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
- EP ID EP651706
- DOI 10.24297/jam.v12i9.129
- Views 154
- Downloads 0
Minimal Central Series of a Nilpotent Product of Abelian Lie Algebras
We determine the structure of the lower central terms and the structure of the minimal central terms of the nilpotent product of free abelian Lie algebras of finite rank.
Uniqueness of Solutionfor Nonlinear Implicit Fractional Differential Equation
We study the uniquenessof solutionfor nonlinear implicit fractional differential equation with initial condition involving Caputo fractional derivative. The technique used in our analysis is based on an application of Bi...
Generalization of a fixed point theorem of Suzuki type in complete convex space
The aim of this paper is to generalize a fixed point theorem given by Popescu[20]. We also complement and extend some very recent results proved by Suzuki [T. Suzuki, A generalized Banach contraction principle...
On the Calculation of Eigenvalues and Eigenvectors of Matrix Polynomials and Orthogonality Relations between their Eigenvectors
In the paper, the computation of the eigenvalues and eigenvectors of polynomial eigenvalue problem via standard eigenvalue problems is presented. We also establish orthogonality relations between the eigenvectors of matr...
Derivation of Yang -Mills equations from Maxwell Equations and Exact solutions
In this paper we derived the Yang-Mills equations from Maxwell equations. Consequent-ly we find a new form for self-duality equations. In addition exact solution class of the classical SU(2) Yang-Mills field equations in...