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Sufficient Optimality Conditions

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 Krotov method for obtaining the sufficient optimality conditions for optimal control problem with mixed constraints. It is illustrated the application of sufficient conditions for the solution of particular examples and the problem of analytical formation of the regulator. The relationship of sufficient optimality conditions and the Bellman method of dynamic programming is considered.

Suggested Citation

  • Leonid T. Ashchepkov & Dmitriy V. Dolgy & Taekyun Kim & Ravi P. Agarwal, 2021. "Sufficient Optimality Conditions," Springer Books, in: Optimal Control, edition 2, chapter 0, pages 203-212, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-91029-7_15
    DOI: 10.1007/978-3-030-91029-7_15
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