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A Differential Game Approach to Multi-agent Collision Avoidance
Author(s) -
Thulasi Mylvaganam,
Mario Sassano,
Alessandro Astolfi
Publication year - 2017
Publication title -
ieee transactions on automatic control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.436
H-Index - 294
eISSN - 1558-2523
pISSN - 0018-9286
DOI - 10.1109/tac.2017.2680602
Subject(s) - signal processing and analysis
A multi-agent system consisting of N agents is considered. The problem of steering each agent from its initial position to a desired goal while avoiding collisions with obstacles and other agents is studied. This problem, referred to as the multi-agent collision avoidance problem, is formulated as a differential game. Dynamic feedback strategies that approximate the feedback Nash equilibrium solutions of the differential game are constructed and it is shown that, provided certain assumptions are satisfied, these guarantee that the agents reach their targets while avoiding collisions.

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