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Introduction

Giorgio Fasano ()
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Giorgio Fasano: Thales Alenia Space

A chapter in New Trends and Challenges in Optimization Theory Applied to Space Engineering, 2025, pp 107-111 from Springer

Abstract: Abstract Multi-stage optimal control problems are characterized by the fact that a change in the operating scenario (e.g., in the dynamics) and/or in the optimization criterion occurs, at one or more time moments of the process under study. Formally, this means that the optimal control problem is defined by state equations and/or objective functions that are specifically defined over a number of subintervals. The literature on multi-stage optimal control is extensive, of interest to many disciplines, and considers both deterministic and stochastic perspectives (see e.g., [1–11]). Multi-stage optimal control problems are very common in the space domain when the mission consists of different phases, such as orbital insertion, coasting, flyby exploitation, rendezvous, re-entry, and landing. Hence, not surprisingly, multi-stage optimal control in space has long been a fundamental topic. A historical example is the first two-stage liquid-fueled rocket launch on May 13, 1948, at the White Sands Proving Ground (WSPG) in New Mexico (see https://www.nasa.gov/history/75-years-ago-first-launch-of-a-two-stage-rocket/ ). This was a precursor to the actual missions into space.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-031-81253-8_8

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DOI: 10.1007/978-3-031-81253-8_8

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