Minimal time for the exact controllability of one-dimensional first-order linear hyperbolic systems by one-sided boundary controls - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year : 2019

Minimal time for the exact controllability of one-dimensional first-order linear hyperbolic systems by one-sided boundary controls

Abstract

In this article we study the minimal time for the exact controllability of one-dimensional first-order linear hyperbolic systems when all the controls are acting on the same side of the boundary. We establish an explicit and easy-to-compute formula for this time with respect to all the coupling parameters of the system. The proof relies on the introduction of a canonical UL-decomposition and the compactness-uniqueness method.
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Dates and versions

hal-01982662 , version 1 (15-01-2019)
hal-01982662 , version 2 (20-02-2019)

Identifiers

  • HAL Id : hal-01982662 , version 2

Cite

Long Hu, Guillaume Olive. Minimal time for the exact controllability of one-dimensional first-order linear hyperbolic systems by one-sided boundary controls. 2019. ⟨hal-01982662v2⟩

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