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

Zehra A., Younus A., Tunç C.

COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, vol.10, no.1, pp.200-214, 2022 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 10 Issue: 1
  • Publication Date: 2022
  • Doi Number: 10.22034/cmde.2020.39372.1724
  • Journal Name: COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.200-214
  • Keywords: Controllability, Observability, Drazin inverse, Caputo fractional derivative, DRAZIN INVERSE, STABILITY, EQUATIONS
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

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.