TY - JOUR
ID - 4365
TI - Optimal control of time delay Fredholm integro-differential equations
JO - Journal of Mathematical Modeling
JA - JMM
LA - en
SN - 2345-394X
AU - Alipour, Maryam
AU - Soradi-Zeid, Samaneh
AD - Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran
AD - Faculty of Industry and Mining (khash), University of Sistan and Baluchestan, Zahedan, Iran
Y1 - 2021
PY - 2021
VL - 9
IS - 2
SP - 277
EP - 291
KW - Optimal control problems
KW - Dickson polynomials
KW - Time-delay equation
KW - Fredholm integrao-differential equation
KW - collocation points
DO - 10.22124/jmm.2020.17213.1496
N2 - This paper is devoted to solve a set of non-linear optimal control problems which are touched with time-delay Fredholm integro-differential equations. The serious objective of this work is to contribute an appropriate direct scheme for solving these problems. The technique used in this paper is based upon the Dickson polynomials and collocation points. Getting through the solutions, the states and controls variables can be approximated with Dickson polynomials. Therefore, the optimal control problem with time-delay integro-differential equation transforms into a system of algebraic equations that by solving it, we can obtain the unknown coefficients of the main problem. The residual error estimation of this technique is also investigated. Accuracy amount of the absolute errors have been studied for the performance of this method by solving several non-trivial examples.
UR - https://jmm.guilan.ac.ir/article_4365.html
L1 - https://jmm.guilan.ac.ir/article_4365_b1895f71be4e68731cb49dddd88a29e2.pdf
ER -