TY - GEN
T1 - A note on common quadratic Lyapunov functions for linear inclusions
T2 - 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
AU - Gurvits, Leonid
AU - Samorodnitsky, Alex
PY - 2005
Y1 - 2005
N2 - We prove several exact results on approximability of joint spectral radius by matrix norms induced by Euclidean norms. We point out, perhaps for the first time in this context, a difference between complex and real cases. New connections of joint spectral radius to convex geometry and combinatorics are established. Several open problems are posed.
AB - We prove several exact results on approximability of joint spectral radius by matrix norms induced by Euclidean norms. We point out, perhaps for the first time in this context, a difference between complex and real cases. New connections of joint spectral radius to convex geometry and combinatorics are established. Several open problems are posed.
UR - http://www.scopus.com/inward/record.url?scp=33847185237&partnerID=8YFLogxK
U2 - 10.1109/CDC.2005.1582513
DO - 10.1109/CDC.2005.1582513
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AN - SCOPUS:33847185237
SN - 0780395689
SN - 9780780395688
T3 - Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
SP - 2350
EP - 2355
BT - Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Y2 - 12 December 2005 through 15 December 2005
ER -