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1. A hybrid algorithm for approximate optimal control of nonlinear Fredholm integral equations.

Author

Borzabadi, AkbarH., Fard, OmidS., and Mehne, HamedH.

Subjects
ALGORITHMS, FREDHOLM equations, NONLINEAR theories, ITERATIVE methods (Mathematics), STOCHASTIC convergence, NUMERICAL analysis, APPROXIMATION theory
Abstract

In this paper, a novel hybrid method based on two approaches, evolutionary algorithms and an iterative scheme, for obtaining the approximate solution of optimal control governed by nonlinear Fredholm integral equations is presented. By converting the problem to a discretized form, it is considered as a quasi-assignment problem and then an iterative method is applied to find an approximate solution for the discretized form of the integral equation. An analysis for convergence of the proposed iterative method and its implementation for numerical examples are also given. [ABSTRACT FROM AUTHOR]

Published
2012
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