ناشر تخصصی کنفرانس های ایران

لطفا کمی صبر نمایید

Publisher of Iranian Journals and Conference Proceedings

Please waite ..
Publisher of Iranian Journals and Conference Proceedings
Login |Register |Help |عضویت کتابخانه ها
Paper
Title

On the numerical solution of optimal control problems via Bell polynomials basis

Year: 1399
COI: JR_IJNAO-10-2_010
Language: EnglishView: 42
This Paper With 25 Page And PDF Format Ready To Download

Buy and Download

با استفاده از پرداخت اینترنتی بسیار سریع و ساده می توانید اصل این Paper را که دارای 25 صفحه است به صورت فایل PDF در اختیار داشته باشید.
آدرس ایمیل خود را در کادر زیر وارد نمایید:

Authors

Mohammad Reza Dadashi - Department of Mathematics, Payame Noor University, Tehran, Iran.
Ahmad Reza Haghighi - Department of Mathematics, Technical and Vocational University, Tehran, Iran.
Fahimeh Soltanian - Department of Mathematics, Payame Noor University, Tehran, Iran.
Ayatollah Yari - Department of Mathematics, Payame Noor University, Tehran, Iran.

Abstract:

We present a new numerical approach to solve the optimal control problems (OCPs) with a quadratic performance index. Our method is based on the Bell polynomials basis. The properties of Bell polynomials are explained. We also introduce the operational matrix of derivative for Bell polynomials. The chief feature of this matrix is reducing the OCPs to an optimization problem. Finally, we discuss the convergence of the new technique and present some illustrative examples to show the effectiveness and applicability of the proposed scheme. Comparison of the proposed method with other previous methods shows that this method is accurate.

Keywords:

Optimal control problems, Bell polynomial, Best approximation, Operational matrix of derivative

Paper COI Code

This Paper COI Code is JR_IJNAO-10-2_010. Also You can use the following address to link to this article. This link is permanent and is used as an article registration confirmation in the Civilica reference:

https://civilica.com/doc/1170457/

How to Cite to This Paper:

If you want to refer to this Paper in your research work, you can simply use the following phrase in the resources section:
Dadashi, Mohammad Reza and Haghighi, Ahmad Reza and Soltanian, Fahimeh and Yari, Ayatollah,1399,On the numerical solution of optimal control problems via Bell polynomials basis,https://civilica.com/doc/1170457

مراجع و منابع این Paper:

لیست زیر مراجع و منابع استفاده شده در این Paper را نمایش می دهد. این مراجع به صورت کاملا ماشینی و بر اساس هوش مصنوعی استخراج شده اند و لذا ممکن است دارای اشکالاتی باشند که به مرور زمان دقت استخراج این محتوا افزایش می یابد. مراجعی که مقالات مربوط به آنها در سیویلیکا نمایه شده و پیدا شده اند، به خود Paper لینک شده اند :

  • Aguilar, C. and Krener, A. Numerical solutions to the Bellman ...
  • Ahmed, H.F. and Melad, M.B. A new approach for solving ...
  • Akbarian, T. and Keyanpour, M. A new approach to the ...
  • Bell, E.T. Exponential polynomials. Ann. Math. (2) 35 (1934), no. ...
  • Boyadzhiev, K.N. Exponential polynomials, Stirling numbers and evaluation of some ...
  • Feng, Q. and Guo B.N. Relations, among Bell polynomials, central ...
  • Frego, M. Numerical methods for optimal control problems with application ...
  • Ghomanjani, F. and Farahi, M.H. Optimal control of switched systems ...
  • Grigoryev, I., Mustafina, S. and Larin, O. Numerical solution of ...
  • Inman, D.J. Vibration with control, John Wiley Sons, Ltd. 2006. ...
  • Kafash, B., Delavarkhalafi, A., Karbassi, M. and Boubaker, K. A ...
  • Kreyszig, E. Introductory functional analysis with applications, John Wiley & ...
  • Lancaster, P. Theory of Matrices, New York, Academic Press, 1969. ...
  • Lewis, F.L., Vrabie, D.L. and Syrmos, V.L. Optimal control, Third ...
  • Mirzaee, F. Numerical solution of nonlinear Fredholm-Volterra integral equations via ...
  • Oruh, I.B. and Agwu, U.E. Application of Pontryagin’s maximum principles ...
  • Pesch, H.J. A practical guide to the solution of real ...
  • Ramazani, M. Numerical solution of optimal control problems by using ...
  • Rogalsky, T. Bezier parameterization for optimal control by differential evolution, ...
  • Rose, G.R. Numerical methods for solving optimal control problems, Master’s ...
  • Sharif, H.R.,Vali, M.A., Samava M. and Gharavisi, A.A. A new ...
  • Stanley, R.P. Enumerative combinatorics, Cambridge University Press, 2011. ...
  • Wakhare, T. Refinements of the Bell Stirling numbers, Trans. Comb. ...
  • Yari, A.A. and Mirnia, M. Solving optimal control problems by ...
  • Yari, A.A., Mirnia M. and Lakestani, M. Investigation of optimal ...
  • Yousefi, S.A., Lotfi, A. and Dehghan, M. The use of ...
  • Research Info Management

    Certificate | Report | من نویسنده این مقاله هستم

    اطلاعات استنادی این Paper را به نرم افزارهای مدیریت اطلاعات علمی و استنادی ارسال نمایید و در تحقیقات خود از آن استفاده نمایید.

    Scientometrics

    The specifications of the publisher center of this Paper are as follows:
    Type of center: پیام نور
    Paper count: 52,942
    In the scientometrics section of CIVILICA, you can see the scientific ranking of the Iranian academic and research centers based on the statistics of indexed articles.

    Share this page

    More information about COI

    COI stands for "CIVILICA Object Identifier". COI is the unique code assigned to articles of Iranian conferences and journals when indexing on the CIVILICA citation database.

    The COI is the national code of documents indexed in CIVILICA and is a unique and permanent code. it can always be cited and tracked and assumed as registration confirmation ID.

    Support