Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/76608
Type: Artigo de periódico
Title: A pair of matrices sharing common Lyapunov solutions - A closer look
Author: Cohen, N
Lewkowicz, L
Abstract: Let A, B be a pair of matrices with regular inertia. If HA + A* H and HB + B*H are both positive definite for some Hermitian matrix H then all matrices in conv(A, A(-1), B, B-1) have identical regular inertia. This, in turn, implies that both conv(A, B) and conv(A, B-1) consist of non-singular matrices. In general, neither of the converse implications holds. In this paper we seek situations where they do hold, in particular, when A and B are real 2 x 2 matrices. Several aspects of the above statements for n x n matrices are discussed. A connection to the characterization of the convex hull of matrices with regular inertia is introduced. Differences between the real and the complex case are indicated. (C) 2002 Elsevier Science Inc. All rights reserved.
Subject: Lyapunov matrix inclusion
convex invertible cones
convex sets of matrices with regular inertia
Country: EUA
Editor: Elsevier Science Inc
Rights: fechado
Identifier DOI: 10.1016/S0024-3795(02)00443-3
Date Issue: 2003
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

Files in This Item:
File Description SizeFormat 
WOS000180416900006.pdf261.25 kBAdobe PDFView/Open


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.