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Extending Small Gain and Passivity Theory For Large-Scale System Interconnections

Griggs, Wynita; Sajja, S Shravan K; Anderson, Brian; Shorten, Robert


In this paper, we use classical Nyquist arguments to derive stability results for large-scale interconnections of mixed linear, time-invariant (LTI) systems. We compare our results with P. J. Moylan and D. J. Hill, Stability criteria for large-scale systems, IEEE Transactions on Automatic Control, vol. 23, no. 2, 1978, pp. 143-149. Our results suggest that, if one relaxes the assumptions on the subsystems in an interconnection from assumptions of passivity or small gain to assumptions of...[Show more]

CollectionsANU Research Publications
Date published: 2012
Type: Conference paper
Source: Proceedings of the American Control Conference 2012


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