IJPAM: Volume 105, No. 3 (2015)

A LYAPUNOV APPROACH IN THE DERIVATIVE
APPROXIMATION USING A DYNAMIC SYSTEM

Paolo Mercorelli
Institute of Product and Process Innovation
Leuphana University of Lueneburg
Volgershall 1, D-21339 Lueneburg, GERMANY


Abstract. This paper deals with an approximation of a derivative using a dynamic system of the first order. After formulating the problem, two propositions, allowing to find a possible approximation consisting of a dynamic system, are proven. In particular, a proposition based on a Lyapunov approach is proven to show the convergence of the approximation. The second proposition is a constructive one and shows directly the dynamic approximation.

Received: October 24, 2015

AMS Subject Classification: 26A24, 93C55, 49K15

Key Words and Phrases: derivatives, discrete-time systems, computational methods

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DOI: 10.12732/ijpam.v105i3.17 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 105
Issue: 3
Pages: 523 - 528

History: Revised version (on authors request): 22-01-2016 - download from here.
Published: 15-12-2015 - download from here.

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CC BY This work is licensed under the Creative Commons Attribution International License (CC BY).