Brief paper: Decentralised static output feedback stabilisation and synchronisation of networks

Authors:
Prathyush P. Menon;Christopher Edwards
Affiliations:
Control & Instrumentation Research Group, Department of Engineering, University of Leicester, Leicester LE1 7RH, UK;Control & Instrumentation Research Group, Department of Engineering, University of Leicester, Leicester LE1 7RH, UK
Venue:
Automatica (Journal of IFAC)
Year:
2009

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Abstract

In this paper global stabilisation of a complex network is attained by applying local decentralised output feedback control to a minimum number of nodes of the network. The stabilisation of the network is treated as a rank constrained problem. Strict positive realness conditions on the node level dynamics allow nonlinearities/uncertainties which satisfy the sector conditions to be considered. A network of Chua oscillators with 75 nodes is considered to demonstrate the efficacy of the approach.