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The realization problem for linear periodic systems. (English) Zbl 0822.93019

Summary: The realization problem for discrete-time linear periodic systems is considered. Deep insight on the various complicated aspects of minimal, quasi-minimal and uniform realization is provided based on the knowlege of the structural properties of discrete-time periodic systems. The results hinge on the lifting isomorphism between such systems and time- invariant ones.

MSC:

93B15 Realizations from input-output data
93B20 Minimal systems representations
93C05 Linear systems in control theory
93C55 Discrete-time control/observation systems

Keywords:

time-dependent
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References:

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