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Characterization of robust stability of a class of interconnected systems
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.
2009 (English)In: Automatica, ISSN 0005-1098, Vol. 45, no 1, 217-224 p.Article in journal (Refereed) Published
Abstract [en]

We consider robust stability analysis of a class of large scale interconnected systems. The individual subsystems may be different but they are assumed to share a property that characterizes a set of interconnection matrices which lead to stable overall systems. The main contribution of the paper is to show that, for the case where the network interconnection matrix is normal, (robust) stability verification can be simplified to a low complexity problem of checking whether the frequency response of the individual subsystems and the eigenvalues of the interconnection matrix can be mutually separated using a class of quadratic forms. Most interestingly, it is shown that this criterion is also necessary, in the sense that if the criterion is violated, an interconnection matrix of the same eigenvalue distribution can be found to make the overall system unstable.

Place, publisher, year, edition, pages
2009. Vol. 45, no 1, 217-224 p.
Keyword [en]
Networked control systems, Scalable stability criterion, Robust, stability, Graphical test, internet congestion control, coupled dynamical-systems
Identifiers
URN: urn:nbn:se:kth:diva-18139DOI: 10.1016/j.automatica.2008.06.021ISI: 000262873500028Scopus ID: 2-s2.0-57949113318OAI: oai:DiVA.org:kth-18139DiVA: diva2:336185
Note
QC 20100525Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2011-01-11Bibliographically approved

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