DocumentCode
2537467
Title
Robust stability of the convex-hull of matrices using the polar decomposition
Author
Collado, Joaqdn ; Lozano, Rogelio
Author_Institution
Fac. de ingenieria Mec. y Eletrica, Univ. AUtonoma de Nuevo Leon, San Nicolas de los Garza, Mexico
Volume
6
fYear
2000
fDate
2000
Firstpage
4331
Abstract
We proposed two new results of robust stability of families of matrices with uncertainty in its entries. The results are based on the polar decomposition and a novel sufficient condition for the stability of a given matrix, i.e., a matrix is stable if the unitarian matrix in the polar decomposition is stable. Some examples illustrate the results
Keywords
Lyapunov methods; eigenvalues and eigenfunctions; linear systems; matrix algebra; stability; state-space methods; topology; Lyapunov equations; Lyapunov method; convex-hull; eigenvalues; linear time invariant systems; matrix algebra; polar decomposition; robust stability; state space; sufficient condition; Eigenvalues and eigenfunctions; Equations; Frequency domain analysis; Matrix decomposition; Robust stability; Robustness; Sufficient conditions; Symmetric matrices; Time invariant systems; Uncertainty;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference, 2000. Proceedings of the 2000
Conference_Location
Chicago, IL
ISSN
0743-1619
Print_ISBN
0-7803-5519-9
Type
conf
DOI
10.1109/ACC.2000.877039
Filename
877039
Link To Document