Title :
AAK model reduction for time-varying systems
Author :
Van der Veen, Alle-Jan ; Dewilde, Patrick
Author_Institution :
Dept. of Electr. Eng., Delft Univ. of Technol., Netherlands
Abstract :
A generalization of the Hankel norm model reduction theory to time-varying systems is described. For time-invariant systems, this problem has a solution that goes back to work of Adamyan, Arov and Krein (AAK) on the Schur-Takagi problem. The authors´ approach extends that theory to cover not only Toeplitz, but general upper operators as well. The usual parametrization of all possible Hankel norm approximants of a given upper operator with respect to a given approximation tolerance is derived
Keywords :
approximation theory; time-varying systems; AAK model reduction; Adamyan; Arov; Hankel norm model reduction; Krein; Schur-Takagi problem; approximation tolerance; parametrization; time-varying systems; upper operator; Assembly; Controllability; Equations; Frequency locked loops; Matrix decomposition; Observability; Reduced order systems; Time varying systems;
Conference_Titel :
Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
Conference_Location :
Tucson, AZ
Print_ISBN :
0-7803-0872-7
DOI :
10.1109/CDC.1992.371052
