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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

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

This paper presents a booby trap game played between a defender and an attacker on a search space, which may be a compact subset of Euclidean space or a network. The defender has several booby traps and chooses where to plant them. The…

最优化与控制 · 数学 2024-12-03 Thomas Lidbetter , Kyle Lin

This paper proposes an analytical framework for the orbital Target-Attacker-Defender game with a non-maneuvering target along elliptic orbits. Focusing on the linear quadratic game, we derive an analytical solution to the matrix Riccati…

最优化与控制 · 数学 2026-02-02 Shuyue Fu , Shengping Gong , Di Wu , Peng Shi

This paper studies a system security problem in the context of observability based on a two-person noncooperative infinitely repeated game. Both the attacker and the defender have means to modify the dimension of the unobservable subspace,…

最优化与控制 · 数学 2025-06-11 Yueyue Xu , Panpan Zhou , Lin Wang , Zhixin Liu , Xiaoming Hu

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

In this paper we consider a Target-guarding differential game where the Defender must protect a linearly moving line segment by intercepting the Attacker who tries to reach it. In contrast to common Target-guarding problems, we assume that…

系统与控制 · 电气工程与系统科学 2022-07-12 Goutam Das , Daigo Shishika

A defender-attacker-target problem with non-moving target is considered. This problem is modeled by a pursuit-evasion zero-sum differential game with linear dynamics and quadratic cost functional. In this game the pursuer is the defender,…

最优化与控制 · 数学 2018-03-06 Vladimir Turetsky , Valery Y. Glizer

We propose a hybrid approach that combines Hamilton-Jacobi (HJ) reachability and mixed-integer optimization for solving a reach-avoid game with multiple attackers and defenders. The reach-avoid game is an important problem with potential…

系统与控制 · 电气工程与系统科学 2023-09-26 Hanyang Hu , Minh Bui , Mo Chen

The perimeter defense game has received interest in recent years as a variant of the pursuit-evasion game. A number of previous works have solved this game to obtain the optimal strategies for defender and intruder, but the derived theory…

机器人学 · 计算机科学 2021-09-08 Elijah S. Lee , Daigo Shishika , Giuseppe Loianno , Vijay Kumar

We present a model for layered security with applications to the protection of sites such as stadiums or large gathering places. We formulate the problem as one of maximizing the capture of illegal contraband. The objective function is…

其他计算机科学 · 计算机科学 2022-04-20 Tsvetan Asamov , Emre Yamangil , Endre Boros , Paul Kantor , Fred Roberts

This paper studies the problem of defending (1D and 2D) boundaries against a large number of continuous attacks with a heterogeneous group of defenders. The defender team has perfect information of the attack events within some time (finite…

机器人学 · 计算机科学 2023-02-21 Si Wei Feng , Jingjin Yu

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

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

In this paper, we consider a new network security game wherein an attacker and a defender are battling over "multiple" targets. This type of game is appropriate to model many current network security conflicts such as Internet phishing,…

计算机科学与博弈论 · 计算机科学 2022-02-22 Yuedong Xu , John C. S. Lui

In this paper we consider a target-guarding differential game where the defender must protect a linearly translating line-segment by intercepting an attacker who tries to reach it. In contrast to common target-guarding problems, we assume…

系统与控制 · 电气工程与系统科学 2022-09-21 Goutam Das , Michael Dorothy , Zachary I. Bell , Daigo Shishika

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

We address a problem of area protection in graph-based scenarios with multiple agents. The problem consists of two adversarial teams of agents that move in an undirected graph shared by both teams. Agents are placed in vertices of the…

人工智能 · 计算机科学 2017-08-25 Marika Ivanová , Pavel Surynek

This paper investigates the strategic concealment of environment representations used by players in competitive games. We consider a defense scenario in which one player (the Defender) seeks to infer and exploit the representation used by…

多智能体系统 · 计算机科学 2026-03-04 Yue Guan , Dipankar Maity , Panagiotis Tsiotras

In a pursuit-evasion game, a team of pursuers attempt to capture an evader. The players alternate turns, move with equal speed, and have full information about the state of the game. We consider the most restictive capture condition: a…

度量几何 · 数学 2015-05-05 Andrew Beveridge , Yiqing Cai