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2 Electronics and Telecommunications Quarterly

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Classification Criteria of Linearization Methods

Myszkowski P.

Electronics and Telecommunications Quarterly

2009

Vol. 55, No 4

659-668

The linearization of non-linear differential equations is a significant problem in analysis and synthesis of non-linear state equations. There are many methods of linearization, that leads to linear equation, which is an approximation of non-linear equation. Considering many different features of particular linearization methods a very important problem is how to choose a method to obtain the best results. In presented paper there are proposed criteria that make possible classifying of linearization methods. Considerations are illustrated by the example of non-linear model of electrical circuit.

The iterative approach to the optimal linearization method

Myszkowski P., Forenc J.

Electronics and Telecommunications Quarterly

2008

Vol. 54, No 3

389-395

In presented paper the analysis of the non-linear models of physical systems will be considered. The analysis of the non-linear system dynamics will be performed by means of the linear model obtained by the optimal linearization method. The paper presents a new approach to this method, based on iterative process.