Journal
APPLIED MATHEMATICAL MODELLING
Volume 36, Issue 11, Pages 5614-5623Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2012.01.013
Keywords
Homotopy perturbation method; Optimal control problems; Hamilton-Jacobi-Bellman equation; He's polynomials
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In this paper, we give an analytical-approximate solution for the Hamilton-Jacobi-Bellman (HJB) equation arising in optimal control problems using He's polynomials based on homotopy perturbation method (HPM). Applying the HPM with He's polynomials, solution procedure becomes easier, simpler and more straightforward. The comparison of the HPM results with the exact solution. Modal series and measure theoretical method are made. Some illustrative examples are given to demonstrate the simplicity and efficiency of the proposed method. (C) 2012 Elsevier Inc. All rights reserved.
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