An integral representation for the second variation of trajectory of a dynamical system under control is obtained. This representation contains some tensor of the third rank introduced here. A differential equation for this tensor is presented. A second order method for solution of the optimal control problem based on the second variation of a trajectory is proposed.

Original languageEnglish
Pages (from-to)188-194
Number of pages7
JournalCybernetics and Physics
Volume7
Issue number4
StatePublished - 1 Jan 2018

    Research areas

  • Numerical methods of optimal control, Optimal control problem, Second order method, Second variation of trajectory

    Scopus subject areas

  • Signal Processing
  • Physics and Astronomy (miscellaneous)
  • Computer Vision and Pattern Recognition
  • Fluid Flow and Transfer Processes
  • Control and Optimization
  • Artificial Intelligence

ID: 39946762