Skip navigation
Skip navigation

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

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 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
Source: 2007 European Control Conference, ECC 2007


There are no files associated with this item.

Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  17 November 2022/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator