S. Abbasbandy, “Homotopy Perturbation Method for Quadratic Riccati Differential Equation and Comparision with Adomian’s Decomposition Method,” Applied Applied Mathematics and Computation, Vol. 172, 2006, pp. 482-490.

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.