The First Survey for Abilities of Wavelets in Solving Optimal Control Problems by Embedding Methods

Author(s):

A. Fakharzadeh* , S. A. Ghasemiyan , A. J. Badiozzaman

Message:
Article Type:
Research/Original Article (بدون رتبه معتبر)
Abstract:

By a brief review on the applications of wavelets in solving optimal control problems, a multiresolution analysis for two dimensional Sobolev spaces and the square spline wavelets are considered. Regarding the density and approximation properties of these wavelets, for the first time, they are employed for solving optimal control problems by embedding method. Existence and the determination way for the solution are also discussed. Finally, the abilities of the new approach are explained by a numerical example and some comparisons.

Keywords:

multiresolution analysis , wavelet , Radon measure , linear programming , optimal control

Language:
English
Published:
Journal of Mathematical Extension, Volume:1 Issue: 2, Spring 2007
Pages:
81 to 96
https://www.magiran.com/p2263108