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arXiv · 2412.07438

Flows of vector fields and the Kalman Theorem

Fabio Bagagiolo·Cristina Giannotti·Andrea Spiro·Marta Zoppello
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Abstract

We give two proofs of the Kalman Theorem, alternative to the most common ones, which infer such a classical result of Control Theory using just very basic facts on flows of vector fields. These proofs are apt to be generalised in diverse directions -- in fact one of them has been already generalised, yielding new criteria for local controllability of non-linear real analytic controlled systems.

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Fabio Bagagiolo, Cristina Giannotti, Andrea Spiro, Marta Zoppello. 2024-12-10. Flows of vector fields and the Kalman Theorem. https://arxiv.org/abs/2412.07438

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