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20212026
most citedOne Apollonius Circle is Enough for Many Pursuit-Evasion Games

5 citations · 9 across the 15 of their papers we have counts for

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8 papers · 1 filter

math.OC2024

Minimum Time Escape from a Circular Region of a Dubins Car

Isaac E. Weintraub, Alexander Von Moll, Meir Pachter

A turn-constrained evader strives to escape a circular region in minimum time.

math.OC2024★ 1 cited

Pursuit-Evasion on a Sphere and When It Can Be Considered Flat

Dejan Milutinovic, Alexander Von Moll, Satyanarayana G. Manyam +3

In classical works on a planar differential pursuit-evasion game with a faster pursuer, the intercept point resulting from the equilibrium strategies lies on the Apollonius circle.…

math.OC2024

Sampling-Based Risk-Aware Path Planning Around Dynamic Engagement Zones

Artur Wolek, Isaac E. Weintraub, Alexander Von Moll +2

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,…

math.OC2023

Basic Engagement Zones

Alexander Von Moll, Isaac E. Weintraub

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…

math.OC2023

Escape from an Orbiting Pursuer with a Nonzero Capture Radius

Braulio Mora, Alexander Von Moll, Isaac Weintraub +2

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 regi…

math.OC2023

Virtual Target Selection for a Multiple-Pursuer Multiple-Evader Scenario

Isaac E. Weintraub, Alexander Von Moll, David W. Casbeer +1

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…

math.OC2021

An Optimal Engagement Zone Avoidance Scenario in 2-D

Isaac E. Weintraub, Alexander Von Moll, Christian Carrizales +2

In this paper, an optimal control problem is considered where a target vehicle aims to reach a desired location in minimum time while avoiding a dynamic engagement zone. Using simp…

math.OC2021★ 5 cited

One Apollonius Circle is Enough for Many Pursuit-Evasion Games

Michael Dorothy, Dipankar Maity, Daigo Shishika +1

This paper investigates obstacle-free simple motion pursuit-evasion problems where the pursuer is faster and game termination is point capture. It is well known that the interior o…