# 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:

- Ural Federal University, JSC “Scientific and Production Association of Automatics Named after Acad. N. A. Semikhatov” (Russian Federation)
- 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}

}

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