Approximate and exact controllability criteria for linear one-dimensional hyperbolic systems - Inria - Institut national de recherche en sciences et technologies du numérique
Article Dans Une Revue Systems and Control Letters Année : 2024

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)
hal-04228797 , version 3 (06-05-2024)

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Yacine Chitour, Sébastien Fueyo, Guilherme Mazanti, Mario Sigalotti. Approximate and exact controllability criteria for linear one-dimensional hyperbolic systems. Systems and Control Letters, 2024, 190 (105834). ⟨hal-04228797v3⟩
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