Asymptotical stability analysis of Riemann-Liouville q-fractional neutral systems with mixed delays

被引：4
|
作者：
Yang, Wengui [1 ,2 ]
Alsaedi, Ahmed [3 ]
Hayat, Tasawar [4 ]
Fardoun, Habib M. [5 ]
机构：
[1] Southeast Univ, Sch Math, Nanjing 210096, Jiangsu, Peoples R China
[2] Sanmenxia Polytech, Dept Publ Educ, Sanmetuda 472000, Peoples R China
[3] King Abdulaziz Univ, Fac Sci, Dept Math, NAAM Res Grp, Jeddah, Saudi Arabia
[4] Quaid I Azam Univ, Dept Math, Islamabad, Pakistan
[5] King Abdulaziz Univ, Fac Comp & Informat Technol, Dept Informat Syst, Jeddah, Saudi Arabia
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2019年 / 42卷 / 14期
关键词：
asymptotical stability; Lyapunov-Kravsovskii functional approach; q-fractional neutral systems; Riemann-Liouville q-derivative; MITTAG-LEFFLER STABILITY; POSITIVE SOLUTIONS; Q-INTEGRALS; SYNCHRONIZATION; DISCRETE;
D O I：
10.1002/mma.5700
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：4876 / 4888
页数：13
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