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A Collection of Test Multiextremal Optimal Control Problems

In: Optimization, Simulation, and Control

Author

Listed:
  • Alexander Yu. Gornov

    (Institute for System Dynamics and Control Theory SB RAS)

  • Tatiana S. Zarodnyuk

    (Institute for System Dynamics and Control Theory SB RAS)

  • Taras I. Madzhara

    (Institute for System Dynamics and Control Theory SB RAS)

  • Anna V. Daneeva

    (Institute for System Dynamics and Control Theory SB RAS)

  • Irina A. Veyalko

    (Institute for System Dynamics and Control Theory SB RAS)

Abstract

This chapter considers a collection of test optimal control problems that have been applied to test the efficiency of algorithms for many years. The techniques of comparative testing, statistical testing, and stress testing are used for creating problems of this set. The tests are designed in the same format: there is information about the known local extrema, optimal control and trajectory, attainable set approximation, and the number of Cauchy problems required to obtain the optimal value of an objective functional in each test. Currently the implemented collection includes about 100 test cases.

Suggested Citation

  • Alexander Yu. Gornov & Tatiana S. Zarodnyuk & Taras I. Madzhara & Anna V. Daneeva & Irina A. Veyalko, 2013. "A Collection of Test Multiextremal Optimal Control Problems," Springer Optimization and Its Applications, in: Altannar Chinchuluun & Panos M. Pardalos & Rentsen Enkhbat & E. N. Pistikopoulos (ed.), Optimization, Simulation, and Control, edition 127, pages 257-274, Springer.
    • Handle: RePEc:spr:spochp:978-1-4614-5131-0_16
    DOI: 10.1007/978-1-4614-5131-0_16
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    Cited by:

    1. Alexander Yu. Gornov & Tatiana S. Zarodnyuk & Anton S. Anikin & Evgeniya A. Finkelstein, 2020. "Extension technology and extrema selections in a stochastic multistart algorithm for optimal control problems," Journal of Global Optimization, Springer, vol. 76(3), pages 533-543, March.

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