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A "mixed" small gain and passivity theorem in the frequency domain

Griggs, Wynita; Anderson, Brian; Lanzon, Alexander


We show that the negative feedback interconnection of two causal, stable, linear time-invariant systems, with a "mixed" small gain and passivity property, is guaranteed to be finite-gain stable. This "mixed" small gain and passivity property refers to the characteristic that, at a particular frequency, systems in the feedback interconnection are either both "input and output strictly passive"; or both have "gain less than one"; or are both "input and output strictly passive" and simultaneously...[Show more]

CollectionsANU Research Publications
Date published: 2007
Type: Journal article
Source: Systems and Control Letters
DOI: 10.1016/j.sysconle.2007.04.005


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