Estimation of the Optimal Regularization Parameters in Optimal Control Problems with time delay

Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2016, Vol 12, Issue 9

Abstract

In this paper we use the L-curve method and the Morozov discrepancy principle for the estimation of the regularization parameter in the regularization of time-delayed optimal control computation. Zeroth order, first order and second order differential operators are considered. Two test examples show that the L-curve method and the two discrepancy principles give close estimations for the regularization parameters.

Authors and Affiliations

Eihab B M Bashier

Keywords

Related Articles

Analytical solutions of time-fractional advection problem

we use variational iteration method (VIM) to solve some nonlinear time-fractional advection problem.Compared to the other method, the VIM is direct and straightforward.

SOME NEW PROPERTIES ON TOPOLOGICAL SPACES

In this journey, we are going to explore the  separation axioms in greater detail. Separation axioms are one among the most common, important and interesting concepts in Topology. They can be used to define more re...

Numerical Solution of Fuzzy Differential Equations Based on Taylor Series by Using Fuzzy Neural Networks

In this paper a new method based on learning algorithm of Fuzzy neural network and Taylor series has been developed for obtaining numerical solution of fuzzy differential equations.A fuzzy trial solution of the fuzzy ini...

PSEUDO-SLANT SUBMANIFOLD IN KENMOTSU SPACE FORMS

In this paper, we study geometry of the pseudo-slant submanifold of a Kenmotsu space form. Necessary and suffcient conditions are given for a submanifold to be a pseudo-slant submanifold in Kenmotsu manifolds....

ALGEBRAIC PROOFS FERMAT'S LAST THEOREM, BEAL'S CONJECTURE

In this paper, the following statememt of Fermat's Last Theorem is proved. If x; y; z are positive integers, _ is an odd prime and z_ = x_ + y_; then x; y; z are all even. Also, in this paper, is proved Beal's conjecture...

Download PDF file
  • EP ID EP651706
  • DOI 10.24297/jam.v12i9.129
  • Views 139
  • Downloads 0

How To Cite

Eihab B M Bashier (2016). Estimation of the Optimal Regularization Parameters in Optimal Control Problems with time delay. JOURNAL OF ADVANCES IN MATHEMATICS, 12(9), 6589-6602. https://europub.co.uk/articles/-A-651706