LS-SVM approximate solution to linear time varying descriptor systems

Siamak Mehrkanoon; Johan A. K. Suykens

doi:10.1016/j.automatica.2012.06.095

LS-SVM approximate solution to linear time varying descriptor systems

Siamak Mehrkanoon^*, Johan A. K. Suykens

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

This paper discusses a numerical method based on Least Squares Support Vector Machines (LS-SVMs) for solving linear time varying initial and boundary value problems in Differential Algebraic Equations (DAEs). The method generates a closed form (model-based) approximate solution. The results of numerical experiments on different systems with index from 0 to 3, are presented and compared with analytic solutions to confirm the validity and applicability of the proposed method. (C) 2012 Elsevier Ltd. All rights reserved.

Original language	English
Pages (from-to)	2502-2511
Number of pages	10
Journal	Automatica
Volume	48
Issue number	10
DOIs	https://doi.org/10.1016/j.automatica.2012.06.095
Publication status	Published - Oct 2012
Externally published	Yes

Keywords

Least squares support vector machines
Descriptor systems
Closed form approximate solution
DIFFERENTIAL-ALGEBRAIC EQUATIONS
NUMERICAL-SOLUTION

Access to Document

10.1016/j.automatica.2012.06.095

Cite this

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title = "LS-SVM approximate solution to linear time varying descriptor systems",

abstract = "This paper discusses a numerical method based on Least Squares Support Vector Machines (LS-SVMs) for solving linear time varying initial and boundary value problems in Differential Algebraic Equations (DAEs). The method generates a closed form (model-based) approximate solution. The results of numerical experiments on different systems with index from 0 to 3, are presented and compared with analytic solutions to confirm the validity and applicability of the proposed method. (C) 2012 Elsevier Ltd. All rights reserved.",

keywords = "Least squares support vector machines, Descriptor systems, Closed form approximate solution, DIFFERENTIAL-ALGEBRAIC EQUATIONS, NUMERICAL-SOLUTION",

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AB - This paper discusses a numerical method based on Least Squares Support Vector Machines (LS-SVMs) for solving linear time varying initial and boundary value problems in Differential Algebraic Equations (DAEs). The method generates a closed form (model-based) approximate solution. The results of numerical experiments on different systems with index from 0 to 3, are presented and compared with analytic solutions to confirm the validity and applicability of the proposed method. (C) 2012 Elsevier Ltd. All rights reserved.

KW - Least squares support vector machines

KW - Descriptor systems

KW - Closed form approximate solution

KW - DIFFERENTIAL-ALGEBRAIC EQUATIONS

KW - NUMERICAL-SOLUTION

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