State analysis of time-varying singular nonlinear systems using Legendre wavelets

In this paper, the Legendre wavelet method for State analysis of time-varying singular nonlinear systems is studied. The properties of Legendre wavelets and its operational matrices are first presented and then are used to convert into algebraic equations. Also the convergence and error analysis for...

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Autores principales:	Raja Balachandar,S., Venkatesh,S. G., Ayyaswamy,S. K., Balachandran,S.
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2015
Materias:	Legendre wavelets Time-varying Singular nonlinear systems Convergence analysis Operational matrix
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172015000100006
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spelling	oai:scielo:S0716-091720150001000062015-07-13State analysis of time-varying singular nonlinear systems using Legendre waveletsRaja Balachandar,S.Venkatesh,S. G.Ayyaswamy,S. K.Balachandran,S. Legendre wavelets Time-varying Singular nonlinear systems Convergence analysis Operational matrix In this paper, the Legendre wavelet method for State analysis of time-varying singular nonlinear systems is studied. The properties of Legendre wavelets and its operational matrices are first presented and then are used to convert into algebraic equations. Also the convergence and error analysis for the proposed technique have been discussed. Illustrative examples have been given to demonstrate the validity and applicability of the technique. The efficiency of the proposed method has been compared with Haar wavelet method and it is observed that the Legendre wavelet method is more convenient than the Haar wavelet method in terms of applicability, efficiency, accuracy, error, and computational effort.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.34 n.1 20152015-03-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172015000100006en10.4067/S0716-09172015000100006
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Legendre wavelets Time-varying Singular nonlinear systems Convergence analysis Operational matrix
spellingShingle	Legendre wavelets Time-varying Singular nonlinear systems Convergence analysis Operational matrix Raja Balachandar,S. Venkatesh,S. G. Ayyaswamy,S. K. Balachandran,S. State analysis of time-varying singular nonlinear systems using Legendre wavelets
description	In this paper, the Legendre wavelet method for State analysis of time-varying singular nonlinear systems is studied. The properties of Legendre wavelets and its operational matrices are first presented and then are used to convert into algebraic equations. Also the convergence and error analysis for the proposed technique have been discussed. Illustrative examples have been given to demonstrate the validity and applicability of the technique. The efficiency of the proposed method has been compared with Haar wavelet method and it is observed that the Legendre wavelet method is more convenient than the Haar wavelet method in terms of applicability, efficiency, accuracy, error, and computational effort.
author	Raja Balachandar,S. Venkatesh,S. G. Ayyaswamy,S. K. Balachandran,S.
author_facet	Raja Balachandar,S. Venkatesh,S. G. Ayyaswamy,S. K. Balachandran,S.
author_sort	Raja Balachandar,S.
title	State analysis of time-varying singular nonlinear systems using Legendre wavelets
title_short	State analysis of time-varying singular nonlinear systems using Legendre wavelets
title_full	State analysis of time-varying singular nonlinear systems using Legendre wavelets
title_fullStr	State analysis of time-varying singular nonlinear systems using Legendre wavelets
title_full_unstemmed	State analysis of time-varying singular nonlinear systems using Legendre wavelets
title_sort	state analysis of time-varying singular nonlinear systems using legendre wavelets
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2015
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172015000100006
work_keys_str_mv	AT rajabalachandars stateanalysisoftimevaryingsingularnonlinearsystemsusinglegendrewavelets AT venkateshsg stateanalysisoftimevaryingsingularnonlinearsystemsusinglegendrewavelets AT ayyaswamysk stateanalysisoftimevaryingsingularnonlinearsystemsusinglegendrewavelets AT balachandrans stateanalysisoftimevaryingsingularnonlinearsystemsusinglegendrewavelets
_version_	1718439803716894720

State analysis of time-varying singular nonlinear systems using Legendre wavelets

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