Title :
Stabilizability of linear time-varying and uncertain linear systems
Author :
Rotea, Mario A. ; Khargonekar, Pramod P.
Author_Institution :
Dept. of Electr. Eng., Minnesota Univ., Minneapolis, MN, USA
fDate :
9/1/1988 12:00:00 AM
Abstract :
Feedback stabilization of linear time-varying and uncertain linear systems is considered. It is proved that given a stabilizing dynamic linear state-feedback controller, one can always construct a stabilizing nondynamic linear state-feedback controller. A similar result is shown for uncertain linear systems. A linear time-varying system can be stabilized by dynamic output feedback if and only if it admits a coprime factorization
Keywords :
feedback; linear systems; stability; time-varying systems; coprime factorization; linear systems; stabilizing dynamic linear state-feedback controller; time varying systems; uncertain systems; Equations; Linear systems; Matrices; Matrix decomposition; Output feedback; Polynomials; Sufficient conditions; Time varying systems; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on
