ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

On a Сonnection Вetween Continuous and Discrete Models of Linear Dynamical Systems


Yuri Petrovich Dranitsa

The Murmansk State Technical University,
Russia, Murmansk

Andrei Yurevich Dranitsa

Closed Joint-Stock Company "Lanit",
Russia, Moscow

Olga Vasilevna Alekseevskaya

Closed Joint-Stock Company "Lanit",
Russia, Moscow


The task of an approximation of a continuous model according to obtained discrete data in its connection with Laplas transformation and z-conversion has been considered.

We found that the connection between ordinary differential equations and difference equations has analogy with inverse agreed z-conversion when transferring from complex z-plane to s-plane.

A comparative analysis classical techniques and the offered method of the transition from continuous to discrete model (and vice versa) has been performed.

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