Abstract

This article deals with the sequential conformable linear equations. We have focused on the solution techniques of these equations and particularly on the controllability conditions of the time-invariant system. For the controllability conditions and results, we have defined the conformable controllability Gramian matrix, the conformable fundamental matrix, and the conformable controllability matrix.

Details

Title
Linear conformable differential system and its controllability
Author
Younas Awais 1 ; Thabet, Abdeljawad 2   VIAFID ORCID Logo  ; Rida, Batool 1 ; Anum, Zehra 3 ; Alqudah, Manar A 4 

1  Bahauddin Zakariya University, Centre for Advanced Studies in Pure and Applied Mathematics, Multan, Pakistan (GRID:grid.411501.0) (ISNI:0000 0001 0228 333X) 
2  Prince Sultan University, Department of Mathematics and General Sciences, Riyadh, Saudi Arabia (GRID:grid.443351.4) (ISNI:0000 0004 0367 6372); China Medical University, Department of Medical Research, Taichung, Taiwan (GRID:grid.254145.3) (ISNI:0000 0001 0083 6092); Asia University, Department of Computer Science and Information Engineering, Taichung, Taiwan (GRID:grid.252470.6) (ISNI:0000 0000 9263 9645) 
3  Pakistan Institute of Engineering and Technology, Multan, Pakistan (GRID:grid.411501.0) 
4  Princess Nourah bint Abdulrahman University, Department of Mathematical Sciences, Faculty of Sciences, Riyadh, Saudi Arabia (GRID:grid.449346.8) (ISNI:0000 0004 0501 7602) 
Publication year
2020
Publication date
Dec 2020
Publisher
Springer Nature B.V.
ISSN
1687-1839
e-ISSN
1687-1847
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.1186/s13662-020-02899-0
ProQuest document ID
2437644353
Copyright
© The Author(s) 2020. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.