Convex Decreasing Algorithms: Distributed Synthesis and Finite-Time Termination in Higher Dimension

Melbourne, James; Saraswat, Govind; Khatana, Vivek; Patel, Sourav; Salapaka, Murti V.

doi:10.1109/tac.2023.3344721

Title: Convex Decreasing Algorithms: Distributed Synthesis and Finite-Time Termination in Higher Dimension

Journal Article · 19 December 2023 · IEEE Transactions on Automatic Control

DOI: https://doi.org/10.1109/tac.2023.3344721 · OSTI ID:2283937

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University of Minnesota, Minneapolis, MN (United States)
National Renewable Energy Laboratory (NREL), Golden, CO (United States)

Here we establish finite time termination algorithms for consensus algorithms based on geometric properties that yield finite-time guarantees, suited for use in high dimension and in the absence of a central authority. These pursuits motivate a new peer to peer convex hull algorithm which is utilized for one stopping algorithm. Further an alternative lightweight norm based stopping criteria is also developed. The practical utility of the algorithm is illustrated through MATLAB simulations.

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Research Organization:: National Renewable Energy Laboratory (NREL), Golden, CO (United States)

Sponsoring Organization:: USDOE Advanced Research Projects Agency - Energy (ARPA-E); USDOE Office of Energy Efficiency and Renewable Energy (EERE)

Grant/Contract Number:: AC36-08GO28308; AR0000701

OSTI ID:: 2283937

Report Number(s):: NREL/JA-5D00-88723; MainId:89502; UUID:5c5f2ef1-f503-44a1-b5d5-3ee3986d10b5; MainAdminId:71735

Journal Information:: IEEE Transactions on Automatic Control, Journal Name: IEEE Transactions on Automatic Control Journal Issue: 6 Vol. 69; ISSN 0018-9286

Publisher:: IEEECopyright Statement

Country of Publication:: United States

Language:: English

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97 MATHEMATICS AND COMPUTING
24 POWER TRANSMISSION AND DISTRIBUTION
convex hull
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high-dimensional state algorithms
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Title: Convex Decreasing Algorithms: Distributed Synthesis and Finite-Time Termination in Higher Dimension

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