Publication detail

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.

Original Title

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

English Title

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

Type

conference paper

Language

en

Original Abstract

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.

English abstract

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.

Keywords

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

RIV year

2011

Released

10.12.2011

ISBN

978-1-61804-058-9

Book

Proceedings of the IEEEAM/NAUN International Conferences

Pages from

82

Pages to

87

Pages count

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",
  annote="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.",
  booktitle="Proceedings of the IEEEAM/NAUN International Conferences",
  chapter="75602",
  howpublished="online",
  year="2011",
  month="december",
  pages="82--87",
  type="conference paper"
}