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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

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

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

An operational relevant conflict between teams of autonomous vehicles in the Beyond Visual Range domain is addressed in this paper. Optimal strategies are designed in order for a team of air interceptors to protect a high value asset and…

最优化与控制 · 数学 2020-09-23 Eloy Garcia , David W. Casbeer , Dzung Tran , Meir Pachter

This paper studies a target-defense game played between a slow defender and a fast attacker. The attacker wins the game if it reaches the target while avoiding the defender's capture disk. The defender wins the game by preventing the…

系统与控制 · 电气工程与系统科学 2024-03-19 Goutam Das , Michael Dorothy , Zachary I. Bell , Daigo Shishika

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

This paper addresses the active target defense differential game where an Attacker missile pursues a Target aircraft. A Defender missile is fired by the Target's wingman in order to intercept the Attacker before it reaches the aircraft.…

最优化与控制 · 数学 2015-02-11 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

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

We consider a variant of the target defense problem where a single defender is tasked to capture a sequence of incoming intruders. The intruders' objective is to breach the target boundary without being captured by the defender. As soon as…

机器人学 · 计算机科学 2022-12-14 Arman Pourghorban , Michael Dorothy , Daigo Shishika , Alexander Von Moll , Dipankar Maity

A scenario is considered wherein a stationary, turn constrained agent (Turret) and a mobile agent (Defender) cooperate to protect the former from an adversarial mobile agent (Attacker). The Attacker wishes to reach the Turret prior to…

系统与控制 · 电气工程与系统科学 2025-09-15 Alexander Von Moll , Dipankar Maity , Meir Pachter , Daigo Shishika , Michael Dorothy

We consider a surveillance-evasion game in an environment with obstacles. In such an environment, a mobile pursuer seeks to maintain the visibility with a mobile evader, who tries to get occluded from the pursuer in the shortest time…

偏微分方程分析 · 数学 2023-08-28 Carlos Esteve-Yagüe , Richard Tsai

We introduce a problem in which a service vehicle seeks to guard a deadline (boundary) from dynamically arriving mobile targets. The environment is a rectangle and the deadline is one of its edges. Targets arrive continuously over time on…

机器人学 · 计算机科学 2016-11-17 Stephen L. Smith , Shaunak D. Bopardikar , Francesco Bullo

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

We study a patrolling game played on a network $Q$, considered as a metric space. The Attacker chooses a point of $Q$ (not necessarily a node) to attack during a chosen time interval of fixed duration. The Patroller chooses a unit speed…

离散数学 · 计算机科学 2022-09-16 Steve Alpern , Thuy Bui , Thomas Lidbetter , Katerina Papadaki

We address a problem of area protection in graph-based scenarios with multiple mobile agents where connectivity is maintained among agents to ensure they can communicate. The problem consists of two adversarial teams of agents that move in…

多智能体系统 · 计算机科学 2017-09-06 Marika Ivanová , Pavel Surynek , Diep Thi Ngoc Nguyen

We consider a variant of pursuit-evasion games where a single defender is tasked to defend a static target from a sequence of periodically arriving intruders. The intruders' objective is to breach the boundary of a circular target without…

最优化与控制 · 数学 2023-03-13 Arman Pourghorban , Dipankar Maity

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 study a target coverage problem in which a team of sensing agents, operating under limited communication, must collaboratively monitor targets that may be adaptively repositioned by an attacker. We model this interaction as a zero-sum…

系统与控制 · 电气工程与系统科学 2026-03-19 Jayanth Bhargav , Zirui Xu , Vasileios Tzoumas , Mahsa Ghasemi , Shreyas Sundaram

The paper deals with a zero-sum differential game in which the dynamical system is described by a fractional differential equation with the Caputo derivative of an order $\alpha \in (0, 1).$ The goal of the first (second) player is to…

最优化与控制 · 数学 2019-08-06 Mikhail Gomoyunov
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