Determining "Mixedness" and an Application of Finite-Gain Stability Results to "Mixed" System Interconnections
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Griggs, Wynita; Anderson, Brian; Shorten, Robert
Description
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]
dc.contributor.author | Griggs, Wynita | |
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dc.contributor.author | Anderson, Brian | |
dc.contributor.author | Shorten, Robert | |
dc.coverage.spatial | Atlanta USA | |
dc.date.accessioned | 2015-12-10T22:54:00Z | |
dc.date.created | December 15-17 2010 | |
dc.identifier.isbn | 9781424477449 | |
dc.identifier.uri | http://hdl.handle.net/1885/59603 | |
dc.description.abstract | 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 "mixedness" test involves examining the spectral characteristics of two Hamiltonian matrices, one associated with the passive aspects of the system and one associated with the notion of small gain. The finite-gain stability results are derived using a dissipative systems framework. | |
dc.publisher | Institute of Electrical and Electronics Engineers (IEEE Inc) | |
dc.relation.ispartofseries | IEEE Conference on Decision and Control 2010 | |
dc.source | IEEE Conference on Decision and Control 2010 Proceedings | |
dc.subject | Keywords: Dissipative systems; Frequency dynamics; Frequency intervals; Gain stability; Hamiltonian matrix; High frequency dynamics; Mixedness; Passive systems; Small gain; Spectral characteristics; Stability results; System interconnections; Time invariant systems | |
dc.title | Determining "Mixedness" and an Application of Finite-Gain Stability Results to "Mixed" System Interconnections | |
dc.type | Conference paper | |
local.description.notes | Imported from ARIES | |
local.description.refereed | Yes | |
dc.date.issued | 2010 | |
local.identifier.absfor | 010203 - Calculus of Variations, Systems Theory and Control Theory | |
local.identifier.ariespublication | u4334215xPUB499 | |
local.type.status | Published Version | |
local.contributor.affiliation | Griggs, Wynita, National University of Ireland | |
local.contributor.affiliation | Anderson, Brian, College of Engineering and Computer Science, ANU | |
local.contributor.affiliation | Shorten, Robert, National University of Ireland | |
local.description.embargo | 2037-12-31 | |
local.bibliographicCitation.startpage | 714 | |
local.bibliographicCitation.lastpage | 719 | |
local.identifier.doi | 10.1109/CDC.2010.5717593 | |
local.identifier.absseo | 970109 - Expanding Knowledge in Engineering | |
dc.date.updated | 2016-02-24T11:01:25Z | |
local.identifier.scopusID | 2-s2.0-79953144593 | |
local.identifier.thomsonID | 000295049100117 | |
Collections | ANU Research Publications |
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