DocumentCode
488678
Title
The Matrix Logarithm and the Continuization of a Discrete Process
Author
Verriest, Erik I.
Author_Institution
School of Electrical Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0250, (404) 894-2949
fYear
1991
fDate
26-28 June 1991
Firstpage
184
Lastpage
189
Abstract
The inverse problem of the discretization for a linear system is solved. It ties in with the basic theory of the matrix logarithm (which is multivalued). Conditions, in terms of the elementary divisors, are presented under which a given matrix has a real logarithm. It is further shown that an n-th order discrete system can always be "continuized" by a minimal real system of order between n and 2n. Applications to multi-rate control and interpolation are give.
Keywords
Artificial intelligence; Counting circuits; Equations; Interpolation; Inverse problems; Linear systems; Matrix decomposition; Strips; Sufficient conditions;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference, 1991
Conference_Location
Boston, MA, USA
Print_ISBN
0-87942-565-2
Type
conf
Filename
4791354
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