Detail publikace

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

DIBLÍK, J. MENCÁKOVÁ, K.

Originální název

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

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

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.

Klíčová slova

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

Autoři

DIBLÍK, J.; MENCÁKOVÁ, K.

Vydáno

10. 12. 2020

Nakladatel

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

Místo

Piscataway (New Jesrsey, USA)

ISSN

0018-9286

Periodikum

IEEE TRANSACTIONS ON AUTOMATIC CONTROL

Ročník

65

Číslo

12

Stát

Spojené státy americké

Strany od

5472

Strany do

85479

Strany počet

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"
}