Journal of Mathematical Sciences

, Volume 165, Issue 6, pp 710–731 | Cite as

Quadratic weak-minimum conditions for optimal control problems with intermediate constraints

  • A. M. Kaganovich


Optimal control problems with constraints at intermediate trajectory points are considered. By using a certain natural method (of reproduction of state and control variables), these problems reduce to the standard optimal control problem of Pontryagin type, which allows one to obtain quadratic weak-minimum conditions for them.


Quadratic Form Optimal Control Problem Closed Interval Lagrange Equation Adjoint Equation 
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© Springer Science+Business Media, Inc. 2010

Authors and Affiliations

  • A. M. Kaganovich
    • 1
  1. 1.M. V. Lomonosov Moscow State University, Department of Computational Mathematics and Cybernetics, Chair of Optimal ControlMoscowRussia

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