Successive linearizations of second order multidimensional time-invariant systems

Fethi Belkhouche, Boumediene Belkhouche

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


The present paper discusses a linearization method for second order multidimensional time-invariant systems. The method approximates locally the nonlinear vector field around the equilibrium, where the solution starting from a given initial state near the equilibrium is approximated by a linear solution. This linearization is usually called local trajectory-based linearization. The approximation is computed using an iterative method, which consists of successive approximations in the least square sense, Using a numerical example, it is shown that the linearized solutions exhibit good agreement with the nonlinear solutions.

Original languageEnglish (US)
Pages (from-to)79-88
Number of pages10
JournalComputer Physics Communications
Issue number2
StatePublished - Sep 15 2004

All Science Journal Classification (ASJC) codes

  • Hardware and Architecture
  • Physics and Astronomy(all)


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