Controllability and observability behaviors of a non-homogeneous conformable fractional dynamical system compatible with some electrical applications
Abstrak
Abstract In this work, we discuss the controllability and observability behaviors of a non-homogeneous conformable fractional dynamical system (C-FDS) based on the conformable fractional exponential matrix (C-FEM) and fractional Grammian matrix (FGM). Moreover, the nice relationships between controllability, observability, and stability for non-homogeneous C-FDS are derived. To demonstrate the effectiveness of our obtained results, we present the general solutions (GSs), controllability, observabilities and stabilities to three attractive physical and engineering problems related to compatibility with conformable fractional electrical circuits (C-FECs). Finally, the fractional and classical behaviors of each problem have been covered, respectively, when α = 1 2 and α = 1 .
Topik & Kata Kunci
Penulis (1)
Z. Al-Zhour
Akses Cepat
- Tahun Terbit
- 2021
- Bahasa
- en
- Total Sitasi
- 25×
- Sumber Database
- Semantic Scholar
- DOI
- 10.1016/j.aej.2021.07.018
- Akses
- Open Access ✓