TY - JOUR
T1 - Continuity of the spectral factorization on a vertical strip
AU - Jacob, Birgit
AU - Winkin, Joseph
AU - Zwart, Hans
PY - 1999/7/26
Y1 - 1999/7/26
N2 - The continuity of the mapping which associates a spectral factor to a spectral density is investigated. This mapping can be defined on several classes of spectral densities and spectral factors. For the usual largest class of spectral densities, i.e., essential bounded functions on the imaginary axis that are bounded away from zero, it is known that this mapping is not continuous. It is shown here that for slightly smaller, but still generic class the mapping becomes continuous.
AB - The continuity of the mapping which associates a spectral factor to a spectral density is investigated. This mapping can be defined on several classes of spectral densities and spectral factors. For the usual largest class of spectral densities, i.e., essential bounded functions on the imaginary axis that are bounded away from zero, it is known that this mapping is not continuous. It is shown here that for slightly smaller, but still generic class the mapping becomes continuous.
KW - Approximate spectral factorization
KW - Coercivity
KW - Spectral density
KW - Spectral factor
UR - http://www.scopus.com/inward/record.url?scp=0001548461&partnerID=8YFLogxK
U2 - 10.1016/S0167-6911(99)00019-5
DO - 10.1016/S0167-6911(99)00019-5
M3 - Article
VL - 37
SP - 183
EP - 192
JO - Systems and Control Letters
JF - Systems and Control Letters
IS - 4
ER -