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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.00434 |
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| _version_ | 1866909787589967872 |
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| author | Zhu, Xinyi Wang, Jiali Tang, Yang Li, Fangfei Zhu, Yan |
| author_facet | Zhu, Xinyi Wang, Jiali Tang, Yang Li, Fangfei Zhu, Yan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_00434 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Differential Game with Geometric Formulation for Differential Systems Under Bilateral Perception Constraints Zhu, Xinyi Wang, Jiali Tang, Yang Li, Fangfei Zhu, Yan Optimization and Control 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. |
| title | Differential Game with Geometric Formulation for Differential Systems Under Bilateral Perception Constraints |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2503.00434 |