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https://hdl.handle.net/2440/128507
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DC Field | Value | Language |
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dc.contributor.author | Chen, S. | - |
dc.contributor.author | Lim, C.C. | - |
dc.contributor.author | Shi, P. | - |
dc.contributor.author | Lu, Z. | - |
dc.date.issued | 2020 | - |
dc.identifier.citation | SIAM Journal on Control and Optimization, 2020; 58(4):1984-2005 | - |
dc.identifier.issn | 0363-0129 | - |
dc.identifier.issn | 1095-7138 | - |
dc.identifier.uri | http://hdl.handle.net/2440/128507 | - |
dc.description.abstract | This paper explores the design problem of consensus algorithms in a class of convex geometric metric spaces. Using the techniques of convex analysis and possibility analysis, a simple assumption for designing consensus algorithms in a strict max-convex space is proposed, under which all dynamical points in a system achieve consensus asymptotically if and only if their associated interaction graph uniformly contains at least one directed spanning tree. Three efficient consensus algorithms under the assumption are presented, and their applications are demonstrated together with efficiency studies. | - |
dc.description.statementofresponsibility | Sheng Chen, Cheng-Chew Lim, Peng Shi and Zhenyu Lu | - |
dc.language.iso | en | - |
dc.publisher | Society for Industrial and Applied Mathematics | - |
dc.rights | © 2020, Society for Industrial and Applied Mathematics Read More: https://epubs.siam.org/doi/10.1137/19M1237351 | - |
dc.source.uri | http://dx.doi.org/10.1137/19m1237351 | - |
dc.subject | Consensus algorithms; algorithm design; geometric spaces; convex analysis; possibility analysis | - |
dc.title | Asymptotic consensus of dynamical points in a strict max-convex space and its applications | - |
dc.type | Journal article | - |
dc.identifier.doi | 10.1137/19M1237351 | - |
dc.relation.grant | http://purl.org/au-research/grants/arc/DP170102644 | - |
pubs.publication-status | Published | - |
dc.identifier.orcid | Lim, C.C. [0000-0002-2463-9760] | - |
dc.identifier.orcid | Shi, P. [0000-0001-8218-586X] | - |
Appears in Collections: | Aurora harvest 4 Physics publications |
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