Title
From singular to nonsingular filtering of periodic systems: filling the gap with the spectral interactor matrix.
Abstract
With reference to periodic discrete-time systems, the concept of the periodic spectral interactor matrix operator (PSIMO) is introduced. Such an interactor enables one to transform the singular system into a nonsingular one with identical spectral properties. This concept is useful to characterize the family of periodic solutions of the singular periodic Riccati equation arising from the singular filtering problem. The PSIMO is also a synthetic tool to represent the invariant zeros structure at infinity (delays) of periodic systems in an operational fashion.
Year
DOI
Venue
1999
10.1109/9.739149
IEEE Trans. Automat. Contr.
Keywords
Field
DocType
Filtering,Filling,Riccati equations,Delay systems,Control systems,Discrete transforms,Periodic structures,H infinity control,Filters,Polynomials
Mathematical optimization,Singular control,Control theory,Matrix (mathematics),Mathematical analysis,Singular solution,Riccati equation,Interactor,Invariant (mathematics),Invertible matrix,Periodic graph (geometry),Mathematics
Journal
Volume
Issue
ISSN
44
1
0018-9286
Citations 
PageRank 
References 
1
0.62
4
Authors
3
Name
Order
Citations
PageRank
S. Bittanti114924.75
P. Colaneri29420.76
M. F. Mongiovi310.62