Abstract
A characterisation of discrete time linear periodic systems is presented, based on a general framework using cyclic projection operators on sequences. Two known liftings of periodic systems to a time invariant one, the monodromy and the cyclic representation, are readily derived in this framework. This approach also leads to the definition of the operational transfer function for such systems, and more generally, the operational transfer inclusion. It is shown that the cyclic realisation allows the multiplexing of individual realisations of a periodic system. These descriptions are useful in the realisation problem and the search for canonical forms. Parameterisations for the class of reachable systems are recalled, and their geometric and topological features are illustrated.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
