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Second-order Sufficient Conditions of Strong Minimality with applications to Orbital Transfers

In: Modeling and Optimization in Space Engineering

Author

Listed:
  • Leonardo Mazzini

    (Thales alenia space Italy)

Abstract

We present second-order Extended Sufficiency Conditions applicable without Strict Legendre Conditions and without local controllability assumption also in the frame of saturated and bang–bang control. We provide a procedure to maximize the interval where the Sufficient Conditions can be applied using a Riccati Matrix Equation and compare this procedure with the classic conjugate point condition. Applications to Finite and Infinite Thrust Orbital Transfer cases are given at the end.

Suggested Citation

  • Leonardo Mazzini, 2023. "Second-order Sufficient Conditions of Strong Minimality with applications to Orbital Transfers," Springer Optimization and Its Applications, in: Giorgio Fasano & János D. Pintér (ed.), Modeling and Optimization in Space Engineering, pages 221-249, Springer.
    • Handle: RePEc:spr:spochp:978-3-031-24812-2_8
    DOI: 10.1007/978-3-031-24812-2_8
    as

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