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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…

Computational Geometry · Computer Science 2014-10-21 Brendan Ames , Andrew Beveridge , Rosalie Carlson , Claire Djang , Volkan Isler , Stephen Ragain , Maxray Savage

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…

Robotics · Computer Science 2021-09-08 Elijah S. Lee , Daigo Shishika , Giuseppe Loianno , Vijay Kumar

We introduce a model of estimation in the presence of strategic, self-interested sensors. We employ a game-theoretic setup to model the interaction between the sensors and the receiver. The cost function of the receiver is equal to the…

Computer Science and Game Theory · Computer Science 2015-06-26 Farhad Farokhi , Andre M. H. Teixeira , Cedric Langbort

This paper investigates the encirclement control problem involving two groups using a non-cooperative differential game approach. The active group seeks to chase and encircle the passive group, while the passive group responds by fleeing…

Optimization and Control · Mathematics 2025-02-28 Panpan Zhou , Yueyue Xu , Yibei Li , Bo Wahlberg , Xiaoming Hu

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…

Optimization and Control · Mathematics 2020-02-12 Eloy Garcia , David W. Casbeer , Meir Pachter

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…

Optimization and Control · Mathematics 2020-09-23 Eloy Garcia , David W. Casbeer , Dzung Tran , Meir Pachter

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…

Robotics · Computer Science 2021-03-30 Leiming Zhang , Amanda Prorok , Subhrajit Bhattacharya

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…

Optimization and Control · Mathematics 2024-02-06 Abinash Agasti , Puduru Viswanadha Reddy , Bharath Bhikkaji

We propose a bio-inspired, agent-based approach to describe the natural phenomenon of group chasing in both two and three dimensions. Using a set of local interaction rules we created a continuous-space and discrete-time model with time…

Biological Physics · Physics 2017-05-24 Milán Janosov , Csaba Virágh , Gábor Vásárhelyi , Tamás Vicsek

Suppose an escaping player ("human") moves continuously at maximum speed $1$ in the interior of a region, while a pursuing player ("zombie") moves continuously at maximum speed $r$ outside the region. For what $r$ can the first player…

Computational Geometry · Computer Science 2025-10-21 Zachary Abel , Hugo Akitaya , Erik D. Demaine , Martin L. Demaine , Adam Hesterberg , Jason S. Ku , Jayson Lynch

Collaborative signal processing and sensor deployment have been among the most important research tasks in target tracking using networked sensors. In this paper, the mathematical model is formulated for single target tracking using mobile…

Mathematical Physics · Physics 2011-08-10 Jiangping Hu , Xiaoming Hu

We present a moving target defense strategy to reduce the impact of stealthy sensor attacks on feedback systems. The defender periodically and randomly switches between thresholds from a discrete set to increase the uncertainty for the…

Systems and Control · Electrical Eng. & Systems 2022-06-02 David Umsonst , Serkan Sarıtaş , György Dán , Henrik Sandberg

We consider linear search for an escaping target whose speed and initial position are unknown to the searcher. A searcher (an autonomous mobile agent) is initially placed at the origin of the real line and can move with maximum speed $1$ in…

Discrete Mathematics · Computer Science 2024-04-24 Jared Coleman , Dmitry Ivanov , Evangelos Kranakis , Danny Krizanc , Oscar Morales-Ponce

We revisit the two-player planar target-defense game initially posed by Isaacs where a pursuer (or defender) attempts to guard a target set from an attack by an evader (or attacker). This paper builds on existing analytical solutions to…

Systems and Control · Electrical Eng. & Systems 2022-04-04 Yoonjae Lee , Efstathios Bakolas

We consider linear search for capturing an oblivious moving target by two autonomous robots with different communicating abilities. Both robots can communicate Face-to-Face (F2F) when co-located but in addition one robot is a Sender (can…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-08 Khaled Jawhar , Evangelos Kranakis

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,…

Optimization and Control · Mathematics 2025-09-16 Xinyi Zhu , Jiali Wang , Yang Tang , Fangfei Li , Yan Zhu

We address the problem of persistent monitoring, where a finite set of mobile agents has to persistently visit a finite set of targets. Each of these targets has an internal state that evolves with linear stochastic dynamics. The agents can…

Systems and Control · Electrical Eng. & Systems 2020-04-23 Samuel C. Pinto , Sean B. Andersson , Julien M. Hendrickx , Christos G. Cassandras

Assume that inside an initial planar area there are smart mobile evaders attempting to avoid detection by a team of sweeping searching agents. All sweepers detect evaders with fan-shaped sensors, modeling the field of view of real cameras.…

Multiagent Systems · Computer Science 2023-05-02 Roee M. Francos , Alfred M. Bruckstein

This paper studies the sensor placement problem in a networked control system for improving its security against cyber-physical attacks. The problem is formulated as a zero-sum game between an attacker and a detector. The attacker's…

Optimization and Control · Mathematics 2018-09-25 Mohammad Pirani , Ehsan Nekouei , Henrik Sandberg , Karl Henrik Johansson

This paper presents a multiplayer Homicidal Chauffeur reach-avoid differential game, which involves Dubins-car pursuers and simple-motion evaders. The goal of the pursuers is to cooperatively protect a planar convex region from the evaders,…

Systems and Control · Electrical Eng. & Systems 2023-12-25 Rui Yan , Xiaoming Duan , Rui Zou , Xin He , Zongying Shi , Francesco Bullo
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