, A. F. Shorikov, “Discretization procedure for linear dynamical systems”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2017, Volume 132,Pages <nobr>20

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Discretization procedure for linear dynamical systems

^ab, A. F. Shorikov^ca

^a Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg
^b JSC ``Scientific and Production Association of automatics named after academician N. A. Semikhatov''
^c Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg

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.

Keywords: discretization of a linear dynamical system, model of perturbed motion, Cauchy formula.

UDC: 519.6

MSC: 34A30, 93C55