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Higher order discretization of 2-D systems

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1 Author(s)
Galkowski, K. ; Inst. of Robotics & Software Eng., Tech. Univ. of Zielona Gora, Zielona Gora, Poland

In this paper the use of higher order discretization methods for two-dimensional (2-D) systems is considered from the point of view of systems theory. First, popular in the classical one-dimensional (1-D) case, multistep methods, called the Adams-Moulton methods, are critically examined. It is shown that using the higher order Adams-Moulton methods for 2-D systems produces several disturbances, especially related to causality of a derived discrete system approximation and model complication. In the following, the single-step higher order method is proposed which avoids some disadvantages of the Adams-Moulton methods

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Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on  (Volume:47 ,  Issue: 5 )