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On interconnections of "mixed" systems using classical stability theory

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

Description

In this paper, we derive stability results for large-scale interconnections of "mixed" linear, time-invariant systems using classical Nyquist arguments. We compare our results with Moylan and Hill (1978) [8]. Our results indicate that, if one relaxes assumptions on the subsystems in an interconnection from assumptions of passivity or small gain to assumptions of "mixedness," then the Moylan and Hill-like conditions on the interconnection matrix become more stringent. Finally, we explore a...[Show more]

CollectionsANU Research Publications
Date published: 2012
Type: Journal article
URI: http://hdl.handle.net/1885/64886
Source: Systems and Control Letters
DOI: 10.1016/j.sysconle.2012.02.014

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