DocumentCode
2537431
Title
Necessary and sufficient conditions for robust stability of the convex-hull of matrices with rank-one uncertainty
Author
Collado, Joaquín ; Lozano, Rogelio
Author_Institution
FIME-UANL, San Nicolas de los Garza, Mexico
Volume
6
fYear
2000
fDate
2000
Firstpage
4316
Abstract
We present necessary and sufficient conditions for stability of the convex hull of stable matrices in which the difference of the generating matrices are rank-one. This result represents a time domain version of the well known “edge theorem”. An example illustrates the result
Keywords
asymptotic stability; eigenvalues and eigenfunctions; linear systems; matrix algebra; state-space methods; time-domain analysis; topology; asymptotic stability; convex hull; eigenvalues; linear time invariant systems; necessary condition; state space; sufficient condition; time domain analysis; Asymptotic stability; Eigenvalues and eigenfunctions; Equations; Frequency domain analysis; Robust stability; Sufficient conditions; Testing; 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.2000.877036
Filename
877036
Link To Document