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arXiv · 2403.20113

The minimal control time for the exact controllability by internal controls of 1D linear hyperbolic balance laws

Long Hu·Guillaume Olive
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Abstract

In this article we study the internal controllability of 1D linear hyperbolic balance laws when the number of controls is equal to the number of state variables. The controls are supported in space in an arbitrary open subset. Our main result is a complete characterization of the minimal control time for the exact controllability property.

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Long Hu, Guillaume Olive. 2024-03-29. The minimal control time for the exact controllability by internal controls of 1D linear hyperbolic balance laws. https://doi.org/10.1051/cocv%2F2024069

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