The Numerical Solution of Some Optimal Control Systems with Constant and Pantograph Delays via Bernstein Polynomials

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Article Type:
Research/Original Article (دارای رتبه معتبر)
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 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.

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:15 Issue: 2, Nov 2020
Pages:
163 to 181
https://www.magiran.com/p2194667  
سامانه نویسندگان
  • Ghaderi، Najmeh
    Corresponding Author (1)
    Ghaderi, Najmeh
    (1399) دکتری ریاضی کاربردی، دانشگاه گیلان
  • Farahi، Mohammad Hadi
    Author (2)
    Farahi, Mohammad Hadi
    Professor Applied Mathematics, Ferdowsi University, مشهد, Iran
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