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This paper presents a novel strategy for a multi-agent pursuit-evasion game involving multiple faster pursuers with heterogenous speeds and a single slower evader. We define a geometric region, the evader's safe-reachable set, as the…

多智能体系统 · 计算机科学 2025-11-24 Kamal Mammadov , Damith C. Ranasinghe

We propose a decentralized solution for a pursuit-evasion game involving a heterogeneous group of rational (selfish) pursuers and a single evader based on the framework of potential games. In the proposed game, the evader aims to delay (or,…

系统与控制 · 电气工程与系统科学 2021-08-19 Yoonjae Lee , Efstathios Bakolas

This paper investigates obstacle-free simple motion pursuit-evasion problems where the pursuer is faster and game termination is point capture. It is well known that the interior of the Apollonius Circle (AC) is the evader's dominance…

最优化与控制 · 数学 2022-03-24 Michael Dorothy , Dipankar Maity , Daigo Shishika , Alexander Von Moll

This paper considers an M-pursuer N-evader scenario involving virtual targets. The virtual targets serve as an intermediary target for the pursuers, allowing the pursuers to delay their final assignment to the evaders. However, upon…

最优化与控制 · 数学 2023-12-21 Isaac E. Weintraub , Alexander Von Moll , David W. Casbeer , Satyanarayana G. Manyam

In classical works on a planar differential pursuit-evasion game with a faster pursuer, the intercept point resulting from the equilibrium strategies lies on the Apollonius circle. This property was exploited for the construction of the…

This paper studies a 3D multiplayer reach-avoid differential game with a goal region and a play region. Multiple pursuers defend the goal region by consecutively capturing multiple evaders in the play region. The players have heterogeneous…

最优化与控制 · 数学 2020-02-17 Rui Yan , Xiaoming Duan , Zongying Shi , Yisheng Zhong , Francesco Bullo

We consider a pursuit-evasion problem with a heterogeneous team of multiple pursuers and multiple evaders. Although both the pursuers (robots) and the evaders are aware of each others' control and assignment strategies, they do not have…

机器人学 · 计算机科学 2021-03-30 Leiming Zhang , Amanda Prorok , Subhrajit Bhattacharya

We study pursuit-evasion differential games between a faster pursuer moving in 3D space and an evader moving in a plane. We first extend the well-known Apollonius circle to 3D space, by which we construct the isochron for the considered two…

系统与控制 · 电气工程与系统科学 2022-03-01 Shuai Li , Chen Wang , Guangming Xie

This paper addresses a multi-pursuer single-evader pursuit-evasion game where the free-moving evader moves faster than the pursuers. Most of the existing works impose constraints on the faster evader such as limited moving area and moving…

系统与控制 · 电气工程与系统科学 2020-05-19 Xu Fang , Chen Wang , Lihua Xie , Jie Chen

Consider a dynamic task allocation problem, where tasks are unknowingly distributed over an environment. This paper considers each task comprised of two sequential subtasks: detection and completion, where each subtask can only be carried…

多智能体系统 · 计算机科学 2020-03-30 Mehdi Dadvar , Saeed Moazami , Harley R. Myler , Hassan Zargarzadeh

This paper studies a multiplayer reach-avoid differential game in the presence of general polygonal obstacles that block the players' motions. The pursuers cooperate to protect a convex region from the evaders who try to reach the region.…

系统与控制 · 电气工程与系统科学 2024-05-24 Rui Yan , Shuai Mi , Xiaoming Duan , Jintao Chen , Xiangyang Ji

We consider a problem of cooperative evasion between a single pursuer and multiple evaders in which the evaders are constrained to move in the positive Y direction. The evaders are slower than the vehicle and can choose their speeds from a…

系统与控制 · 电气工程与系统科学 2021-07-06 Shivam Bajaj , Eloy Garcia , Shaunak D. Bopardikar

Pursuit-evasion is a multi-agent sequential decision problem wherein a group of agents known as pursuers coordinate their traversal of a spatial domain to locate an agent trying to evade them. Pursuit evasion problems arise in a number of…

机器学习 · 计算机科学 2018-11-13 Zhen Li , Nicholas J. Meyer , Eric B. Laber , Robert Brigantic

We study a pursuit-evasion problem which can be viewed as an extension of the keep-away game. In the game, pursuer(s) will attempt to intersect or catch the evader, while the evader can visit a fixed set of locations, which we denote as the…

机器人学 · 计算机科学 2022-06-17 Weifu Wang , Ping Li

A planar herding problem is considered, where a superior pursuer herds a flock of non-cooperative, inferior evaders around a predefined target point. An inverse square law of repulsion is assumed between the pursuer and each evader. Two…

系统与控制 · 电气工程与系统科学 2025-05-16 Rishabh Kumar Singh , Debraj Chakraborty

We study pursuit-evasion in a polygonal environment with polygonal obstacles. In this turn based game, an evader $e$ is chased by pursuers $p_1, p_2, ..., p_{\ell}$. The players have full information about the environment and the location…

计算几何 · 计算机科学 2014-10-21 Brendan Ames , Andrew Beveridge , Rosalie Carlson , Claire Djang , Volkan Isler , Stephen Ragain , Maxray Savage

This paper investigates a pursuit-evasion problem involving three agents: a pursuer, an evader, and a defender. Cooperative guidance laws are developed for the evader-defender team that guarantee interception of the pursuer by the defender…

系统与控制 · 电气工程与系统科学 2025-09-16 Saurabh Kumar , Shashi Ranjan Kumar , Abhinav Sinha

This work considers a multiplayer reach-avoid game between two adversarial teams in a general convex domain which consists of a target region and a play region. The evasion team, initially lying in the play region, aims to send as many its…

最优化与控制 · 数学 2019-10-22 Rui Yan , Zongying Shi , Yisheng Zhong

We introduce a pursuit game played between a team of a sensor and an attacker and a mobile target in the unbounded Euclidean plane. The target is faster than the sensor, but slower than the attacker. The sensor's objective is to keep the…

系统与控制 · 电气工程与系统科学 2025-09-09 Prajakta Surve , Shaunak D. Bopardikar , Alexander Von Moll , Isaac Weintraub , David W. Casbeer

Pursuit-evasion is the problem of capturing mobile targets with one or more pursuers. We use deep reinforcement learning for pursuing an omni-directional target with multiple, homogeneous agents that are subject to unicycle kinematic…

多智能体系统 · 计算机科学 2021-08-10 Cristino de Souza , Rhys Newbury , Akansel Cosgun , Pedro Castillo , Boris Vidolov , Dana Kulic
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