About the Bang-Bang Principle for piecewise affine systems - CIRAD - Centre de coopération internationale en recherche agronomique pour le développement
Conference Papers Year : 2024

About the Bang-Bang Principle for piecewise affine systems

Abstract

We show that for piecewise affine controlled systems, the Bang-Bang Principle does not hold even when the dynamics is continuous with respect to the state variable. However, we show that there exist minimal time trajectories with extreme controls at the loci where the dynamics is differentiable. We give two examples which exhibit singular arcs exactly at the loci of non-differentiability.
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Dates and versions

hal-04663130 , version 1 (26-07-2024)

Identifiers

  • HAL Id : hal-04663130 , version 1

Cite

Ruben Chenevat, Bruno Cheviron, Sébastien Roux, Alain Rapaport. About the Bang-Bang Principle for piecewise affine systems. 63rd IEEE Conference on Decision and Control (CDC 2024), IEEE Control Systems Society, Dec 2024, Milan, Italy. ⟨hal-04663130⟩
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