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Extremals Field Theory

In: Optimal Control

Author

Listed:
  • Leonid T. Ashchepkov

    (Department of Mathematics, Institute of Mathematics and Computer Technologies, Far Eastern Federal University)

  • Dmitriy V. Dolgy

    (Kwangwoon Glocal Education Center, Kwangwoon University, Department of Mathematics, Institute of Mathematics and Computer Technologies Far Eastern Federal University Vladivostok, Russia)

  • Taekyun Kim

    (Kwangwoon University, Department of Mathematics)

  • Ravi P. Agarwal

    (Texas A&M University - Kingsville, Mathematics)

Abstract

We introduce the concept “field of extremals” and prove the main statement of the section on the optimality of extremals – sufficiency of the maximum principle. We also consider on the application of extremals field theory to the problem of constructing invariant systems.

Suggested Citation

  • Leonid T. Ashchepkov & Dmitriy V. Dolgy & Taekyun Kim & Ravi P. Agarwal, 2021. "Extremals Field Theory," Springer Books, in: Optimal Control, edition 2, chapter 0, pages 185-201, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-91029-7_14
    DOI: 10.1007/978-3-030-91029-7_14
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