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2013 H-Based Pinning Synchronization of General Complex Dynamical Networks with Coupling Delays
Bowen Du, Dianfu Ma
J. Appl. Math. 2013: 1-8 (2013). DOI: 10.1155/2013/275205

Abstract

This paper investigates the synchronization of complex dynamical networks with coupling delays and external disturbances by applying local feedback injections to a small fraction of nodes in the whole network. Based on H control theory, some delay-independent and -dependent synchronization criteria with a prescribed H disturbances attenuation index are derived for such controlled networks in terms of linear matrix inequalities (LMIs), which guarantee that by placing a small number of feedback controllers on some nodes, the whole network can be pinned to reach network synchronization. A simulation example is included to validate the theoretical results.

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Bowen Du. Dianfu Ma. "H-Based Pinning Synchronization of General Complex Dynamical Networks with Coupling Delays." J. Appl. Math. 2013 1 - 8, 2013. https://doi.org/10.1155/2013/275205

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 1266.93038
MathSciNet: MR3056200
Digital Object Identifier: 10.1155/2013/275205

Rights: Copyright © 2013 Hindawi

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