Connection between Singular Arcs in Optimal Control Using Bridges. Physical Occurence and Mathematical Model

Toufik Bakir1, Bernard Bonnard2, Jérémy Rouot3

  • 1Université de Bourgogne Franche-Comté
  • 2Institut de Mathématiques de Bourgogne
  • 3EPF: Ecole d'Ingénieur

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Category

Invited Session

Sessions

10:00 - 12:00 | Wed 11 Dec | Rhodes GH | WeA15

Geometric Optimal Control Theory and Applications

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Abstract

In the time minimal control problem, singular arcs are omnipresent to determine the optimal solutions and this 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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