A lyapunov approach in the derivative approximation using a dynamic system

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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.

Original languageEnglish
JournalInternational Journal of Pure and Applied Mathematics
Volume105
Issue number3
Pages (from-to)523-528
Number of pages6
ISSN1311-8080
DOIs
Publication statusPublished - 15.12.2015

    Research areas

  • Engineering - derivatives, discrete-time systems, computational methods

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