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Pursuit-evasion is a multi-agent sequential decision problem wherein a group of agents known as pursuers coordinate their traversal of a spatial domain to locate an agent trying to evade them. Pursuit evasion problems arise in a number of…

Machine Learning · Computer Science 2018-11-13 Zhen Li , Nicholas J. Meyer , Eric B. Laber , Robert Brigantic

This article investigates the practical scenarios of chasing an adversarial evader in an unbounded environment with cluttered obstacles. We propose a Voronoi-based decentralized algorithm for multiple pursuers to encircle and capture the…

Robotics · Computer Science 2023-12-05 Xinyi Wang , Yulong Ding , Yizhou Chen , Ruihua Han , Lele Xi , Ben M. Chen

In this paper, we investigate a pursuit-evasion game in which a mobile observer tries to track a target in an environment containing obstacles. We formulate the game as an optimal control problem with state inequality constraint in a simple…

Optimization and Control · Mathematics 2016-11-16 Rui Zou , Hamid Emadi , Sourabh Bhattacharya

Given a two-dimensional polygonal space, the multi-robot visibility-based pursuit-evasion problem tasks several pursuer robots with the goal of establishing visibility with an arbitrarily fast evader. The best known complete algorithm for…

Robotics · Computer Science 2021-04-12 Trevor Olsen , Anne M. Tumlin , Nicholas M. Stiffler , Jason M. O'Kane

This paper considers a pursuit-evasion scenario among three agents -- an evader, a pursuer, and a defender. We design cooperative guidance laws for the evader and the defender team to safeguard the evader from an attacking pursuer. Unlike…

Systems and Control · Electrical Eng. & Systems 2022-01-19 Abhinav Sinha , Shashi Ranjan Kumar , Dwaipayan Mukherjee

A circular pursuit guidance problem involving pursuer-target engagement is studied in this paper using a bifurcation theory based numerical approach. While target is modeled as a point mass moving around in a circle with certain velocity,…

Systems and Control · Electrical Eng. & Systems 2026-04-13 Kavita Shekhawat , Nandan K Sinha

This paper addresses a critical aerial defense challenge in contested airspace, involving three autonomous aerial vehicles -- a hostile drone (the pursuer), a high-value drone (the evader), and a protective drone (the defender). We present…

Systems and Control · Electrical Eng. & Systems 2025-10-03 Shivam Bajpai , Abhinav Sinha , Shashi Ranjan Kumar

This paper considers an M-pursuer N-evader scenario involving virtual targets. The virtual targets serve as an intermediary target for the pursuers, allowing the pursuers to delay their final assignment to the evaders. However, upon…

Optimization and Control · Mathematics 2023-12-21 Isaac E. Weintraub , Alexander Von Moll , David W. Casbeer , Satyanarayana G. Manyam

In a multi-robot system, a number of autonomous robots would sense, communicate, and decide to move within a given domain to achieve a common goal. In this paper, we consider a new variant of the pursuit-evasion problem in which the robots…

Computational Geometry · Computer Science 2016-08-16 Mohammad Ghodsi , Salma Sadat Mahdavi , Ali Narenji Sheshkalani

This letter proposes a novel continuous-time dynamic programming framework to determine when it is optimal for a pursuer to use MC amidst uncertainty in the evader's escape attempt time. We motivate this framework through the model problem…

Optimization and Control · Mathematics 2024-11-27 Mallory E. Gaspard

The pursuit-evasion problem is widespread in nature, engineering, and societal applications. It is commonly observed in nature that predators often exhibit faster speeds than their prey but have less agile maneuverability. Over millions of…

Systems and Control · Electrical Eng. & Systems 2025-02-10 Panpan Zhou , Sirui Li , Benyun Zhao , Bo Wahlberg , Xiaoming Hu

This paper investigates the difference between the circular and elliptical cases in one-on-one pursuit and evasion problems. Using the simultaneous differential equation derived by Barton and Eliezer, we derive a dynamical system based on…

Optimization and Control · Mathematics 2026-05-25 Sota Yoshihara

Consider a given planar circular region, in which there is an unknown number of smart mobile evaders. We wish to detect evaders using a line formation of sweeping agents whose total sensing length is predetermined. We propose procedures for…

Multiagent Systems · Computer Science 2023-05-16 Roee M. Francos , Alfred M. Bruckstein

We model and analyze a herding problem, where the drivers try to steer the evaders' trajectories while the evaders always move away from the drivers. This problem is motivated by the guidance-by-repulsion model [Escobedo, R., Iba\~nez, A.…

Optimization and Control · Mathematics 2019-11-05 Dongnam Ko , Enrique Zuazua

In this paper, we address pursuit-evasion problems involving multiple pursuers and multiple evaders. The pursuer and the evader teams are assumed to be heterogeneous, in the sense that each team has agents with different speed capabilities.…

Optimization and Control · Mathematics 2020-06-22 Venkata Ramana Makkapati , Panagiotis Tsiotras

We present a guidance by repulsion model based on a driver-evader interaction where the driver, assumed to be faster than the evader, follows the evader but cannot be arbitrarily close to it, and the evader tries to move away from the…

Optimization and Control · Mathematics 2016-04-20 Ramón Escobedo , Aitziber Ibañez , Enrique Zuazua

Many studies on one-on-one pursuit-evasion problems have shown that formulas about the pursuer's trajectory can be solved by supposing three conditions. First, the evader follows specific figures. Second, the pursuer's velocity vector…

Optimization and Control · Mathematics 2024-09-12 Sota Yoshihara

Minimum circle circumnavigation is proposed in this paper, which is of special value in target monitoring, capturing and/or attacking. In this paper, a safe minimum circle circumnavigation of multiple targets based on bearing measurements…

Multiagent Systems · Computer Science 2021-10-12 Chao Wang , Yingjing Shi , Rui Li , Yongduan Song

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,…

Systems and Control · Electrical Eng. & Systems 2021-08-19 Yoonjae Lee , Efstathios Bakolas

We consider the following generalization of the classical pursuit-evasion problem, which we call k-capture. A group of n pursuers (hyenas) wish to capture an evader (lion) who is free to move in an m-dimensional Euclidean space, the…

Computer Science and Game Theory · Computer Science 2011-08-09 Shaunak D. Bopardikar , Subhash Suri