DocumentCode
1348638
Title
A new discrete impulse response Gramian and its application to model reduction
Author
Azou, S. ; Brehonnet, P. ; Vilbé, P. ; Calvez, L.C.
Author_Institution
Lab. d´´Electron. et Syst. de Telecommun., CNRS, Brest, France
Volume
45
Issue
3
fYear
2000
fDate
3/1/2000 12:00:00 AM
Firstpage
533
Lastpage
537
Abstract
Some fundamental properties of an impulse response Gramian for linear, time-invariant, asymptotically stable, discrete single-input-single-output (SISO) systems are derived. This Gramian is system invariant and can be found by solving a Lyapunov equation. The connection with standard controllability, observability, and cross Gramians is proven. The significance of these results in model-order reduction is highlighted with an efficient procedure
Keywords
Lyapunov methods; asymptotic stability; controllability; discrete time systems; linear systems; observability; reduced order systems; transient response; Lyapunov equation; SISO systems; cross Gramians; discrete impulse response Gramian; linear time-invariant asymptotically stable discrete single-input-single-output systems; model reduction; Continuous time systems; Controllability; Delay; Equations; Frequency; Observability; Polynomials; Read only memory; Reduced order systems; System identification;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.847738
Filename
847738
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