On Global Search for Non-Convex Optimal Control Problems

  • Alexander Strekalovsky
  • Igor Vasiliev
Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 18)


In this paper we consider non-convex optimal control problems having the same goal: to maximize a convex function of the terminal state. A global search algorithm is given. The first numerical tests have been performed.


Local Search Optimal Control Problem Global Search Admissible Control Local Search Algorithm 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. 1.
    Pontryagin, L.S, Boltyanski, R.G., Gamkrelidze, R.V., and Mischenko, E.F. (1962), Mathematical Theory of Optimal Processes. Interscience Publ. Inc., New York.zbMATHGoogle Scholar
  2. 2.
    Vasiliev, F.P. (1988), Numerical Methods of Extremum Problems Solving, Moscow, Nauka (in Russian).Google Scholar
  3. 3.
    Bellman R.E., Dreyfus S.E. (1962), Applied Dynamic Programming, Prinston University Press.zbMATHGoogle Scholar
  4. 4.
    Krotov, V.F. and Gurman V.I. (1973), Methods and problems of Optimal Control, Moscow, Nauka (in Russian).Google Scholar
  5. 5.
    Srochko, V.A. (1989), Variational Maximum Principle and Linearization Methods in Optimal Control Problems, Irkutsk State University (in Russian).Google Scholar
  6. 6.
    Strekalovsky, A.S. (1995), On Global Maximum of a Convex Terminal Function in Optimal Control Problems. Journal of Global Optimization, vol. 7, pp. 75–91.MathSciNetzbMATHCrossRefGoogle Scholar
  7. 7.
    Strekalovsky, A.S. (1993), On Global Maximum Search of a Convex Function over a Feasible Set. Journal of Computational Mathematics and Mathematical Physics, vol. 33, N 3, pp. 315–328, Pergamon Press Ltd.Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 1997

Authors and Affiliations

  • Alexander Strekalovsky
    • 1
  • Igor Vasiliev
    • 1
  1. 1.Mathematical DepartmentIrkutsk State UniversityIrkutsk-3Russia

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