Premium
Asymptotical stability analysis of Riemann‐Liouville q ‐fractional neutral systems with mixed delays
Author(s) -
Yang Wengui,
Alsaedi Ahmed,
Hayat Tasawar,
Fardoun Habib M.
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5700
Subject(s) - mathematics , stability (learning theory) , constant (computer programming) , riemann hypothesis , mathematical analysis , machine learning , computer science , programming language
This paper investigates the asymptotical stability of Riemann‐Liouville q ‐fractional neutral systems with mixed delays (constant time delay and distributed delay). By constructing some appropriate Lyapunov‐Kravsovskii functionals, some sufficient conditions on delay‐dependent and delay‐independent asymptotical stability are obtained in terms of linear matrix inequality (LMI). Our employed method is based on the direct calculation of quantum derivatives of the Lyapunov‐Kravsovskii functionals. Finally, two examples are presented to demonstrate the availability of our obtained results.