Publication detail

A Note on Relative Controllability of Higher-Order Linear Delayed Discrete Systems

DIBLÍK, J. MENCÁKOVÁ, K.

Original Title

A Note on Relative Controllability of Higher-Order Linear Delayed Discrete Systems

Type

journal article in Web of Science

Language

English

Original Abstract

The present paper is concerned with relative controllability of higher-order linear discrete delayed systems with a single delay. By a formula that uses special matrix functions discrete delayed matrix sine and cosine) to compute the solution of the initial problem, a criterion is found for relative controllability. In terms of special matrix functions, a control function is constructed to solve the problem of relative controllability. It is shown that the transformation of a given system into a higher-dimensional system without delays leads to a non-equivalent problem of relative controllability. The results are illustrated by an example.

Keywords

Discrete system; relative controllability; discrete delayed sine; discrete delayed cosine; control function.

Authors

DIBLÍK, J.; MENCÁKOVÁ, K.

Released

10. 12. 2020

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC, 445 HOES LANE, PISCATAWAY, NJ 08855-4141 USA

Location

Piscataway (New Jesrsey, USA)

ISBN

0018-9286

Periodical

IEEE TRANSACTIONS ON AUTOMATIC CONTROL

Year of study

65

Number

12

State

United States of America

Pages from

5472

Pages to

85479

Pages count

8

URL

https://ieeexplore.ieee.org/document/9013089

BibTex

@article{BUT163959,
  author="Josef {Diblík} and Kristýna {Mencáková}",
  title="A Note on Relative Controllability of Higher-Order Linear Delayed Discrete Systems",
  journal="IEEE TRANSACTIONS ON AUTOMATIC CONTROL",
  year="2020",
  volume="65",
  number="12",
  pages="5472--85479",
  doi="10.1109/TAC.2020.2976298",
  issn="0018-9286",
  url="https://ieeexplore.ieee.org/document/9013089"
}