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.