Open AccessControllability of conformable differential systems
Author(s) -
Xiaowen Wang,
JinRong Wang,
Michal Fečkan
Publication year - 2020
Publication title -
nonlinear analysis
Language(s) - English
Resource type - Journals
eISSN - 2335-8963
pISSN - 1392-5113
DOI - 10.15388/namc.2020.25.18135
Subject(s) - conformable matrix , controllability , mathematics , rank (graph theory) , linear system , differential (mechanical device) , topology (electrical circuits) , mathematical analysis , engineering , combinatorics , physics , quantum mechanics , aerospace engineering
This paper deals with complete controllability of systems governed by linear and semilinear conformable differential equations. By establishing conformable Gram criterion and rank criterion, we give sufficient and necessary conditions to examine that a linear conformable system is null completely controllable. Further, we apply Krasnoselskii’s fixed point theorem to derive a completely controllability result for a semilinear conformable system. Finally, three numerical examples are given to illustrate our theoretical results.