DocumentCode :
3123384
Title :
Laplace and Cayley transforms -an approximation point of view
Author :
Havu, V. ; Malinen, J.
Author_Institution :
Insitute of Mathematics, TKK, Box 1100 FI-02015, Helsinki University of Technology, Finland. Ville.Havu@tkk.fi
fYear :
2005
fDate :
15-15 Dec. 2005
Firstpage :
5971
Lastpage :
5976
Abstract :
We interpret the Cayley transform of linear (finite-or infinite-dimensional) state space systems as a numerical integration scheme of Crank–Nicolson type. If such a scheme is applied to a conservative system, then the resulting discrete time system is conservative in the discrete time sense. We show that the convergence of this integration scheme is equivalent to an approximation of the Laplace transform.
Keywords :
Convergence; Discrete time systems; Discrete transforms; Laplace equations; Linear systems; Mathematics; Physics; Space technology; State-space methods; Transfer functions;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on
Conference_Location :
Seville, Spain
Print_ISBN :
0-7803-9567-0
Type :
conf
DOI :
10.1109/CDC.2005.1583117
Filename :
1583117
Link To Document :
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