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NETWORK SYNCHRONIZATION WITH CONVEXITY.

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Title:	NETWORK SYNCHRONIZATION WITH CONVEXITY.
Authors:	GUODONG SHI¹ guodong.shi@anu.edu.au, PROUTIERE, ALEXANDRE² alepro@kth.se, JOHANSSON, KARL HENRIK¹ kallej@ee.kth.se
Source:	SIAM Journal on Control & Optimization. 2015, Vol. 53 Issue 6, p3562-3583. 22p.
Subjects:	Convex domains, Synchronization, Computer networks, Subgradient methods, Directed graphs, Mathematical models
Abstract:	In this paper, we establish a few new synchronization conditions for complex networks with nonlinear and nonidentical self-dynamics with switching directed communication graphs. In light of the recent works on distributed subgradient methods, we impose integral convexity for the nonlinear node self-dynamics in the sense that the self-dynamics of a given node is the gradient of some concave function corresponding to that node. The node couplings are assumed to be linear but with switching directed communication graphs. Several sufficient and/or necessary conditions are established for exact or approximate synchronization over the considered complex networks. These results show when and how nonlinear node self-dynamics may cooperate with the linear diffusive coupling, which eventually leads to network synchronization conditions under relaxed connectivity requirements. [ABSTRACT FROM AUTHOR]
	Copyright of SIAM Journal on Control & Optimization is the property of Society for Industrial & Applied Mathematics and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database:	Engineering Source

FullText	Text: Availability: 0
Header	DbId: egs DbLabel: Engineering Source An: 112319578 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0
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Items	– Name: Title Label: Title Group: Ti Data: NETWORK SYNCHRONIZATION WITH CONVEXITY. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22GUODONG+SHI%22">GUODONG SHI</searchLink><relatesTo>1</relatesTo><i> guodong.shi@anu.edu.au</i><br /><searchLink fieldCode="AR" term="%22PROUTIERE%2C+ALEXANDRE%22">PROUTIERE, ALEXANDRE</searchLink><relatesTo>2</relatesTo><i> alepro@kth.se</i><br /><searchLink fieldCode="AR" term="%22JOHANSSON%2C+KARL+HENRIK%22">JOHANSSON, KARL HENRIK</searchLink><relatesTo>1</relatesTo><i> kallej@ee.kth.se</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22SIAM+Journal+on+Control+%26+Optimization%22">SIAM Journal on Control & Optimization</searchLink>. 2015, Vol. 53 Issue 6, p3562-3583. 22p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Convex+domains%22">Convex domains</searchLink><br /><searchLink fieldCode="DE" term="%22Synchronization%22">Synchronization</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+networks%22">Computer networks</searchLink><br /><searchLink fieldCode="DE" term="%22Subgradient+methods%22">Subgradient methods</searchLink><br /><searchLink fieldCode="DE" term="%22Directed+graphs%22">Directed graphs</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+models%22">Mathematical models</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In this paper, we establish a few new synchronization conditions for complex networks with nonlinear and nonidentical self-dynamics with switching directed communication graphs. In light of the recent works on distributed subgradient methods, we impose integral convexity for the nonlinear node self-dynamics in the sense that the self-dynamics of a given node is the gradient of some concave function corresponding to that node. The node couplings are assumed to be linear but with switching directed communication graphs. Several sufficient and/or necessary conditions are established for exact or approximate synchronization over the considered complex networks. These results show when and how nonlinear node self-dynamics may cooperate with the linear diffusive coupling, which eventually leads to network synchronization conditions under relaxed connectivity requirements. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of SIAM Journal on Control & Optimization is the property of Society for Industrial & Applied Mathematics and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo	BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1137/130950811 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 22 StartPage: 3562 Subjects: – SubjectFull: Convex domains Type: general – SubjectFull: Synchronization Type: general – SubjectFull: Computer networks Type: general – SubjectFull: Subgradient methods Type: general – SubjectFull: Directed graphs Type: general – SubjectFull: Mathematical models Type: general Titles: – TitleFull: NETWORK SYNCHRONIZATION WITH CONVEXITY. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: GUODONG SHI – PersonEntity: Name: NameFull: PROUTIERE, ALEXANDRE – PersonEntity: Name: NameFull: JOHANSSON, KARL HENRIK IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 11 Text: 2015 Type: published Y: 2015 Identifiers: – Type: issn-print Value: 03630129 Numbering: – Type: volume Value: 53 – Type: issue Value: 6 Titles: – TitleFull: SIAM Journal on Control & Optimization Type: main
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