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
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;
Conference_Titel :
American Control Conference, 2000. Proceedings of the 2000
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-5519-9
DOI :
10.1109/ACC.2000.877036
