Sum of squares solutions assuring non-quadratic discrete stability

Ji Chang Lo, Jhen Shun Kao

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

1 Scopus citations

Abstract

A new stability condition in terms of SOS is studied in this paper for discrete-time fuzzy systems. Based on a parameter-dependent Lyapunov function, we study asymptotically SOS relaxation families, reducing the conservatism that commonly exists in the quadratic stability approaches.

Original languageEnglish
Title of host publicationFUZZ 2011 - 2011 IEEE International Conference on Fuzzy Systems - Proceedings
Pages311-314
Number of pages4
DOIs
StatePublished - 2011
Event2011 IEEE International Conference on Fuzzy Systems, FUZZ 2011 - Taipei, Taiwan
Duration: 27 Jun 201130 Jun 2011

Publication series

NameIEEE International Conference on Fuzzy Systems
ISSN (Print)1098-7584

Conference

Conference2011 IEEE International Conference on Fuzzy Systems, FUZZ 2011
Country/TerritoryTaiwan
CityTaipei
Period27/06/1130/06/11

Keywords

  • Copositive relaxations
  • Linear matrix inequality
  • Premise-dependent Lyapunov function
  • Sum of Squares
  • TS fuzzy model

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