Title :
Stability certificates for networks of heterogeneous linear systems
Author :
Pates, R. ; Vinnicombe, Glenn
Author_Institution :
Univ. of Cambridge, Cambridge, UK
Abstract :
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.
Keywords :
MIMO systems; frequency response; interconnected systems; linear systems; multivariable systems; robust control; MIMO system; arbitrary interconnection asymmetries; decentralized stability condition; frequency response; graphical Nyquist type test; heterogeneous linear system; heterogeneous multiinput-multioutput system; nearest neighbour; network stability; robust stability condition; scalable stability condition; stability certificate; Bismuth; MIMO; Manganese; Robustness; Stability analysis; Symmetric matrices; Transfer functions;
Conference_Titel :
Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
Conference_Location :
Maui, HI
Print_ISBN :
978-1-4673-2065-8
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2012.6426137
