Existence of parameter-dependent Lyapunov functions assuring robust stability via SOS

Ji Chang Lo, Chin Fu Tsai

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

2 Scopus citations

Abstract

An SOS relaxation technique seeking homogeneous polynomially parameter dependent (HPPD) Lyapunov function to non-quadratic stability is proposed. We investigate non-quadratic relaxed conditions characterized by sum of squares, exploiting the algebraic property of Pólya Theorem to construct a family of finite-dimensional SOS relaxations that releases conservatism without adding any slack matrices. Lastly, numerical experiments to illustrate the advantage of the relaxation, being simple and effective, are provided.

Original languageEnglish
Title of host publicationASCC 2011 - 8th Asian Control Conference - Final Program and Proceedings
Pages1492-1497
Number of pages6
StatePublished - 2011
Event8th Asian Control Conference, ASCC 2011 - Kaohsiung, Taiwan
Duration: 15 May 201118 May 2011

Publication series

NameASCC 2011 - 8th Asian Control Conference - Final Program and Proceedings

Conference

Conference8th Asian Control Conference, ASCC 2011
Country/TerritoryTaiwan
CityKaohsiung
Period15/05/1118/05/11

Keywords

  • Homogeneous polynomials
  • Linear matrix inequality
  • Non-common P
  • Parameter-dependent LMIs (PD-LMIs)
  • Relaxation

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