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This letter presents a density function based safe control synthesis framework for the pursuit-evasion problem. We extend safety analysis to dynamic unsafe sets by formulating a reach-avoid type pursuit-evasion differential game as a robust…

最优化与控制 · 数学 2025-05-22 Mustafa Bozdag , Arya Honarpisheh , Mario Sznaier

In this paper, we consider the problem of controlling an underactuated system in unknown, and potentially adversarial environments. The emphasis will be on autonomous aerial vehicles, modelled by Dubins dynamics. The proposed control law is…

多智能体系统 · 计算机科学 2019-09-04 Shashwat Shivam , Aris Kanellopoulos , Kyriakos G. Vamvoudakis , Yorai Wardi

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…

机器学习 · 计算机科学 2021-10-28 Yiyang Wang , Neda Masoud

We consider a hide-and-seek game between a Hider and a Seeker over a finite set of locations. The Hider chooses one location to conceal a stationary treasure, while the Seeker visits the locations sequentially along a route. As the search…

系统与控制 · 电气工程与系统科学 2026-03-31 Prajakta Surve , Shaunak D. Bopardikar , Daigo Shishika , Dipankar Maity , Michael Dorothy

We consider a scenario where a team of two unmanned aerial vehicles (UAVs) pursue an evader UAV within an urban environment. Each agent has a limited view of their environment where buildings can occlude their field-of-view. Additionally,…

多智能体系统 · 计算机科学 2025-11-13 Addison Kalanther , Daniel Bostwick , Chinmay Maheshwari , Shankar Sastry

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…

最优化与控制 · 数学 2024-02-06 Abinash Agasti , Puduru Viswanadha Reddy , Bharath Bhikkaji

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

Two-player pursuit-evasion differential game and time optimal zero control problem in $\ell^2$ are considered. Optimal control for the corresponding zero control problem is found. A strategy for the pursuer that guarantees the solution for…

最优化与控制 · 数学 2023-02-06 Marks Ruziboev , Khudoyor Mamayusupov , Gafurjan Ibragimov , Adkham Khaitmetov

In active visual tracking, it is notoriously difficult when distracting objects appear, as distractors often mislead the tracker by occluding the target or bringing a confusing appearance. To address this issue, we propose a mixed…

计算机视觉与模式识别 · 计算机科学 2021-06-21 Fangwei Zhong , Peng Sun , Wenhan Luo , Tingyun Yan , Yizhou Wang

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…

系统与控制 · 电气工程与系统科学 2022-04-04 Yoonjae Lee , Efstathios Bakolas

In this paper, we present a game-theoretic feedback terminal guidance law for an autonomous, unpowered hypersonic pursuit vehicle that seeks to intercept an evading ground target whose motion is constrained in a one-dimensional space. We…

系统与控制 · 电气工程与系统科学 2022-01-14 Yoonjae Lee , Efstathios Bakolas , Maruthi R. Akella

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…

机器人学 · 计算机科学 2022-06-17 Weifu Wang , Ping Li

The interdiction of escaping adversaries in urban networks is a critical security challenge. State-of-the-art game-theoretic models, such as the Escape Interdiction Game (EIG), provide comprehensive frameworks but assume a highly dynamic…

数据结构与算法 · 计算机科学 2025-10-07 Sukanya Samanta , Manohar Reddy

The cops-and-robber (CR) game has been used in mobile robotics as a discretized model (played on a graph G) of pursuit/evasion problems. The "classic" CR version is a perfect information game: the cops' (pursuer's) location is always known…

离散数学 · 计算机科学 2014-02-26 Athanasios Kehagias , Dieter Mitsche , Pawel Pralat

Considering uncertainties and disturbances is an important, yet challenging, step in successful decision making. The problem becomes more challenging in safety-constrained environments. In this paper, we propose a robust and safe trajectory…

系统与控制 · 电气工程与系统科学 2022-03-29 Hassan Almubarak , Evangelos A. Theodorou , Nader Sadegh

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…

计算机科学与博弈论 · 计算机科学 2021-07-13 Rui Yan , Ruiliang Deng , Haowen Lai , Weixian Zhang , Zongying Shi , Yisheng Zhong

We propose a novel formulation for approximating reachable sets through a minimum discounted reward optimal control problem. The formulation yields a continuous solution that can be obtained by solving a Hamilton-Jacobi equation.…

最优化与控制 · 数学 2018-09-05 Anayo K. Akametalu , Shromona Ghosh , Jaime F. Fisac , Claire J. Tomlin

A new framework for formulating reachability problems with competing inputs, nonlinear dynamics and state constraints as optimal control problems is developed. Such reach-avoid problems arise in, among others, the study of safety problems…

最优化与控制 · 数学 2009-11-25 Kostas Margellos , John Lygeros

We present two zero-sum games modeling situations where one player attacks (or hides in) a finite dimensional nonempty compact set, and the other tries to prevent the attack (or find him). The first game, called patrolling game, corresponds…

最优化与控制 · 数学 2019-07-03 Tristan Garrec

A variety of practical problems can be modeled by the decision-making process in multi-player games where a group of self-interested players aim at optimizing their own local objectives, while the objectives depend on the actions taken by…

最优化与控制 · 数学 2023-01-09 Yuanhanqing Huang , Jianghai Hu