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

Leonardo Mazzini ()
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Leonardo Mazzini: Thales alenia space Italy

A chapter in Modeling and Optimization in Space Engineering, 2023, pp 221-249 from Springer

Abstract: 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.

Keywords: Sufficient conditions; Bang–bang control; Maximum principle; Orbital transfers (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-031-24812-2_8

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DOI: 10.1007/978-3-031-24812-2_8

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