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Pré-Publication, Document De Travail Année : 2023

Approximate and exact controllability criteria for linear one-dimensional hyperbolic systems

Résumé

This paper deals with the controllability of linear one-dimensional hyperbolic systems. Reformulating the problem in terms of linear difference equations and making use of infinite-dimensional realization theory, we obtain both necessary and sufficient conditions for approximate and exact controllability, expressed in the frequency domain. The results are applied to flows in networks.
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Dates et versions

hal-04228797 , version 1 (04-10-2023)
hal-04228797 , version 2 (05-01-2024)

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  • HAL Id : hal-04228797 , version 2

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Yacine Chitour, Sébastien Fueyo, Guilherme Mazanti, Mario Sigalotti. Approximate and exact controllability criteria for linear one-dimensional hyperbolic systems. 2023. ⟨hal-04228797v2⟩
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