Publication detail

General Solution of a Three-dimensional Linear Difference System with a Delay

DIBLÍK, J. ŠAFAŘÍK, J. BOHÁČKOVÁ, H.

Original Title

General Solution of a Three-dimensional Linear Difference System with a Delay

Type

conference paper

Language

English

Original Abstract

The paper analyzes a partial case of a delayed linear three-dimensional discrete system z(k+ 1) = Az(k) + Bz(k-1) + U(k), k = 0, 1,..., where A and B are constant 3 by 3 matrices, U: {0, 1,...} -> R-3 and z: {-1, 0,...} -> R-3. Matrices A, B and function U are specified in such a way that the system is a discrete analogue of a differential model of the Mach number dynamics concerning a time-optimal control of a high-speed closed-circuit wind tunnel. The general solution is found by transforming this system into a solvable non-delayed one.

Keywords

Discrete system; solution; transformation

Authors

DIBLÍK, J.; ŠAFAŘÍK, J.; BOHÁČKOVÁ, H.

Released

7. 6. 2024

Publisher

AMER INST PHYSICS

Location

MELVILLE

ISBN

9780735449541

Book

AIP Conference Proceedings, Volume 3094, Issue 1, 7 June 2024, International Conference of Numerical Analysis and Applied Mathematics 2022, ICNAAM 2022

ISBN

0094-243X

Periodical

AIP conference proceedings

Year of study

3094

Number

1

State

United States of America

Pages from

400004-1

Pages to

400004-4

Pages count

4

URL

https://pubs.aip.org/aip/acp/article-abstract/3094/1/400004/3297150/General-solution-of-a-three-dimensional-linear?redirectedFrom=fulltext