Stability certificates for networks of heterogeneous linear systems

Author

Pates, R. ; Vinnicombe, Glenn

Author_Institution

Univ. of Cambridge, Cambridge, UK

fYear

2012

fDate

10-13 Dec. 2012

Firstpage

6915

Lastpage

6920

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control (CDC), 2012 IEEE 51st Annual Conference on

Conference_Location

Maui, HI

ISSN

0743-1546

Print_ISBN

978-1-4673-2065-8

Electronic_ISBN

0743-1546

Type

conf

DOI

10.1109/CDC.2012.6426137

Filename

6426137