Title :
On the stability of convex sums of rank-1 perturbed matrices
Author :
Laffey, Thomas ; Shorten, Robert ; Cairbre, Fiacre Ó
Author_Institution :
Dept. of Math., Nat. Univ. of Ireland, Dublin, Ireland
Abstract :
A compact condition is obtained that guarantees the stability of a single convex sum of a pair of related matrices. It is anticipated that the proof presented for a single pencil can be modified to yield conditions for a pair of related pencils.
Keywords :
matrix algebra; stability; compact condition; convex sums; necessary and sufficient conditions; pencil; rank-1 perturbed matrices; stability; Artificial intelligence; Eigenvalues and eigenfunctions; Equations; Linear systems; Mathematics; Robust stability; Sufficient conditions; Switching systems;
Conference_Titel :
American Control Conference, 2002. Proceedings of the 2002
Print_ISBN :
0-7803-7298-0
DOI :
10.1109/ACC.2002.1023190
