In some applications, one is interested in having a state–space realization with nonnegative matrices (positive realization) of a given transfer function and it is known that such a realization may have a dimension strictly larger than the order of the transfer function itself. The aim of this letter is to provide a lower bound on the minimum dimension of a positive realization taking into account some spectral properties of nonnegative matrices.
A lower bound on the dimension of minimal positive realizations for discrete time systems / Benvenuti, L.. - In: SYSTEMS & CONTROL LETTERS. - ISSN 0167-6911. - 135:(2020). [10.1016/j.sysconle.2019.104595]
A lower bound on the dimension of minimal positive realizations for discrete time systems
Benvenuti L.
2020
Abstract
In some applications, one is interested in having a state–space realization with nonnegative matrices (positive realization) of a given transfer function and it is known that such a realization may have a dimension strictly larger than the order of the transfer function itself. The aim of this letter is to provide a lower bound on the minimum dimension of a positive realization taking into account some spectral properties of nonnegative matrices.| File | Dimensione | Formato | |
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