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-Ƭ1) + b2x(t-Ƭ2) +...+ bnx(t-Ƭn) + 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-Ƭ1) + b2x(t-Ƭ2) +...+ bnx(t-Ƭn) + 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-Ƭ1) + b2x(t-Ƭ2) +...+ bnx(t-Ƭn) + 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"
}