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A Scalable Robust Stability Criterion for Systems With Heterogeneous LTI Components
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.
2010 (English)In: IEEE Transactions on Automatic Control, ISSN 0018-9286, E-ISSN 1558-2523, Vol. 55, no 10, 2219-2234 p.Article in journal (Refereed) Published
Abstract [en]

A scalable robust stability criterion for interconnected systems with heterogeneous linear time-invariant components is presented in this paper. The criterion involves only the properties of individual components and the spectrum of the interconnection matrix, which can be verified with relatively low computational effort, and more importantly maintains scalability of the analysis. Our main result shows that if the components are single-input-single-output (SISO), then the criterion has an appealing graphical interpretation which resembles the classical Nyquist criterion.

Place, publisher, year, edition, pages
2010. Vol. 55, no 10, 2219-2234 p.
Keyword [en]
Networks, Nyquist criterion, robust control
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-26271DOI: 10.1109/TAC.2010.2043291ISI: 000283362600001Scopus ID: 2-s2.0-77957692413OAI: oai:DiVA.org:kth-26271DiVA: diva2:387580
Note
QC 20110114Available from: 2011-01-14 Created: 2010-11-21 Last updated: 2017-12-11Bibliographically approved

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