A lyapunov approach in the derivative approximation using a dynamic system

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A lyapunov approach in the derivative approximation using a dynamic system. / Mercorelli, Paolo.
in: International Journal of Pure and Applied Mathematics, Jahrgang 105, Nr. 3, 15.12.2015, S. 523-528.

Publikation: Beiträge in ZeitschriftenZeitschriftenaufsätzeForschungbegutachtet

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@article{b24357a1eba34cea81f1d5039f339e72,
title = "A lyapunov approach in the derivative approximation using a dynamic system",
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.",
keywords = "Computational methods, Derivatives, Discrete-time systems, Engineering, derivatives, discrete-time systems, computational methods",
author = "Paolo Mercorelli",
year = "2015",
month = dec,
day = "15",
doi = "10.12732/ijpam.v105i3.17",
language = "English",
volume = "105",
pages = "523--528",
journal = "International Journal of Pure and Applied Mathematics",
issn = "1311-8080",
publisher = "Academic Publications Ltd.",
number = "3",

}

RIS

TY - JOUR

T1 - A lyapunov approach in the derivative approximation using a dynamic system

AU - Mercorelli, Paolo

PY - 2015/12/15

Y1 - 2015/12/15

N2 - 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.

AB - 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.

KW - Computational methods

KW - Derivatives

KW - Discrete-time systems

KW - Engineering

KW - derivatives

KW - discrete-time systems

KW - computational methods

UR - http://www.scopus.com/inward/record.url?scp=84951798057&partnerID=8YFLogxK

U2 - 10.12732/ijpam.v105i3.17

DO - 10.12732/ijpam.v105i3.17

M3 - Journal articles

AN - SCOPUS:84951798057

VL - 105

SP - 523

EP - 528

JO - International Journal of Pure and Applied Mathematics

JF - International Journal of Pure and Applied Mathematics

SN - 1311-8080

IS - 3

ER -

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