Open AccessKalman rank criterion for the controllability of fractional impulse controlled systems
Author(s) -
Cai RuiYang,
Zhou HuaCheng,
Kou ChunHai
Publication year - 2020
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2019.0027
Subject(s) - controllability , control theory (sociology) , impulse (physics) , kalman filter , rank (graph theory) , mathematics , realisation , rank condition , computer science , statistics , control (management) , artificial intelligence , physics , quantum mechanics , combinatorics
This study aims to address the impulsive controllability of linear fractional impulse controlled systems. The authors establish the Kalman rank criterion to guarantee the impulsive controllability of the considered system. They also present the minimum number of impulsive controls for a realisation of such controllability. An example is finally presented to demonstrate the effectiveness of the authors' results.