Linear conformable differential system and its controllability

Advances in Difference Equations

article

Younas, Awais¹  Abdeljawad, Thabet²  Batool, Rida¹  Zehra, Anum⁵  Alqudah, Manar A.⁶ 

[1] Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University;Department of Mathematics and General Sciences, Prince Sultan University;Department of Medical Research, China Medical University;Department of Computer Science and Information Engineering, Asia University;Pakistan Institute of Engineering and Technology;Department of Mathematical Sciences, Faculty of Sciences, Princess Nourah bint Abdulrahman University

关键词: Conformable differential systems;    Controllability;    Time-invariant;    Gramian matrix;   

DOI  :  10.1186/s13662-020-02899-0

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY