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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
Type
conference paper
Language
English
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.
Keywords
Discrete systems, constant coefficients, single delay, discrete matrix delayed exponential.
Authors
DIBLÍK, J.; KUKHARENKO, O.; MORÁVKOVÁ, B.; KHUSAINOV, D.
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", booktitle="Proceedings of the IEEEAM/NAUN International Conferences", year="2011", pages="82--87", isbn="978-1-61804-058-9" }