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Dependent reachable sets for the constant bearing pursuit strategy

Year: 2026

Type: article

Abstract: This paper introduces a novel reachability problem for the scenario involving two agents, where one agent follows another agent using a feedback strategy. The geometry of the reachable set for an agent, termed dependent reachable set, is characterised using the constant bearing pursuit strategy as a case study. Key theoretical results are presented that provide geometric bounds for the associated dependent reachable set. Simulation results are presented to empirically establish the shape of the dependent reachable set. In the process, an original optimisation problem is formulated and analysed for the constant bearing pursuit strategy.

Source: International Journal of Systems Science

DOI: 10.1080/00207721.2026.2736076

Authors: Venkata Ramana Makkapati, Tulasi Ram Vechalapu, Vinodhini Comandur, Seth Hutchinson

Institutions: Technion – Israel Institute of Technology, University of Colorado Boulder, Northeastern University

Language: English

Topic: Guidance and Control Systems

Subfield: Aerospace Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4416933252

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