Solving the Optimal Control of Linear Systems via Homotopy Perturbation Method

作     者：Fateme Ghomanjani Sara Ghaderi Mohammad Hadi Farahi 

作者机构：Department of Applied Mathematics Ferdowsi University of Mashhad Mashhad Iran 

出 版 物：《Intelligent Control and Automation》 (智能控制与自动化（英文）)

年 卷 期：2012年第3卷第1期

页      面：26-33页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Homotopy Perturbation Method Optimal Control Problem Hamilton System 

摘      要：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.