Detail publikace

A PROBLEM OF FUNCTIONAL MINIMIZING FOR SINGLE DELAYED DIFFERENTIAL SYSTEM

DEMCHENKO, H. DIBLÍK, J.

Originální název

A PROBLEM OF FUNCTIONAL MINIMIZING FOR SINGLE DELAYED DIFFERENTIAL SYSTEM

Typ

článek ve sborníku ve WoS nebo Scopus

Jazyk

angličtina

Originální abstrakt

In the contribution, a linear differential system with a single delay dx(t)/dt = A(0)x(t) + A(1)x(t - r) + bu(t), t >= t(0) where A(0), A(1) are n x n constant matrices, x is an element of R-n , b is an element of R-n, tau > 0, t(0) is an element of R, u is an element of R, is considered. A problem of minimizing (by a suitable control function u(t)) a functional I = integral(infinity)(t0) (x(T)(t)C(11)x(t) + x(T)(T)C(12)x(t - tau)+x(T)(t - tau) C(21)x(t) + x(T) (t - tau) C(22)x(t - tau) + du(2)(t))dt, where C-11 , C-12, C-21, C-22 are n x n constant matrices, d > 0, and the integrand is a positive-definite quadratic form, is considered. To solve the problem, Malkin's approach and Lyapunov's second method are utilized.

Klíčová slova

delayed differential system, Lyapunov-Krasovskii functional, integral quality criterion, optimal control.

Autoři

DEMCHENKO, H.; DIBLÍK, J.

Vydáno

15. 6. 2017

Nakladatel

University of Defence

Místo

Brno

ISBN

978-80-7582-026-6

Kniha

Mathematics, Information Technologies and Applied Sciences 2017

Číslo edice

1

Strany od

55

Strany do

62

Strany počet

8

URL

http://mitav.unob.cz/data/MITAV%202017%20Proceedings.pdf

BibTex

@inproceedings{BUT142612,
  author="Hanna {Demchenko} and Josef {Diblík}",
  title="A PROBLEM OF FUNCTIONAL MINIMIZING FOR SINGLE DELAYED DIFFERENTIAL SYSTEM",
  booktitle="Mathematics, Information Technologies and Applied Sciences 2017",
  year="2017",
  number="1",
  pages="55--62",
  publisher="University of Defence",
  address="Brno",
  isbn="978-80-7582-026-6",
  url="http://mitav.unob.cz/data/MITAV%202017%20Proceedings.pdf"
}