Decentralised static output feedback stabilisation of networks with H2 performance

In this paper global stabilisation of a complex network is attained 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. Strict positive realness conditions on the node level dynamics allow nonlinearities/uncertainties, which satisfy sector conditions, to be considered. A randomly generated academic example with 10 nodes is used to demonstrate the efficacy of the approach.