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A 'Mixed' small gain and passivity theorem for an interconnection of linear time-invariant systems

Griggs, Wynita; Anderson, Brian; Lanzon, Alexander

Description

We show that the negative feedback interconnection of two causal, stable, linear time-invariant systems with a 'mixed' small gain and passivity frequency domain property is guaranteed to be finite-gain stable. This 'mixed' small gain and passivity property refers to the characteristic that the frequency range -∞ < ω < ∞ can be divided into intervals for which the two systems in the interconnection are both: a) 'input and output strictly passive' (and one or both of the systems may or may not...[Show more]

CollectionsANU Research Publications
Date published: 2007
Type: Conference paper
URI: http://hdl.handle.net/1885/67844
Source: 2007 European Control Conference, ECC 2007

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