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arXiv · 2310.04088

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

Yacine Chitour·Sébastien Fueyo·Guilherme Mazanti·Mario Sigalotti
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Abstract

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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Yacine Chitour, Sébastien Fueyo, Guilherme Mazanti, Mario Sigalotti. 2023-10-06. Approximate and exact controllability criteria for linear one-dimensional hyperbolic systems. https://arxiv.org/abs/2310.04088

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