Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/76290
Type: Artigo de periódico
Title: A new LMI condition for robust stability of polynomial matrix polytopes
Author: de Oliveira, PJ
Oliveira, RCLF
Peres, PLD
Abstract: A sufficient condition for checking the robust stability of a polytope of polynomial matrices is proposed in this note. A simple feasibility test performed in a convex set of linear-matrix inequalities defined at the vertices of the polytope yields sufficient conditions for the robust stability of the entire domain. Both continuous-time (left half-plane) and discrete-time stability (unit disk) are investigated. Numerical comparisons with quadratic stability results and with another method recently appeared in the literature show that the conditions proposed provide, in general, less conservative results.
Subject: linear-matrix inequalities (LMIs)
parameter dependent Lyapunov functions
polynomial matrices
robust stability
uncertain polynomials
Country: EUA
Editor: Ieee-inst Electrical Electronics Engineers Inc
Rights: fechado
Identifier DOI: 10.1109/TAC.2002.803560
Date Issue: 2002
Appears in Collections:Unicamp - Artigos e Outros Documentos

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