期刊
APPLIED MATHEMATICAL MODELLING
卷 36, 期 11, 页码 5614-5623出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2012.01.013
关键词
Homotopy perturbation method; Optimal control problems; Hamilton-Jacobi-Bellman equation; He's polynomials
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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