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Information Journal Paper

Title

Solving The Optimal Control Problems Using Homotopy Perturbation Transform Method

Pages

  25-38

Keywords

Homotopy Perturbation Transform Method (HPTM) 
Homotopy Perturbation Method (HPM) 
Optimal control problems(OCP) 
Hamilton-Jocobi-Bellman(HJB) 

Abstract

 In this paper, we solve Hamilton-Jocobi-Bellman (HJB) equations arising in optimal control problems using Homotopy Perturbation Transform Method (HPTM). The proposed method is a combined form of the Laplace Transformation Method with the Homotopy Perturbation Method to produce a highly effective method to handle many problems. Applying the HPTM, solution procedure becomes easier, simpler and more straightforward. Some illustrative examples are given to demonstrate the simplicity and efficiency of the proposed method.

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  • Cite

    APA: Copy

    Aalipour, M., SOLTANIAN, F., VAHIDI, J., & GHASEMPOUR, S.. (2019). Solving The Optimal Control Problems Using Homotopy Perturbation Transform Method. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 10(Special Issue), 25-38. SID. https://sid.ir/paper/340955/en

    Vancouver: Copy

    Aalipour M., SOLTANIAN F., VAHIDI J., GHASEMPOUR S.. Solving The Optimal Control Problems Using Homotopy Perturbation Transform Method. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS[Internet]. 2019;10(Special Issue):25-38. Available from: https://sid.ir/paper/340955/en

    IEEE: Copy

    M. Aalipour, F. SOLTANIAN, J. VAHIDI, and S. GHASEMPOUR, “Solving The Optimal Control Problems Using Homotopy Perturbation Transform Method,” INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, vol. 10, no. Special Issue, pp. 25–38, 2019, [Online]. Available: https://sid.ir/paper/340955/en

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