A lyapunov approach in the derivative approximation using a dynamic system
Publikation: Beiträge in Zeitschriften › Zeitschriftenaufsätze › Forschung › begutachtet
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in: International Journal of Pure and Applied Mathematics, Jahrgang 105, Nr. 3, 15.12.2015, S. 523-528.
Publikation: Beiträge in Zeitschriften › Zeitschriftenaufsätze › Forschung › begutachtet
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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 -