Iranian Journal of Mathematical Sciences and Informatics
مجله علوم ریاضی و انفورماتیک
IJMSI
Basic Sciences
http://ijmsi.ir
1
admin
1735-4463
2008-9473
8
10.61186/ijmsi
14
8888
13
en
jalali
1399
7
1
gregorian
2020
10
1
15
2
online
1
fulltext
en
The Numerical Solution of Some Optimal Control Systems with Constant and Pantograph Delays via Bernstein Polynomials
عمومى
General
پژوهشي
Research paper
‎In this paper‎, ‎we present a numerical method based on Bernstein polynomials to solve optimal control systems with constant and pantograph delays‎. ‎Constant or pantograph delays may appear in state-control or both‎. ‎We derive delay operational matrix and pantograph operational matrix for Bernstein polynomials then‎, ‎these are utilized to reduce the solution of optimal control with constant and pantograph delay to the solution of nonlinear programming‎. ‎In truth‎, ‎the principal problem can be transferred to the quadratic programming problem‎. ‎Some examples are included to demonstrate the validity and applicability of the technique.
Optimal control with pantograph systems, Optimal control with time delay, Pantograph delay differential equation, Bernstein polynomials.
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181
http://ijmsi.ir/browse.php?a_code=A-10-2934-1&slc_lang=en&sid=1
N.
Ghaderi
najmeh_ghaderi@yahoo.com
`10031947532846007459`

10031947532846007459
Yes
ferdowsi university of mashhad
M. H.
Farahi
farahi@math.um.ac.ir
`10031947532846007460`

10031947532846007460
No
ferdowsi university of mashhad