Discretization Procedure for Linear Dynamical Systems


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Abstract

We describe in detail a method of construction of a discrete linear dynamical model of a controllable object in the recurrent Cauchy form corresponding to an initial continuous dynamical system. We describe discretization algorithms for free and forced motion of a linear continuous dynamical system and propose methods of construction of the state, control, and perturbation transition matrices.

About the authors

V. V. Bulaev

JSC “Scientific and Production Association of Automatics Named after Acad. N. A. Semikhatov”, Ural Federal University

Author for correspondence.
Email: bulaev1991@mail.ru
Russian Federation, Yekaterinburg

A. F. Shorikov

Ural Federal University, Institute of Mathematics and Mechanics, Ural Branch of RAS

Email: bulaev1991@mail.ru
Russian Federation, Yekaterinburg

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