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Determining "Mixedness" and an Application of Finite-Gain Stability Results to "Mixed" System Interconnections

Griggs, Wynita; Anderson, Brian; Shorten, Robert


A loss of passivity in the face of certain frequency dynamics (eg: high frequency dynamics) given an otherwise passive system leads to the notion of a "mixed" system. A "mixed" system is one that has a concept of small gain associated with it over those frequency intervals where passivity is lost. In this paper, a test for determining "mixedness" for linear, time-invariant systems is provided and several finitegain stability results for interconnections of such systems are presented. The...[Show more]

CollectionsANU Research Publications
Date published: 2010
Type: Conference paper
Source: IEEE Conference on Decision and Control 2010 Proceedings
DOI: 10.1109/CDC.2010.5717593


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