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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…

Systems and Control · Electrical Eng. & Systems 2022-07-12 Goutam Das , Daigo Shishika

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.…

Systems and Control · Electrical Eng. & Systems 2024-05-24 Rui Yan , Shuai Mi , Xiaoming Duan , Jintao Chen , Xiangyang Ji

We present a framework that incorporates the idea of bounded rationality into dynamic stochastic pursuit-evasion games. The solution of a stochastic game is characterized, in general, by its (Nash) equilibria in feedback form. However,…

Systems and Control · Electrical Eng. & Systems 2020-03-17 Yue Guan , Dipankar Maity , Christopher M. Kroninger , Panagiotis Tsiotras

We study pursuit-evasion differential games between a faster pursuer moving in 3D space and an evader moving in a plane. We first extend the well-known Apollonius circle to 3D space, by which we construct the isochron for the considered two…

Systems and Control · Electrical Eng. & Systems 2022-03-01 Shuai Li , Chen Wang , Guangming Xie

We present a method for pursuit/evasion that is highly efficient and and scales to large teams of aircraft. The underlying algorithm is an efficient algorithm for solving Markov Decision Processes (MDPs) that supports fully continuous state…

Artificial Intelligence · Computer Science 2019-09-11 Joshua R. Bertram , Peng Wei

This paper considers the blocking or football pursuit-evasion differential game. Two pursuers cooperate and try to capture the ball carrying evader as far as possible from the goal line. The evader wishes to be as close as possible to the…

Optimization and Control · Mathematics 2020-06-09 Eloy Garcia , David W. Casbeer , Meir Pachter

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

This paper investigates the application of game-theoretic principles combined with advanced Kalman filtering techniques to enhance maritime target tracking systems. Specifically, the paper presents a two-player, imperfect information,…

Computer Science and Game Theory · Computer Science 2024-10-18 Daniel Leal , Ngoc Hung Nguyen , Alex Skvortsov , Sanjeev Arulampalam , Mahendra Piraveenan

We study a pursuit-evasion problem which can be viewed as an extension of the keep-away game. In the game, pursuer(s) will attempt to intersect or catch the evader, while the evader can visit a fixed set of locations, which we denote as the…

Robotics · Computer Science 2022-06-17 Weifu Wang , Ping Li

We extend the adversarial/non-stochastic multi-play multi-armed bandit (MPMAB) to the case where the number of arms to play is variable. The work is motivated by the fact that the resources allocated to scan different critical locations in…

Machine Learning · Computer Science 2021-10-28 Yiyang Wang , Neda Masoud

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…

Systems and Control · Electrical Eng. & Systems 2022-09-21 Goutam Das , Michael Dorothy , Zachary I. Bell , Daigo Shishika

In this study, we consider a multi-pursuer single-evader quantitative pursuit-evasion game with payoff function that includes only the terminal cost. The terminal cost is a function related only to the terminal position of the evader. This…

Optimization and Control · Mathematics 2026-01-01 Weiwen Huang , Li Liang , Ningsheng Xu , Fang Deng

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…

Optimization and Control · Mathematics 2020-01-27 Marco Casini , Andrea Garulli

This paper studies a planar multiplayer Homicidal Chauffeur reach-avoid differential game, where each pursuer is a Dubins car and each evader has simple motion. The pursuers aim to protect a goal region cooperatively from the evaders. Due…

Computer Science and Game Theory · Computer Science 2021-07-13 Rui Yan , Ruiliang Deng , Haowen Lai , Weixian Zhang , Zongying Shi , Yisheng Zhong

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,…

Optimization and Control · Mathematics 2018-03-06 Vladimir Turetsky , Valery Y. Glizer

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…

Optimization and Control · Mathematics 2015-04-30 Eloy Garcia , David W. Casbeer , Meir Pachter

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

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…

Systems and Control · Electrical Eng. & Systems 2021-05-04 Daigo Shishika , Vijay Kumar

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

Pursuit-evasion games are ubiquitous in nature and in an artificial world. In nature, pursuer(s) and evader(s) are intelligent agents that can learn from experience, and dynamics (i.e., Newtonian or Lagrangian) is vital for the pursuer and…

Systems and Control · Electrical Eng. & Systems 2021-04-06 Hao Xiong , Huanhui Cao , Lin Zhang , Wenjie Lu