Publication detail

# Optimization of Linear Differential Systems with Multiple Delay

DEMCHENKO, H. DIBLÍK, J. KHUSAINOV, D.

Original Title

Optimization of Linear Differential Systems with Multiple Delay

English Title

Optimization of Linear Differential Systems with Multiple Delay

Type

conference paper

Language

en

Original Abstract

In this contribution is investigated an optimization problem for differential equations with delays dx(t)/dt = ax(t) + b1x(t-Ƭ1) + b2x(t-Ƭ2) +...+ bnx(t-Ƭn) + cu(t) (where a, bi and c are real constants, Ƭi > 0 , i = 1,..., n and u(t) is a control function) and for their systems by the second Lyapunov’s method.

English abstract

In this contribution is investigated an optimization problem for differential equations with delays dx(t)/dt = ax(t) + b1x(t-Ƭ1) + b2x(t-Ƭ2) +...+ bnx(t-Ƭn) + cu(t) (where a, bi and c are real constants, Ƭi > 0 , i = 1,..., n and u(t) is a control function) and for their systems by the second Lyapunov’s method.

Keywords

Lyapunov function, differential system, delay, optimal control function, integral quality criterion.

Released

16.06.2016

ISBN

978-80-7231-464-5

Book

Matematika, informační technologie a aplikované vědy (MITAV 2016)

Pages from

1

Pages to

7

Pages count

7

Documents

BibTex

``````
@inproceedings{BUT126223,
author="Hanna {Demchenko} and Josef {Diblík} and Denys {Khusainov}",
title="Optimization of Linear Differential Systems with Multiple Delay",
annote="In this contribution is investigated an optimization problem for differential equations with delays
dx(t)/dt = ax(t) + b1x(t-Ƭ1) + b2x(t-Ƭ2) +...+ bnx(t-Ƭn) + cu(t)
(where a, bi and c are real constants, Ƭi > 0 , i = 1,..., n and u(t) is a control function)
and for their systems by the second Lyapunov’s method.",
booktitle="Matematika, informační technologie a aplikované vědy (MITAV 2016)",
chapter="126223",
howpublished="electronic, physical medium",
year="2016",
month="june",
pages="1--7",
type="conference paper"
}``````