Numerical method based on extended one-step schemes for optimal control problem with time-lags

F. Ibrahim, K. Hattaf, F. A. Rihan, S. Turek

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


In this paper, we develop extended one-step methods for solving optimal control problem for systems governed by delay differential equations(DDEs). The optimal control problem governed by ordinary differential equations have been considered in this paper as a case of the DDEs with the absence of delays. The proposed problem is reduced to either a constrained or unconstrained minimization problem according to the nature of the dynamic system and the given conditions. Pontryagin’s maximum (or minimum) principle is used to characterize the optimal controls. Numerical results with simulations compared with other methods are presented to show the efficiency of the methodology.

Original languageEnglish
Pages (from-to)1172-1181
Number of pages10
JournalInternational Journal of Dynamics and Control
Issue number4
Publication statusPublished - Dec 1 2017


  • Delay differential equations
  • Extended one-step methods
  • Indirect approach
  • Optimal control
  • Ordinary differential equations

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Civil and Structural Engineering
  • Modelling and Simulation
  • Mechanical Engineering
  • Control and Optimization
  • Electrical and Electronic Engineering


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