Differential Game with Geometric Formulation for Differential Systems Under Bilateral Perception Constraints

Xinyi Zhu; Jiali Wang; Yang Tang; Fangfei Li; Yan Zhu

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arXiv · 2503.00434

Differential Game with Geometric Formulation for Differential Systems Under Bilateral Perception Constraints

Xinyi Zhu·Jiali Wang·Yang Tang·Fangfei Li·Yan Zhu

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Abstract

This letter employs differential game theory to address the defense problem of a circular target area with perception constraints, involving a single defender and a single attacker. The defender is restricted to moving along the perimeter, while the mobile attacker aims to make itself to the edge of the circular target to win. We examine a scenario where both the attacker and defender face perception constraints, dividing the interaction into four distinct stages based on detection capabilities and deriving the corresponding optimal control strategies. Simulations are conducted to validate the proposed strategies.

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Xinyi Zhu, Jiali Wang, Yang Tang, Fangfei Li, Yan Zhu. 2025-03-01. Differential Game with Geometric Formulation for Differential Systems Under Bilateral Perception Constraints. https://arxiv.org/abs/2503.00434

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