A NOTE ON SIMULTANEOUS BLOCK DIAGONALLY STABLE MATRICES

• Type: Article in International Scientific Journal
• Date: 2013

Authors

Bras, I (Author) Other; Carapito, AC (Author) Other; Rocha, P (Author) FEUP

Journal

Title: Electronic Journal of Linear Algebra

Vol. 26

Pages: 90-100

ISSN: 1537-9582

Publisher: INT LINEAR ALGEBRA SOC

Indexing

ISI Web of Knowledge - 2 Citations

Scopus - 4 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-005-31Y

Abstract (EN): Consider a set of square real matrices of the same size A = {A(1), A(2), ..., A(N)}, where each matrix is partitioned, in the same way, into blocks such that the diagonal ones are square matrices. Under the assumption that the diagonal blocks in the same position have a common Lyapunov solution, sufficient conditions for the existence of a common Lyapunov solution with block diagonal structure for A are presented. Furthermore, as a by-product, an algorithm for the construction of such a common Lyapunov solution is proposed.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 11