On the stability of convex sums of rank-1 perturbed matrices

Proceedings of the American Control Conference

Volumn 2, Issue , 2002, Pages 1246-1247

  Laffey, Thomas ^a   Shorten, Robert ^b   Cairbre, Fiacre Ó ^b  

^a Dublin Institute for Advance Physics   (Ireland)

^b NATIONAL UNIVERSITY OF IRELAND   (Ireland)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; EIGENVALUES AND EIGENFUNCTIONS; LINEAR CONTROL SYSTEMS; MATRIX ALGEBRA; PERTURBATION TECHNIQUES; ROBUSTNESS (CONTROL SYSTEMS); SYSTEM STABILITY; THEOREM PROVING; VECTORS;

COMPACT CONDITION; CONVEX SUMS; INTERMEDIATE VALUE THEOREM; PENCILS; RANK-1 PERTURBED MATRICES;

ASYMPTOTIC STABILITY;

EID: 0036351471     PISSN: 07431619     EISSN: None     Source Type: Journal    
DOI: 10.1109/ACC.2002.1023190     Document Type: Article

References (5)

1. Stability of convex and linear combinations of polynomials and matrices arising in robustness problems
2. On the existence of a common quadratic Lyapunov function for linear stable switching systems
3. A necessary and sufficient criterion for the stability of a convex set of matrices
4. A necessary and sufficient condition for the stability of convex combinations of stable polynomials or matrices
5. On the stability of convex sums of matrices