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
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;
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
DOI :
10.1109/CDC.2005.1583117