Passive linear discrete-time systems: Characterization through structure
نویسندگان
چکیده
We here show that the family of finite-dimensional, discrete-time, passive, linear time-invariant systems can be characterized through structure a matrix-convex set, which is maximal in sense being closed under products its elements Moreover, this observation unifies three setups: (i) difference inclusions, (ii) matrix-valued rational functions, (iii) realization arrays associated with functions. It turns out continuous-time case corresponding cone inversion.
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2021
ISSN: ['1873-1856', '0024-3795']
DOI: https://doi.org/10.1016/j.laa.2021.02.006