A lyapunov approach in the derivative approximation using a dynamic system

Paolo Mercorelli

doi:10.12732/ijpam.v105i3.17

A lyapunov approach in the derivative approximation using a dynamic system

Paolo Mercorelli^*

^*Korrespondierende/r Autor/-in für diese Arbeit

Publikation: Beiträge in Zeitschriften › Zeitschriftenaufsätze › Forschung › Begutachtung

Abstract

This paper deals with an approximation of a derivative using a dynamic system of the first order. After formulating the problem, two propo- sitions, allowing to find a possible approximation consisting of a dynamic sys- tem, 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.

Originalsprache	Englisch
Zeitschrift	International Journal of Pure and Applied Mathematics
Jahrgang	105
Ausgabenummer	3
Seiten (von - bis)	523-528
Seitenumfang	6
ISSN	1311-8080
DOIs	https://doi.org/10.12732/ijpam.v105i3.17
Publikationsstatus	Erschienen - 15.12.2015

Fachgebiete und Schlagwörter

Computational methods
Derivatives
Discrete-time systems
Ingenieurwissenschaften

ASJC Scopus Sachgebiete

Angewandte Mathematik
Mathematik (insg.)

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10.12732/ijpam.v105i3.17Lizenz: CC BY

http://www.ijpam.eu/contents/2015-105-3/17/17.pdfLizenz: CC BY

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A lyapunov approach in the derivative approximation using a dynamic system

Abstract

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