Dynamical System Modeling and Stability Investigation�DSMSI-2023

Dedicated to the 77th anniversary of the outstanding Ukrainian scientist

professor Denys Khusainov

December 19-21, 2023, Kyiv, Ukraine

Adaptive Method of Approximation of Experimental Data� �^{Valentyn Sobchuk, Garashchenko Fedir , Matvienko Vladimir, Pichkur Volodymyr and Demkivskiy Evgen}

^{Taras Shevchenko National University of Kyiv, Glushkova st., 4d Kyiv, 03680, Ukraine}

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Introduction

• Proposed approaches described for the approximation of the continuous processes only, but it is easy to derive discrete counterparts on their basis. As a rule, signals are measured into discrete moments. That is why differencing schemes could prove to be more effective for use. The problem of analysis of convergence of the following iterative procedures arise when using proposed algorithms. It can be done on the basis of Lyapunov methods, practical resistance and special criteria of stability.
• Suggested methods could be effectively applied for the detection of chemical and biological analysis of the spectral data. Model examples for the approximation of the continuous signals are given to demonstrate their effectiveness.

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Dynamical System Modeling and Stability Investigation, DSMSI-2023

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• Figure 1. Spectral values of basic functions.

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Thank you for your attention