Title :
A spectral test for observability and detectability of discrete-time linear time-varying systems
Author :
Peters, Marc A. ; Iglesias, Pablo A.
Author_Institution :
Dept. of Electr. & Comput. Eng., Johns Hopkins Univ., Baltimore, MD, USA
Abstract :
The PBH test is a well known and powerful spectral test for the observability of linear time-invariant systems. In this paper we show that a similar test exists for linear time-varying systems. The test presented here involves a check over part of the spectrum of the weighted block shift known as approximate eigenvalues
Keywords :
asymptotic stability; discrete time systems; eigenvalues and eigenfunctions; matrix algebra; observability; time-varying systems; PBH test; approximate eigenvalues; detectability; discrete-time linear time-varying systems; observability; spectral test; weighted block shift; Contracts; Control theory; Ear; Eigenvalues and eigenfunctions; Hilbert space; Null space; Observability; Stability; System testing; Time varying systems;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.652475
