Control For Energy and Sustainability

EPSRC Programme Grant

[PV12] R. Pates and G. Vinnicombe, Stability Certificates for Networks of Heterogeneous Systems, 51st IEEE Conference on Decision and Control, 10-13 Dec 2012 Hawaii, pp6915-6920, 2012


We derive robust, decentralized and scalable stability conditions for networks of heterogeneous linear systems. The results are based on a graphical Nyquist type test which depends only on the frequency responses of an individual system and its nearest neighbours. If every system in the network satisfies such a condition, the network is guaranteed to be stable. The results are suitable for a broad class of networks, allowing arbitrary interconnection asymmetries and heterogeneous multi-input-multi-output (MIMO) systems.