DocumentCode :
487982
Title :
Generalized Notions in Geometry and Duality
Author :
Fountain, D.W. ; Lewis, F.L.
Author_Institution :
School of Electrical Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332, 404-894-2994
fYear :
1989
fDate :
21-23 June 1989
Firstpage :
2146
Lastpage :
2151
Abstract :
We show the dynamical significance of the subspaces generated by the steps of the recursions for the supremal (A, E, Image(B))-invariant subspace and the infimal almost controllability subspace for discrete-time singular systems. We also show the dynamical interpretation of these recursions when performed on the dual system. We thus give duality results for subspaces computed from the original system matrices. Our approach should be contrasted with previous results which give duality results in terms of (different) subspaces computed from a slow/fast decomposition of the system.
Keywords :
Control systems; Controllability; Equations; Geometry; Matrix decomposition; Niobium;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
American Control Conference, 1989
Conference_Location :
Pittsburgh, PA, USA
Type :
conf
Filename :
4790543
Link To Document :
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