Publication result detail

Discrete Analogue of a Linear Differential Model wiith Delay of the Mach Number Dynamics and its Solution

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

Original Title

Discrete Analogue of a Linear Differential Model wiith Delay of the Mach Number Dynamics and its Solution

English Title

Discrete Analogue of a Linear Differential Model wiith Delay of the Mach Number Dynamics and its Solution

Type

Paper in proceedings (conference paper)

Original Abstract

The paper considers a discretization of a differential wind-tunnel model of the Mach number dynamics with a time-delay. It is shown that the homogeneous part of the linear discrete system of equations derived is weakly delayed. The nonhomogeneous discrete system with delay is transformed by specific substitutions into a non-delayed one with an appropriate dimension, and is solved. Then a solution of an initial nonhomogeneous discrete system is found. If the discretization step is sufficiently small, the resulting discrete model is asymptotically stable.

English abstract

The paper considers a discretization of a differential wind-tunnel model of the Mach number dynamics with a time-delay. It is shown that the homogeneous part of the linear discrete system of equations derived is weakly delayed. The nonhomogeneous discrete system with delay is transformed by specific substitutions into a non-delayed one with an appropriate dimension, and is solved. Then a solution of an initial nonhomogeneous discrete system is found. If the discretization step is sufficiently small, the resulting discrete model is asymptotically stable.

Keywords

delay; discrete system; general solution; initial value; weakly delayed system

Key words in English

delay; discrete system; general solution; initial value; weakly delayed system

Authors

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

Released

01.01.2025

Publisher

Institute of Electrical and Electronics Engineers Inc.

ISBN

9798350377224

Book

Proceedings - 2024 9th International Conference on Mathematics and Computers in Sciences and Industry, MCSI

Edition

1

Pages from

174

Pages to

179

Pages count

6

URL

https://ieeexplore.ieee.org/document/10817736

BibTex

@inproceedings{BUT197331,
  author="Josef {Diblík} and Hana {Boháčková} and Jan {Šafařík}",
  title="Discrete Analogue of a Linear Differential Model wiith Delay of the Mach Number Dynamics and its Solution",
  booktitle="Proceedings - 2024 9th International Conference on Mathematics and Computers in Sciences and Industry, MCSI",
  year="2025",
  series="1",
  number="1",
  pages="174--179",
  publisher="Institute of Electrical and Electronics Engineers Inc.",
  doi="10.1109/MCSI63438.2024.00036",
  isbn="9798350377224",
  url="https://ieeexplore.ieee.org/document/10817736"
}