Detail publikačního výsledku

Delayed exponential functions and their application to representations of solutions of linear equations with constant coefficients and with single delay

DIBLÍK, J.; KUKHARENKO, O.; MORÁVKOVÁ, B.; KHUSAINOV, D.

Originální název

Delayed exponential functions and their application to representations of solutions of linear equations with constant coefficients and with single delay

Anglický název

Delayed exponential functions and their application to representations of solutions of linear equations with constant coefficients and with single delay

Druh

Stať ve sborníku v databázi WoS či Scopus

Originální abstrakt

A method for construction of solutions of linear discrete systems with constant coefficients and with single delay is developed. Solutions are expressed with the aid of a special function called the discrete matrix delayed exponential. Derived formulas are applied to the construction of solutions of linear discrete systems with constant coefficients, with pure delay and with impulses. Moreover, we give a controllability method for linear discrete systems with constant coefficients and with single delay. Except for a criterion of relative controllability a control function is constructed as well. For continuous case an initial-boundary problem for second-order partial differential equation with delay is solved.

Anglický abstrakt

A method for construction of solutions of linear discrete systems with constant coefficients and with single delay is developed. Solutions are expressed with the aid of a special function called the discrete matrix delayed exponential. Derived formulas are applied to the construction of solutions of linear discrete systems with constant coefficients, with pure delay and with impulses. Moreover, we give a controllability method for linear discrete systems with constant coefficients and with single delay. Except for a criterion of relative controllability a control function is constructed as well. For continuous case an initial-boundary problem for second-order partial differential equation with delay is solved.

Klíčová slova

Discrete systems, constant coefficients, single delay, discrete matrix delayed exponential.

Klíčová slova v angličtině

Discrete systems, constant coefficients, single delay, discrete matrix delayed exponential.

Autoři

DIBLÍK, J.; KUKHARENKO, O.; MORÁVKOVÁ, B.; KHUSAINOV, D.

Rok RIV

2012

Vydáno

10.12.2011

ISBN

978-1-61804-058-9

Kniha

Proceedings of the IEEEAM/NAUN International Conferences

Strany od

82

Strany do

87

Strany počet

6

BibTex

@inproceedings{BUT75602,
  author="Josef {Diblík} and Oleksandra {Kukharenko} and Blanka {Morávková} and Denys {Khusainov}",
  title="Delayed exponential functions and their application to representations of solutions of linear equations with constant coefficients and with single delay",
  booktitle="Proceedings of the IEEEAM/NAUN International Conferences",
  year="2011",
  pages="82--87",
  isbn="978-1-61804-058-9"
}