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Abstract
In this paper, we introduce and investigate transforms mapping the space of continuous signals into the space of discrete signals. These transforms map the derivative of an arbitrary order into the forward, the backward, and the average difference. The introduced transforms permit to derive discrete modells for continuous time systems described by differential equations. Since a transform mapping the derivatives into the average differences is provided, modeling of continuous time systems by computing anticipatory systems is included. Application of introduced transforms is illustrated by deriving the discrete modells for harmonic oscillators.
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References
Bibliographical reference
Miomir S. Stanković and Radomir S. Stanković, « Some Transforms for Modelling of Computing Anticipatory Systems », CASYS, 3 | 1999, 203-214.
Electronic reference
Miomir S. Stanković and Radomir S. Stanković, « Some Transforms for Modelling of Computing Anticipatory Systems », CASYS [Online], 3 | 1999, Online since 08 October 2024, connection on 27 December 2024. URL : http://popups.uliege.be/3041-539x/index.php?id=882
Authors
Miomir S. Stanković
Dept. of Mathematics, Faculty of Occupational Safety, Čarnojevićeva 10, 18 000 Niš, Yugoslavia
Radomir S. Stanković
Dept. of Computer Science, Faculty of Electronics, Beogradska 14, 18 000 Niš, Yugoslavia