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This work derives two basic engagement zone models, describing regions of potential risk or capture for a mobile vehicle by a pursuer. The pursuer is modeled as having turn-constraints rather than simple motion. Turn-only (C-Paths) and…

Optimization and Control · Mathematics 2025-02-04 Thomas Chapman , Isaac E. Weintraub , Alexander Von Moll , Eloy Garcia

This paper establishes a more formal definition for an Engagement Zone (EZ) and derives some basic EZs associated with fundamental engagement models associated with pursuit-evasion and turret-evasion. The basic EZs presented in this paper…

Optimization and Control · Mathematics 2023-11-13 Alexander Von Moll , Isaac E. Weintraub

This paper presents a learning-based framework for estimating pursuer parameters in turn-rate-limited pursuit-evasion scenarios using sacrificial agents. Each sacrificial agent follows a straight-line trajectory toward an adversary and…

Robotics · Computer Science 2026-02-17 Grant Stagg , Cameron K. Peterson

Existing methods for avoiding dynamic engagement zones (EZs) and minimizing risk leverage the calculus of variations to obtain optimal paths. While such methods are deterministic, they scale poorly as the number of engagement zones…

Optimization and Control · Mathematics 2024-03-11 Artur Wolek , Isaac E. Weintraub , Alexander Von Moll , David Casbeer , Satyanarayana G. Manyam

This paper presents an input-constrained nonlinear guidance law to address the problem of intercepting a stationary target in contested environments with multiple defending agents. Contrary to prior approaches that rely on explicit…

Systems and Control · Electrical Eng. & Systems 2025-09-30 Praveen Kumar Ranjan , Abhinav Sinha , Yongcan Cao

This paper investigates a pursuit-evasion problem involving three agents: a pursuer, an evader, and a defender. Cooperative guidance laws are developed for the evader-defender team that guarantee interception of the pursuer by the defender…

Systems and Control · Electrical Eng. & Systems 2025-09-16 Saurabh Kumar , Shashi Ranjan Kumar , Abhinav Sinha

We address target interception in contested environments in the presence of multiple defenders whose interception capability is limited by finite ranges. Conventional methods typically impose conservative stand-off constraints based on…

Systems and Control · Electrical Eng. & Systems 2026-03-26 Praveen Kumar Ranjan , Abhinav Sinha , Yongcan Cao

Balancing safety and efficiency when planning in crowded scenarios with uncertain dynamics is challenging where it is imperative to accomplish the robot's mission without incurring any safety violations. Typically, chance constraints are…

Robotics · Computer Science 2023-02-22 Khaled A. Mustafa , Oscar de Groot , Xinwei Wang , Jens Kober , Javier Alonso-Mora

This paper examines the degree to which an evader seeking a safe and efficient path to a target location can benefit from increasing levels of knowledge regarding one or more range-limited pursuers seeking to intercept it. Unlike previous…

Optimization and Control · Mathematics 2025-12-23 Thomas Chapman , Alexander Von Moll , Isaac E. Weintraub

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…

Data Structures and Algorithms · Computer Science 2025-10-07 Sukanya Samanta , Manohar Reddy

This paper explores a multi-agent containment problem, where a fast evader, modeled having constant speed and using constant heading, attempts to escape a circular containment region that is orbited by a slower pursuer with a nonzero…

Optimization and Control · Mathematics 2023-10-03 Braulio Mora , Alexander Von Moll , Isaac Weintraub , David Casbeer , Animesh Chakravarthy

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

This paper investigates the problem of computing a two-dimensional optimal curvature straight line (CS) shortest path for an unmanned aerial vehicle (UAV) to intercept a moving target, with both the UAV (pursuer) and target travelling at…

Optimization and Control · Mathematics 2025-07-03 Masuda Akter , Mohammed Mustafa Rizvi

We consider a task of surveillance-evading path-planning in a continuous setting. An Evader strives to escape from a 2D domain while minimizing the risk of detection (and immediate capture). The probability of detection is path-dependent…

Machine Learning · Computer Science 2023-02-24 Dongping Qi , David Bindel , Alexander Vladimirsky

Given a mapped environment, we formulate the problem of visually tracking and following an evader using a probabilistic framework. In this work, we consider a non-holonomic robot with a limited visibility depth sensor in an indoor…

Robotics · Computer Science 2019-04-23 Varun Chandra Jammula , Anshul Rai , Yezhou Yang

Navigating teams of unmanned vehicles through environments containing dynamic, adversarial Weapon Engagement Zones~(WEZs) poses a fundamental challenge to mission success: a single vehicle, however capable its onboard guidance, remains a…

Multiagent Systems · Computer Science 2026-05-26 Rajnikant Sharma , Abhinav Sinha , Isaac Weintraub

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

This paper investigates the pursuit-evasion problem of a defensive gun turret and one or more attacking drones. The turret must ``visit" each attacking drone once, as quickly as possible, to defeat the threat. This constitutes a Shortest…

Robotics · Computer Science 2021-07-28 Daniel Biediger , Luben Popov , Aaron T. Becker

We consider a problem of cooperative evasion between a single pursuer and multiple evaders in which the evaders are constrained to move in the positive Y direction. The evaders are slower than the vehicle and can choose their speeds from a…

Systems and Control · Electrical Eng. & Systems 2021-07-06 Shivam Bajaj , Eloy Garcia , Shaunak D. Bopardikar

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…

Multiagent Systems · Computer Science 2025-11-24 Kamal Mammadov , Damith C. Ranasinghe
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