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相关论文: Two-Dimensional Pursuit-Evasion in a Compact Domai…

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The pursuit-evasion game with two persons is considered. Both players are moving in a metric space, have equal maximum speeds and complete information about the location of each other. We study the sufficient conditions for a capture (with…

最优化与控制 · 数学 2017-12-15 Olga Yufereva

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

We study a pursuit-evasion differential game with finite number of pursuers and one evader in Hilbert space with geometric constraints on the control functions of players. We solve the game by presenting explicit strategies for pursuers…

最优化与控制 · 数学 2015-06-03 Mehdi Salimi , Massimiliano Ferrara

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

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 pursuit-evasion differential game with a Hybrid system of dynamics in Hilbert space with integral constraints on the control functions of players. We show that the pursuer has a winning strategy.

最优化与控制 · 数学 2020-07-17 Mehdi Salimi

The pursuit-evasion game is studied for two adversarial active agents, modelled as a deterministic self-steering pursuer and a stochastic, cognitive evader. The pursuer chases the evader by reorienting its propulsion direction with limited…

生物物理 · 物理学 2026-05-29 Segun Goh , Dennis Haustein , Gerhard Gompper

We consider a pursuit-evasion scenario involving a group of pursuers and a single evader in a two-dimensional unbounded environment. The pursuers aim to capture the evader in finite time while ensuring the evader remains enclosed within the…

系统与控制 · 电气工程与系统科学 2026-05-25 Dinesh Patra , Prajakta Surve , Ashish R. Hota , Shaunak D. Bopardikar

Suppose an unpredictable evader is free to move around in a polygonal environment of arbitrary complexity that is under full camera surveillance. How many pursuers, each with the same maximum speed as the evader, are necessary and…

计算机科学与博弈论 · 计算机科学 2011-10-24 Kyle Klein , Subhash Suri

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

Pursuit-evasion scenarios appear widely in robotics, security domains, and many other real-world situations. We focus on two-player pursuit-evasion games with concurrent moves, infinite horizon, and discounted rewards. We assume that the…

计算机科学与博弈论 · 计算机科学 2016-08-05 Karel Horák , Branislav Bošanský

We consider a class of pursuit-evasion differential games in which the evader has continuous access to the pursuer's location, but not vice-versa. There is a remote sensor (e.g., a radar station) that can sense the evader's location upon a…

系统与控制 · 电气工程与系统科学 2023-07-04 Dipankar Maity

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 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 study a simple motion differential game of many pursuers and one evader in the plane. We give a nonempty closed convex set in the plane, and the pursuers and evader move on this set. They cannot leave this set during the game. Control…

最优化与控制 · 数学 2015-05-04 Idham Arif Alias , Gafurjan Ibragimov , Massimiliano Ferrara , Mehdi Salimi , Mansor Monsi

We study a pursuit-evasion game between a double integrator-driven pursuer with bounded velocity and bounded acceleration and a single integrator-driven evader with bounded velocity in a two-dimensional plane. The pursuer's goal is to…

系统与控制 · 电气工程与系统科学 2025-08-05 Zehua Zhao , Rui Yan , Jianping He , Xinping Guan , Xiaoming Duan

We consider the Lion and Man game, i.e., a two-person pursuit-evasion game with equal players' top speeds. We assume that capture radius is positive and chosen in advance. The main aim of the paper is describing pursuer's winning strategies…

最优化与控制 · 数学 2019-08-01 Olga Yufereva

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

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 a reach-avoid differential game in three-dimensional space with four equal-speed players. A plane divides the game space into a play subspace and a goal subspace. The evader aims at entering the goal subspace while…

最优化与控制 · 数学 2019-04-08 Rui Yan , Zongying Shi , Yisheng Zhong
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