Simultaneous observability of infinitely many strings and beams | Zendy

Vilmos Komornik | Zendy; Anna Chiara Lai | Zendy; Paola Loreti | Zendy

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Simultaneous observability of infinitely many strings and beams

Author(s) -

Vilmos Komornik,

Anna Chiara Lai,

Paola Loreti

Publication year - 2020

Publication title -

networks and heterogeneous media

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.732

H-Index - 34

eISSN - 1556-181X

pISSN - 1556-1801

DOI - 10.3934/nhm.2020017

Subject(s) - observability , generalization , mathematics , point (geometry) , vibration , mathematical analysis , pure mathematics , physics , geometry , acoustics

We investigate the simultaneous observability of infinite systems of vibrating strings or beams having a common endpoint where the observation is taking place. Our results are new even for finite systems because we allow the vibrations to take place in independent directions. Our main tool is a vectorial generalization of some classical theorems of Ingham, Beurling and Kahane in nonharmonic analysis.

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