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Volume 7, Issue 4
Some Explicit Class of Hybrid Methods for Optimal Control of Volterra Integral Equations

M. Reza Peyghami , M. Hadizadeh and A. Ebrahimzadeh

J. Info. Comput. Sci. , 7 (2012), pp. 253-266.

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  • Abstract
In this paper , we first extend and analyze the steepest descent method for solving optimal control problem for systems governed by Volterra integral equations . Then, we present some hybrid methods based on the extended steepest descent and two-step Newton methods, to solve the problem. The global convergence results are also established using some mild assumptions and conditions. Numerical results show that the proposed hybrid methods are more powerful and faster than the extended steepest descent method.
  • Keywords

Optimal control , Steepest descent, Two-step Newton's method , Volterra integral equation.

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COPYRIGHT: © Global Science Press

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@Article{JICS-7-253, author = {M. Reza Peyghami , M. Hadizadeh and A. Ebrahimzadeh}, title = {Some Explicit Class of Hybrid Methods for Optimal Control of Volterra Integral Equations}, journal = {Journal of Information and Computing Science}, year = {2024}, volume = {7}, number = {4}, pages = {253--266}, abstract = { In this paper , we first extend and analyze the steepest descent method for solving optimal control problem for systems governed by Volterra integral equations . Then, we present some hybrid methods based on the extended steepest descent and two-step Newton methods, to solve the problem. The global convergence results are also established using some mild assumptions and conditions. Numerical results show that the proposed hybrid methods are more powerful and faster than the extended steepest descent method. }, issn = {1746-7659}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22632.html} }
TY - JOUR T1 - Some Explicit Class of Hybrid Methods for Optimal Control of Volterra Integral Equations AU - M. Reza Peyghami , M. Hadizadeh and A. Ebrahimzadeh JO - Journal of Information and Computing Science VL - 4 SP - 253 EP - 266 PY - 2024 DA - 2024/01 SN - 7 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jics/22632.html KW - Optimal control , Steepest descent, Two-step Newton's method , Volterra integral equation. AB - In this paper , we first extend and analyze the steepest descent method for solving optimal control problem for systems governed by Volterra integral equations . Then, we present some hybrid methods based on the extended steepest descent and two-step Newton methods, to solve the problem. The global convergence results are also established using some mild assumptions and conditions. Numerical results show that the proposed hybrid methods are more powerful and faster than the extended steepest descent method.
M. Reza Peyghami , M. Hadizadeh and A. Ebrahimzadeh. (2024). Some Explicit Class of Hybrid Methods for Optimal Control of Volterra Integral Equations. Journal of Information and Computing Science. 7 (4). 253-266. doi:
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