Nonlinear Engineering (Sep 2022)

Distinguishability criteria of conformable hybrid linear systems

  • Younus Awais,
  • Dastgeer Zoubia,
  • Rathour Laxmi,
  • Mishra Lakshmi Narayan,
  • Mishra Vishnu Narayan,
  • Pandey Shikha

DOI
https://doi.org/10.1515/nleng-2022-0045
Journal volume & issue
Vol. 11, no. 1
pp. 420 – 427

Abstract

Read online

We relate this article to the emerging idea of distinguishability of conformable linear hybrid time-invariant control systems. To obtain the necessary and sufficient conditions of α\alpha -distinguishability for fractional cases, we develop the Leibnitz rule for conformable derivatives. Furthermore, with the help of a study of Laplace techniques, a more simple criterion of α\alpha -distinguishability for the fractional linear system is developed.

Keywords