A PROBLEM OF FUNCTIONAL MINIMIZING FOR SINGLE DELAYED DIFFERENTIAL SYSTEM

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F17%3APU125890" target="_blank" >RIV/00216305:26220/17:PU125890 - isvavai.cz</a>
Result on the web
<a href="http://mitav.unob.cz/data/MITAV%202017%20Proceedings.pdf" target="_blank" >http://mitav.unob.cz/data/MITAV%202017%20Proceedings.pdf</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
A PROBLEM OF FUNCTIONAL MINIMIZING FOR SINGLE DELAYED DIFFERENTIAL SYSTEM
Original language description
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.
Czech name
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Czech description
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Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Mathematics, Information Technologies and Applied Sciences 2017
ISBN
978-80-7582-026-6
ISSN
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e-ISSN
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Number of pages
8
Pages from-to
55-62
Publisher name
University of Defence
Place of publication
Brno
Event location
Brno
Event date
Jun 15, 2017
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
000576896800006

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