Network Structure Identification Based on Measured Output Data Using Koopman Operators

نویسندگان

چکیده

This paper considers the identification problem of network structures interconnected dynamical systems using measured output data. In particular, we propose an method based on data each node in whose dynamic is unknown. The proposed consists three steps: first consider outputs nodes to be all states dynamics nodes, and unmeasurable hidden inputs with unknown dynamics. second step, define as new variables identify system Koopman operators. Finally, extract structure from identified information transmitted via network. We show that coupling functions, which represent structures, are actually projections onto space spanned by some observable functions. Numerical examples illustrate validity obtained results.

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ژورنال

عنوان ژورنال: Mathematics

سال: 2022

ISSN: ['2227-7390']

DOI: https://doi.org/10.3390/math11010089