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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

In this paper, a pursuit-evasion game of two players known as the game of two identical cars is examined. It is assumed that the game proceeds on a two-dimensional plane. Both players have constant speeds and limited turn radii. The goal of…

最优化与控制 · 数学 2022-06-22 Maksim Buzikov , Andrey Galyaev

In this paper an N-pursuer vs. M-evader team conflict is studied. The differential game of border defense is addressed and we focus on the game of degree in the region of the state space where the pursuers are able to win. This work extends…

最优化与控制 · 数学 2019-11-12 Eloy Garcia , David W. Casbeer , Alexander Von Moll , Meir Pachter

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

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

This paper studies a variant of the multi-player reach-avoid game played between intruders and defenders with applications to perimeter defense. The intruder team tries to score by sending as many intruders as possible to the target area,…

系统与控制 · 电气工程与系统科学 2020-06-05 Daigo Shishika , James Paulos , Vijay Kumar

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

In this article an $n$-pursuer versus $m$-evader reach-avoid differential game in 3D space is studied. A team of evaders aim to reach a stationary target while avoiding capture by a team of pursuers. The multiplayer scenario is formulated…

最优化与控制 · 数学 2024-02-06 Abinash Agasti , Puduru Viswanadha Reddy , Bharath Bhikkaji

This paper studies a variant of multi-player reach-avoid game played between intruders and defenders. The intruder team tries to score by sending as many intruders as possible to the target area, while the defender team tries to minimize…

系统与控制 · 电气工程与系统科学 2021-05-04 Daigo Shishika , Vijay Kumar

In this paper we investigate a differential game in which countably many dynamical objects pursue a single one. All the players perform simple motions. The duration of the game is fixed. The controls of a group of pursuers are subject to…

最优化与控制 · 数学 2014-10-10 Mehdi Salimi , Gafurjan Ibragimov , Stefan Siegmund , Somayeh Sharifi

We study a variant of pursuit-evasion game in the context of perimeter defense. In this problem, the intruder aims to reach the base plane of a hemisphere without being captured by the defender, while the defender tries to capture the…

机器人学 · 计算机科学 2021-01-01 Elijah S. Lee , Daigo Shishika , Vijay Kumar

The active target defense differential game is addressed in this paper. In this differential game an Attacker missile pursues a Target aircraft. The aircraft is however aided by a Defender missile launched by, say, the wingman, to intercept…

最优化与控制 · 数学 2015-04-30 Eloy Garcia , David W. Casbeer , Meir Pachter

A fundamental task in mobile robotics is keeping an intelligent agent under surveillance with an autonomous robot as it travels in the environment. This work studies a theoretical version of that problem involving one of the most popular…

机器人学 · 计算机科学 2025-01-09 Ubaldo Ruiz

In the Target-Attacker-Defender (TAD) differential game, an Attacker missile strives to capture a Target aircraft. The Target tries to escape the Attacker and is aided by a Defender missile which aims at intercepting the Attacker before the…

最优化与控制 · 数学 2020-02-12 Eloy Garcia , David W. Casbeer , Meir Pachter

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,…

最优化与控制 · 数学 2025-09-16 Xinyi Zhu , Jiali Wang , Yang Tang , Fangfei Li , Yan Zhu

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 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

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

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

The value of cooperation in pursuit-evasion games is investigated. The considered setting is that of three pursuers chasing one evader in a planar environment. The optimal evader trajectory for a well-known decentralized pursuer strategy is…

最优化与控制 · 数学 2020-01-27 Marco Casini , Andrea Garulli
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