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On Discrete-Time Linear Systems with Almost-Periodic Kernels

✍ Scribed by Birgit Jacob; Jonathan R Partington; Banu Ünalmiş

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
147 KB
Volume
252
Category
Article
ISSN
0022-247X

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✦ Synopsis

The paper considers several different stability notions for discrete-time linear time-varying systems specified by almost-periodic kernels. Various input-output stability notions are analysed, including those in which the signal spaces consist of bounded power and asymptotically almost-periodic functions. Further, it is proved that every stable time-varying discrete time system commuting with a polynomial in the shift operator is periodic. An example shows that this result does not hold for unstable time-varying systems.

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