Characterization of robust stability of a class of interconnected systems
2007 (English)In: American Control Conference, 2007. ACC '07, 2007, 784-789 p.Conference paper (Refereed)
We consider robust stability analysis of a class of spatially interconnected systems. The individual subsystems may be different but they are assumed to share some properties that can be characterized by an integral quadratic constraint. 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 simple problem of checking the location of the eigenvalues of the interconnection matrix. Most interestingly, we also identify a class of networks for which this characterization on eigenvalues is necessary and sufficient for robust stability.
Place, publisher, year, edition, pages
2007. 784-789 p.
, Proceedings of the American Control Conference, ISSN 0743-1619
(PL) properties, Eigenvalues (of graphs), Individual (PSS 544-7), Integral quadratic constraint (IQC), Interconnected systems, network interconnections, Robust stability, Robust stability analysis, Stability verification
Other Engineering and Technologies
IdentifiersURN: urn:nbn:se:kth:diva-155263DOI: 10.1109/ACC.2007.4282988ScopusID: 2-s2.0-46449121594ISBN: 1424409888ISBN: 978-142440988-4OAI: oai:DiVA.org:kth-155263DiVA: diva2:766437
2007 American Control Conference, ACC, 9 July 2007 through 13 July 2007, New York, NY, United States
QC 201411272014-11-272014-11-042014-11-27Bibliographically approved