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S. Effati, M. Janfada and M. Esmaeili, “Solving the Optimal Control Problem of the Parabolic PDEs in Exploitation of Oil,” Journal of Mathematical Analysis and Applications, Vol. 340, No. 1, 2008, pp. 606-620. doi:10.1016/j.jmaa.2007.08.037

has been cited by the following article:

• TITLE: Solving the Optimal Control of Linear Systems via Homotopy Perturbation Method

  AUTHORS: Fateme Ghomanjani, Sara Ghaderi, Mohammad Hadi Farahi

  KEYWORDS: Homotopy Perturbation Method; Optimal Control Problem; Hamilton System

  JOURNAL NAME: Intelligent Control and Automation, Vol.3 No.1, February 28, 2012

  ABSTRACT: In this paper, Homotopy perturbation method is used to find the approximate solution of the optimal control of linear systems. In this method the initial approximations are freely chosen, and a Homotopy is constructed with an embedding parameter , which is considered as a “small parameter”. Some examples are given in order to find the approximate solution and verify the efficiency of the proposed method.