Static output feedback stabilisation and synchronisation of complex networks with H2 performance

In this paper global stabilisation of a complex network is obtained by applying local decentralised static output feedback control, ensuring guaranteed bounds on quadratic performance Necessary conditions for stabilisation of a complex network with quadratic performance are derived as a convex LMI representation In addition, a centralised static output feedback controller is designed and its quadratic performance is compared with that of the decentralised one Strict positive realness conditions on the node level dynamics allow nonlinearities/uncertainties. which satisfy sector conch toils, to be considered Two examples are used to demonstrate the efficacy of the approach The first one is a randomly generated academic example with 10 nodes The second example is based on a network formed from the interconnection of 20 Chua circuits In both cases controllers ate developed with H-2 bounded performance using only measured output information Copyright (C) 2009 John Wiley & Sons, Ltd