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Kazemi, Fatemeh, Alipour, Maryam. (1402). A new application of q- homotopy analysis method to solve non-linear optimal control problems. پژوهشنامه مدیریت اجرایی, 12(1), 105-127. doi: 10.22080/cjms.2022.22666.1615
Fatemeh Kazemi; Maryam Alipour. "A new application of q- homotopy analysis method to solve non-linear optimal control problems". پژوهشنامه مدیریت اجرایی, 12, 1, 1402, 105-127. doi: 10.22080/cjms.2022.22666.1615
Kazemi, Fatemeh, Alipour, Maryam. (1402). 'A new application of q- homotopy analysis method to solve non-linear optimal control problems', پژوهشنامه مدیریت اجرایی, 12(1), pp. 105-127. doi: 10.22080/cjms.2022.22666.1615
Kazemi, Fatemeh, Alipour, Maryam. A new application of q- homotopy analysis method to solve non-linear optimal control problems. پژوهشنامه مدیریت اجرایی, 1402; 12(1): 105-127. doi: 10.22080/cjms.2022.22666.1615

A new application of q- homotopy analysis method to solve non-linear optimal control problems

Caspian Journal of Mathematical Sciences (CJMS)
دوره 12، شماره 1 - شماره پیاپی 23، شهریور 2023، صفحه 105-127    اصل مقاله (329.62 K)
نوع مقاله: Research Articles
شناسه دیجیتال (DOI): 10.22080/cjms.2022.22666.1615
نویسندگان
Fatemeh Kazemi1؛ Maryam Alipour* 2
1Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran.
2Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran
تاریخ دریافت: 28 آبان 1400،  تاریخ بازنگری: 24 آبان 1401،  تاریخ پذیرش: 05 آذر 1401 
چکیده
This paper advances a new application of q-homotopy analysis method (q-HAM)
to solve non-linear optimal control problems(NOCPs). First, the NOCP was transformed
into a non-linear two-point boundary value problem by using the Pontryagins
maximum principle (PMP). Then, we applied the q-HAM to solve this system. The
proposed method is based on the HAM but the q-HAM, has an increased interval
of convergence than the HAM. Three examples are provided to demonstrate the reliability
and efficiency of the method. Next, the numerical results of the proposed
method are compared with those of other methods. As can be seen from the tables,
the maximum error in the second and third examples is much better than other
methods.
کلیدواژه‌ها
q- homotopy analysis method؛ Non-linear optimal control problems؛ Pontryagins maximum principle؛ Analytic - approximate solution
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