Commutativity of systems with their feedback conjugates

Creative Commons License

Köksal M. E.

TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, cilt.41, sa.3, ss.696-700, 2019 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 41 Sayı: 3
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1177/0142331218765615
  • Dergi Adı: TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.696-700
  • Anahtar Kelimeler: Commutativity, feedback, time-varying systems, linear systems, robust control
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

After introducing commutativity concept and summarizing the relevant literature, this work is focused on the commutativity of feedback conjugates. It is already known that a linear time-varying differential system describing a single input-single output dynamical system is always commutative with its constant gain feedback pairs. In this article, it is proven that among the time-varying feedback conjugates of a linear time-varying system, constant feedback conjugates are the only commutative feedback pairs and any of the time-varying feedback conjugates cannot constitute a commutative pair of a linear time-varying system.