Optimal control of ordinary differential systems. Gradient methods

  • Sebastian Aniţa
  • Viorel Arnăutu
  • Vincenzo Capasso
Part of the Modeling and Simulation in Science, Engineering and Technology book series (MSSET)


This chapter is devoted to approximation methods, mainly of gradient type, for optimal control problems governed by ordinary differential equations. The main goal is to build corresponding MATLAB{ $Ⓡ$} programs. The calculation of the gradient of the cost functional allows us to develop gradient-type algorithms. We deal with minimization/maximization problems. As we show, the general principle of a gradient method is the same for both types of problems.


Optimal Control Problem Gradient Method Gradient Algorithm Descent Direction Adjoint Equation 
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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  • Sebastian Aniţa
    • 1
    • 2
  • Viorel Arnăutu
    • 3
  • Vincenzo Capasso
    • 4
    • 5
  1. 1.Faculty of MathematicsUniversity “Al.I. Cuza” IaşiIaşiRomania
  2. 2.Institute of Mathematics “Octav Mayer” IaşiIaşiRomania
  3. 3.Faculty of MathematicsUniversity “Al.I. Cuza” IaşiIaşiRomania
  4. 4.ADAMSS (Interdisciplinary Centre for Advanced Applied Mathematical and Statistical Sciences)MilanoItaly
  5. 5.Department of MathematicsUniversità degli Studi di MilanoMilanoItaly

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