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A Collection of Test Multiextremal Optimal Control Problems

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Optimization, Simulation, and Control

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 76))

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.

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Acknowledgements

This work is partly supported by Grants N 12-01-00193 and N 10-01-00595 of Russian Foundation for Basic Research.

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Authors and Affiliations

  1. Institute for System Dynamics and Control Theory SB RAS, 134 Lermontov St., 664033, Irkutsk, Russia

    Alexander Yu. Gornov, Tatiana S. Zarodnyuk, Taras I. Madzhara, Anna V. Daneeva & Irina A. Veyalko

Authors
  1. Alexander Yu. Gornov
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  2. Tatiana S. Zarodnyuk
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  3. Taras I. Madzhara
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  4. Anna V. Daneeva
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  5. Irina A. Veyalko
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Corresponding author

Correspondence to Alexander Yu. Gornov .

Editor information

Editors and Affiliations

  1. , Institute of Mathematics, National University of Mongolia, University Street 1, Ulaanbaatar, 210646, Erdenet, Mongolia

    Altannar Chinchuluun

  2. , Department of Industrial & Systems Engin, University of Florida, Weil Hall 401, Gainesville, 32611, Florida, USA

    Panos M. Pardalos

  3. The School of Economic Studies, Dept.of Mathematics & Computer Science, National University of Mongolia, Ulaanbaatar, 210646, Mongolia

    Rentsen Enkhbat

  4. , Centre for Process Systems Engineering, Imperial College London, South Kensington Campus, London, SW7 2AZ, United Kingdom

    E. N. Pistikopoulos

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Gornov, A.Y., Zarodnyuk, T.S., Madzhara, T.I., Daneeva, A.V., Veyalko, I.A. (2013). A Collection of Test Multiextremal Optimal Control Problems. In: Chinchuluun, A., Pardalos, P., Enkhbat, R., Pistikopoulos, E. (eds) Optimization, Simulation, and Control. Springer Optimization and Its Applications, vol 76. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-5131-0_16

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