LS-SVM approximate solution to linear time varying descriptor systems

  • Authors:
  • Siamak Mehrkanoon;Johan A. K. Suykens

  • Affiliations:
  • -;-

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2012

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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.