On discrete-time linear systems with almost-periodic kernels


Jacob B., Partington J., Unalmis B.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.252, sa.2, ss.549-570, 2000 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 252 Konu: 2
  • Basım Tarihi: 2000
  • Doi Numarası: 10.1006/jmaa.2000.6997
  • Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
  • Sayfa Sayıları: ss.549-570

Özet

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. (C) 2000 Academic Press.