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BVPs Codes for Solving Optimal Control Problems

Author

Listed:
  • Francesca Mazzia

    (Dipartimento di Informatica, Università degli Studi di Bari Aldo Moro, 70125 Bari, Italy
    These authors contributed equally to this work.)

  • Giuseppina Settanni

    (Dyrecta Laboratory, Instituto di Ricerca, Via Vescovo Simplicio 45, 70014 Conversano, Italy
    These authors contributed equally to this work.)

Abstract

Optimal control problems arise in many applications and need suitable numerical methods to obtain a solution. The indirect methods are an interesting class of methods based on the Pontryagin’s minimum principle that generates Hamiltonian Boundary Value Problems (BVPs). In this paper, we review some general-purpose codes for the solution of BVPs and we show their efficiency in solving some challenging optimal control problems.

Suggested Citation

  • Francesca Mazzia & Giuseppina Settanni, 2021. "BVPs Codes for Solving Optimal Control Problems," Mathematics, MDPI, vol. 9(20), pages 1-29, October.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:20:p:2618-:d:658234
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    Cited by:

    1. Fasma Diele, 2022. "Differential Equation Models in Applied Mathematics: Theoretical and Numerical Challenges," Mathematics, MDPI, vol. 10(2), pages 1-3, January.

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