Connection between singular arcs in optimal control using bridges. Physical occurence and Mathematical model

Abstract : In the time minimal control problem, singular arcs are omnipresent to determine the optimal solutions and leads to the well known turnpike phenomenon [1]. Very recently, this connection between singular arcs using a bang arc was shown to be relevant to saturate a single spin in Magnetic Resonance Imaging. Based on this example we propose a mathematical model to analyze such connection, which is called a bridge. This is applied to compute bridges in the optimization of chemical reaction networks using temperature control.
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Toufik Bakir, Bernard Bonnard, Jérémy Rouot. Connection between singular arcs in optimal control using bridges. Physical occurence and Mathematical model. CDC 2019 - 58th Conference on Decision and Control, Dec 2019, Nice, France. ⟨hal-02050014v3⟩

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