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Numerical solution of time-delay systems by Hermite wavelet - MaRDI portal

Numerical solution of time-delay systems by Hermite wavelet (Q2113826)

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scientific article; zbMATH DE number 7488860
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English
Numerical solution of time-delay systems by Hermite wavelet
scientific article; zbMATH DE number 7488860

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    Numerical solution of time-delay systems by Hermite wavelet (English)
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    14 March 2022
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    Summary: This paper presents a direct numerical method based on Hermite wavelet to find the solution of time delay systems. The operational matrices of integration, differentiation, production, and delay are derived and utilised to reduce the time-delay dynamical system to a set of algebraic equations. Thus, the problem is simplified to a great extent. The method is easy to implement. The illustrative examples with time-invariant and time-varying coefficients demonstrate the validity of the method.
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    TDS
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    time-delay system
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    Hermite wavelet
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    operational matrix
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    direct method
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    orthogonal functions
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