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Title: Discretization Procedure for Linear Dynamical Systems

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.

Authors:
 [1];  [2]
  1. Ural Federal University, JSC “Scientific and Production Association of Automatics Named after Acad. N. A. Semikhatov” (Russian Federation)
  2. Ural Federal University, Institute of Mathematics and Mechanics, Ural Branch of RAS (Russian Federation)
Publication Date:
OSTI Identifier:
22771290
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Sciences
Additional Journal Information:
Journal Volume: 230; Journal Issue: 5; Conference: International symposium on differential equations, Perm (Russian Federation), 17-18 May 2016; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1072-3374
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; ALGORITHMS; CONTROL; DISTURBANCES; DYNAMICAL SYSTEMS; MATRICES; PERTURBATION THEORY

Citation Formats

Bulaev, V. V., E-mail: bulaev1991@mail.ru, and Shorikov, A. F., E-mail: afshorikov@mail.ru. Discretization Procedure for Linear Dynamical Systems. United States: N. p., 2018. Web. doi:10.1007/S10958-018-3765-5.
Bulaev, V. V., E-mail: bulaev1991@mail.ru, & Shorikov, A. F., E-mail: afshorikov@mail.ru. Discretization Procedure for Linear Dynamical Systems. United States. doi:10.1007/S10958-018-3765-5.
Bulaev, V. V., E-mail: bulaev1991@mail.ru, and Shorikov, A. F., E-mail: afshorikov@mail.ru. Tue . "Discretization Procedure for Linear Dynamical Systems". United States. doi:10.1007/S10958-018-3765-5.
@article{osti_22771290,
title = {Discretization Procedure for Linear Dynamical Systems},
author = {Bulaev, V. V., E-mail: bulaev1991@mail.ru and Shorikov, A. F., E-mail: afshorikov@mail.ru},
abstractNote = {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.},
doi = {10.1007/S10958-018-3765-5},
journal = {Journal of Mathematical Sciences},
issn = {1072-3374},
number = 5,
volume = 230,
place = {United States},
year = {2018},
month = {5}
}