Distributed optimization algorithm for discrete-time heterogeneous multi-agent systems with nonuniform stepsizes

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dc.contributor.authorMo, L.
dc.contributor.authorLi, J.
dc.contributor.authorHuang, Jian
dc.contributor.funderBeijing Educational Committee Foundationen
dc.contributor.funderBeijing Municipal Natural Science Foundationen
dc.contributor.funderNational Natural Science Foundation of Chinaen
dc.date.accessioned2019-09-26T11:56:23Z
dc.date.available2019-09-26T11:56:23Z
dc.date.issued2019-06-27
dc.description.abstractThis paper is devoted to the distributed optimization problem of heterogeneous multi-agent systems, where the communication topology is jointly strongly connected and the dynamics of each agent is the first-order or second-order integrator. A new distributed algorithm is first designed for each agent based on the local objective function and the local neighbors' information that each agent can access. By a model transformation, the original closed-loop system is converted into a time-varying system and the system matrix of which is a stochastic matrix at any time. Then, by the properties of the stochastic matrix, it is proven that all agents' position states can converge to the optimal solution of a team objective function provided the union communication topology is strongly connected. Finally, the simulation results are provided to verify the effectiveness of the distributed algorithm proposed in this paper.en
dc.description.sponsorshipBeijing Educational Committee Foundation (Grant KM201910011007, PXM2019_014213 _000007);Beijing Natural Science Foundation (Grant Z180005); National Natural Science Foundation of China (Grant 61772063).en
dc.description.statusPeer revieweden
dc.description.versionPublished Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationMo, L., Li, J. and Huang, J. (2019) 'Distributed Optimization Algorithm for Discrete-Time Heterogeneous Multi-Agent Systems With Nonuniform Stepsizes', IEEE Access, 87303-87312. (7pp.) DOI: 10.1109/ACCESS.2019.2925414en
dc.identifier.doi10.1109/ACCESS.2019.2925414en
dc.identifier.eissn2169-3536
dc.identifier.endpage87312en
dc.identifier.journaltitleIEEE Accessen
dc.identifier.startpage87303en
dc.identifier.urihttps://hdl.handle.net/10468/8623
dc.identifier.volume7en
dc.language.isoenen
dc.publisherInstitute of Electrical and Electronics Engineers Inc.en
dc.relation.urihttps://ieeexplore.ieee.org/document/8747511
dc.rights© The Author(s) 2019. This work is licensed under a Creative Commons Attribution 3.0 License. For more information, see http://creativecommons.org/licenses/by/3.0/en
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/en
dc.subjectClosed loop systemsen
dc.subjectDiscrete time systemsen
dc.subjectDistributed controlen
dc.subjectMatrix algebraen
dc.subjectMulti-agent systemsen
dc.subjectOptimisationen
dc.subjectStochastic processesen
dc.subjectTime-varying systemsen
dc.subjectCommunication topologyen
dc.subjectNonuniform stepsizesen
dc.subjectDiscrete-time heterogeneous multiagent systemsen
dc.subjectStochastic matrixen
dc.subjectSystem matrixen
dc.subjectTime-varying systemen
dc.subjectLocal objective functionen
dc.subjectDistributed optimization algorithimen
dc.subjectOptimizationen
dc.subjectLinear programmingen
dc.subjectDistributed algorithimsen
dc.subjectLaplace equationsen
dc.subjectTopologyen
dc.subjectDistributed optimizationen
dc.subjectHeterogeneousen
dc.titleDistributed optimization algorithm for discrete-time heterogeneous multi-agent systems with nonuniform stepsizesen
dc.typeArticle (peer-reviewed)en
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