Transitivity of Commutativity for Second-Order Linear Time-Varying Analog Systems

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Köksal M. E.

CIRCUITS SYSTEMS AND SIGNAL PROCESSING, cilt.38, sa.3, ss.1385-1395, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 38 Sayı: 3
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1007/s00034-018-0911-8
  • Dergi Adı: CIRCUITS SYSTEMS AND SIGNAL PROCESSING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1385-1395
  • Anahtar Kelimeler: Differential equations, Initial conditions, Linear time-varying systems, Commutativity, Transitivity
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

It is proven that the transitivity property of commutativity is always valid for second-order linear time-varying analog systems whether their initial states are zero or not. Throughout the study, it is assumed that the subsystems considered cannot be obtained from each other by any feed-forward and feedback structure. The results are well validated by MATLAB simulations.