Controllability and observability of linear impulsive differential algebraic system with Caputo fractional derivative

Zehra A., Younus A., Tunç C.

COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, cilt.10, sa.1, ss.200-214, 2022 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 1
  • Basım Tarihi: 2022
  • Doi Numarası: 10.22034/cmde.2020.39372.1724
  • Dergi Adı: COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.200-214
  • Anahtar Kelimeler: Controllability, Observability, Drazin inverse, Caputo fractional derivative, DRAZIN INVERSE, STABILITY, EQUATIONS
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

Linear impulsive fractional differential-algebraic systems (LIFDAS) in a finite dimensional space are studied. We obtain the solution of LIFDAS. Using Gramian matrices, necessary and sufficient conditions for controllability and observability of time-varying LIFDAS are established. We acquired the criterion for time-invariant LIFDAS in the form of rank conditions. The results are more generalized than the results that are obtained for various differential-algebraic systems without impulses.