Title :
On generalized balanced realizations
Author :
Verriest, Erik ; Kailath, Thomas
Author_Institution :
Georgia Institute of Technology, Atlanta, GA, USA
fDate :
8/1/1983 12:00:00 AM
Abstract :
The class of analytic time-varying linear systems is considered. Different balanced realizations of such systems are defined, and their existence and properties are analyzed. The results are then used to derive reduced order approximations (also for unstable systems). A method is suggested to determine the order of a "good" approximation.
Keywords :
Linear systems, time-varying; Realization theory; Reduced-order systems, linear; Time-varying systems, linear; Contracts; Controllability; Digital filters; Filtering; Linear systems; Observability; Reduced order systems; Robustness; Stochastic processes; Time varying systems;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1983.1103333
