaiman Halliru
AU - Jamilu Adamu
PY - 2026
DA - 2026/08/31
PB - arXiv
DO - 10.48550/arxiv.2608.30123
UR - https://arxiv.org/abs/2608.30123
AB - This paper investigates a multi-agent pursuit problem in which a group of pursuers seeks to intercept one or more evaders within a fixed operational time horizon. The motion of both pursuers and evaders is described by first-order linear differential equations, and the control inputs available to the agents are subject to Gronwall-type constraints. Pursuit is considered successful when at least one pursuer reaches the position of each evader at a finite time within the prescribed duration. Within this framework, we construct permissible strategies for the pursuers and derive sufficient conditions under which interception is guaranteed despite the evaders' counteractions. To support the theoretical results, we present numerical examples that demonstrate the effectiveness of the proposed strategies and confirm the analytical conditions for successful pursuit.
ER -