Non-conservative dissipativity and small-gain conditions for stability analysis of interconnected systems

R.H. Gielen, M. Lazar

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

11 Citations (Scopus)
2 Downloads (Pure)

Abstract

Classical dissipativity and small-gain theory provide computationally tractable, but conservative methods to analyze stability of interconnected systems. In this paper, we propose a relaxation of the standard dissipativity and small-gain inequalities and prove that the corresponding conditions are necessary and sufficient for stability of interconnected systems. Thus, non-conservative conditions for stability of interconnected systems are obtained which are computationally tractable, as it is illustrated via a simple example. A further relaxation of the results is indicated for interconnected positive linear systems along with several other extensions.
Original languageEnglish
Title of host publicationProceedings of the 51st IEEE Conference on Decision and Control (CDC 2012), 10-13 December 2012, Maui, Hawai
Place of PublicationPiscataway
PublisherInstitute of Electrical and Electronics Engineers
Pages4187-4192
ISBN (Print)978-1-4673-2064-1
DOIs
Publication statusPublished - 2012
Event51st IEEE Conference on Decision and Control (CDC 2012) - Maui, United States
Duration: 10 Dec 201213 Dec 2012
Conference number: 51

Conference

Conference51st IEEE Conference on Decision and Control (CDC 2012)
Abbreviated titleCDC 2012
Country/TerritoryUnited States
CityMaui
Period10/12/1213/12/12

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