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Distributed Optimization for Second-Order Multi-Agent Systems with Dynamic Event-Triggered Communication
KTH, School of Electrical Engineering and Computer Science (EECS), Automatic Control.
Univ North Texas, Dept Elect Engn, Denton, TX 76203 USA..
Univ North Texas, Dept Elect Engn, Denton, TX 76203 USA..
US Army Res Lab, Adelphi, MD 20783 USA..
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2018 (English)In: 2018 IEEE CONFERENCE ON DECISION AND CONTROL (CDC), IEEE , 2018, p. 3397-3402Conference paper, Published paper (Refereed)
Abstract [en]

In this paper, we propose a fully distributed algorithm for second-order continuous-time multi-agent systems to solve the distributed optimization problem. The global objective function is a sum of private cost functions associated with the individual agents and the interaction between agents is described by a weighted undirected graph. We show the exponential convergence of the proposed algorithm if the underlying graph is connected, each private cost function is locally gradient-Lipschitz- continuous, and the global objective function is restricted strongly convex with respect to the global minimizer. Moreover, to reduce the overall need of communication, we then propose a dynamic event-triggered communication mechanism that is free of Zeno behavior. It is shown that the exponential convergence is achieved if the private cost functions are also globally gradient-Lipschitz- continuous. Numerical simulations are provided to illustrate the effectiveness of the theoretical results.

Place, publisher, year, edition, pages
IEEE , 2018. p. 3397-3402
Series
IEEE Conference on Decision and Control, ISSN 0743-1546
National Category
Computer and Information Sciences
Identifiers
URN: urn:nbn:se:kth:diva-245008DOI: 10.1109/CDC.2018.8618989ISI: 000458114803031Scopus ID: 2-s2.0-85062185418ISBN: 978-1-5386-1395-5 (print)OAI: oai:DiVA.org:kth-245008DiVA, id: diva2:1293705
Conference
57th IEEE Conference on Decision and Control (CDC), DEC 17-19, 2018, Miami Beach, FL
Note

QC 20190305

Available from: 2019-03-05 Created: 2019-03-05 Last updated: 2019-04-11Bibliographically approved

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Yi, XinleiJohansson, Karl H.

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CiteExportLink to record
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  • apa
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  • de-DE
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Output format
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