Consensus of Nonlinear Complex Systems with Edge Betweenness Centrality Measure under Time-Varying Sampled-Data Protocol

This paper proposes a new consensus criterion for nonlinear complex systems with edge betweenness centrality measure. By construction of a suitable Lyapunov-Krasovskii functional, the consensus criterion for such systems is established in terms of linear matrix inequalities (LMIs) which can be easil...

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Main Authors: M. J. Park, O. M. Kwon, E. J. Cha
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2015/493907
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author M. J. Park
O. M. Kwon
E. J. Cha
author_facet M. J. Park
O. M. Kwon
E. J. Cha
author_sort M. J. Park
collection DOAJ
description This paper proposes a new consensus criterion for nonlinear complex systems with edge betweenness centrality measure. By construction of a suitable Lyapunov-Krasovskii functional, the consensus criterion for such systems is established in terms of linear matrix inequalities (LMIs) which can be easily solved by various effective optimization algorithms. One numerical example is given to illustrate the effectiveness of the proposed methods.
format Article
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institution Kabale University
issn 2356-6140
1537-744X
language English
publishDate 2015-01-01
publisher Wiley
record_format Article
series The Scientific World Journal
spelling doaj-art-65fd446be0f242159f373f358fe4897a2025-02-03T01:30:15ZengWileyThe Scientific World Journal2356-61401537-744X2015-01-01201510.1155/2015/493907493907Consensus of Nonlinear Complex Systems with Edge Betweenness Centrality Measure under Time-Varying Sampled-Data ProtocolM. J. Park0O. M. Kwon1E. J. Cha2School of Electrical Engineering, Chungbuk National University, 52 Naesudong-ro, Cheongju 361-763, Republic of KoreaSchool of Electrical Engineering, Chungbuk National University, 52 Naesudong-ro, Cheongju 361-763, Republic of KoreaDepartment of Biomedical Engineering, School of Medicine, Chungbuk National University, 52 Naesudong-ro, Cheongju 361-763, Republic of KoreaThis paper proposes a new consensus criterion for nonlinear complex systems with edge betweenness centrality measure. By construction of a suitable Lyapunov-Krasovskii functional, the consensus criterion for such systems is established in terms of linear matrix inequalities (LMIs) which can be easily solved by various effective optimization algorithms. One numerical example is given to illustrate the effectiveness of the proposed methods.http://dx.doi.org/10.1155/2015/493907
spellingShingle M. J. Park
O. M. Kwon
E. J. Cha
Consensus of Nonlinear Complex Systems with Edge Betweenness Centrality Measure under Time-Varying Sampled-Data Protocol
The Scientific World Journal
title Consensus of Nonlinear Complex Systems with Edge Betweenness Centrality Measure under Time-Varying Sampled-Data Protocol
title_full Consensus of Nonlinear Complex Systems with Edge Betweenness Centrality Measure under Time-Varying Sampled-Data Protocol
title_fullStr Consensus of Nonlinear Complex Systems with Edge Betweenness Centrality Measure under Time-Varying Sampled-Data Protocol
title_full_unstemmed Consensus of Nonlinear Complex Systems with Edge Betweenness Centrality Measure under Time-Varying Sampled-Data Protocol
title_short Consensus of Nonlinear Complex Systems with Edge Betweenness Centrality Measure under Time-Varying Sampled-Data Protocol
title_sort consensus of nonlinear complex systems with edge betweenness centrality measure under time varying sampled data protocol
url http://dx.doi.org/10.1155/2015/493907
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AT omkwon consensusofnonlinearcomplexsystemswithedgebetweennesscentralitymeasureundertimevaryingsampleddataprotocol
AT ejcha consensusofnonlinearcomplexsystemswithedgebetweennesscentralitymeasureundertimevaryingsampleddataprotocol