CUED Publications database

Global state synchronization in networks of cyclic feedback systems

Hamadeh, A and Stan, G-B and Sepulchre, R and Gonçalves, J (2012) Global state synchronization in networks of cyclic feedback systems. IEEE Transactions on Automatic Control, 57. pp. 478-483. ISSN 0018-9286

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Abstract

This technical note studies global asymptotic state synchronization in networks of identical systems. Conditions on the coupling strength required for the synchronization of nodes having a cyclic feedback structure are deduced using incremental dissipativity theory. The method takes advantage of the incremental passivity properties of the constituent subsystems of the network nodes to reformulate the synchronization problem as one of achieving incremental passivity by coupling. The method can be used in the framework of contraction theory to constructively build a contracting metric for the incremental system. The result is illustrated for a network of biochemical oscillators. © 2011 IEEE.

Item Type: Article
Uncontrolled Keywords: Incremental dissipativity networks of cyclic feedback biochemical oscillators synchrony analysis
Subjects: UNSPECIFIED
Divisions: Div F > Control
Depositing User: Cron Job
Date Deposited: 07 Mar 2014 11:26
Last Modified: 16 Dec 2014 19:07
DOI: 10.1109/TAC.2011.2164015