Přístupnostní navigace
E-application
Search Search Close
Publication detail
DEMCHENKO, H. DIBLÍK, J. KHUSAINOV, D.
Original Title
Optimal stabilization for differential systems with delays - Malkin’s approach
Type
journal article in Web of Science
Language
English
Original Abstract
The paper considers a process controlled by a system of delayed differential equations. Under certain assumptions, a control function is determined such that the zero solution of the system is asymptotically stable and, for an arbitrary solution, the integral quality criterion with infinite upper limit exists and attains its minimum value in a given sense. To solve this problem, Malkin’s approach to ordinary differential systems is extended to delayed functional differential equations, and Lyapunov’s second method is applied. The results are illustrated by examples, and applied to some classes of delayed linear differential equations.
Keywords
Differential equation; delay; control; quality criterion; asymptotic stability
Authors
DEMCHENKO, H.; DIBLÍK, J.; KHUSAINOV, D.
Released
19. 4. 2019
Publisher
Elsevier
Location
PERGAMON-ELSEVIER SCIENCE LTD, THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND
ISBN
0016-0032
Periodical
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
Year of study
356
Number
8
State
United States of America
Pages from
4811
Pages to
4841
Pages count
31
URL
https://www.sciencedirect.com/science/article/abs/pii/S0016003219302698?via%3Dihub
BibTex
@article{BUT160033, author="Hanna {Demchenko} and Josef {Diblík} and Denys {Khusainov}", title="Optimal stabilization for differential systems with delays - Malkin’s approach", journal="JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS", year="2019", volume="356", number="8", pages="4811--4841", doi="10.1016/j.jfranklin.2019.04.021", issn="0016-0032", url="https://www.sciencedirect.com/science/article/abs/pii/S0016003219302698?via%3Dihub" }