Title : ( The Numerical Solution of Some Optimal Control Systems with Constant and Pantograph Delays via Bernstein Polynomials )
Authors: Najmeh Ghaderi , Mohammad Hadi Farahi ,
Full TextAbstract
Abstract. 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 statecontrol 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.
Keywords
, Optimal control with pantograph systems, Optimal control with time delay, Pantograph delay differential equation, Bernstein polynomial
@article{paperid:1082160,
author = {Ghaderi, Najmeh and Farahi, Mohammad Hadi},
title = {The Numerical Solution of Some Optimal Control Systems with Constant and Pantograph Delays via Bernstein Polynomials},
journal = {Iranian Journal of Mathematical Sciences and Informatics},
year = {2020},
volume = {15},
number = {2},
month = {September},
issn = {1735-4463},
pages = {163--181},
numpages = {18},
keywords = {Optimal control with pantograph systems; Optimal control with
time delay; Pantograph delay differential equation; Bernstein polynomial},
}
%0 Journal Article
%T The Numerical Solution of Some Optimal Control Systems with Constant and Pantograph Delays via Bernstein Polynomials
%A Ghaderi, Najmeh
%A Farahi, Mohammad Hadi
%J Iranian Journal of Mathematical Sciences and Informatics
%@ 1735-4463
%D 2020
