Asymptotical Stability of Riemann-Liouville Fractional Neutral System with Multiple Time-varying Delays

被引：0
作者：
Korkmaz, Erdal [1 ]
Ozdemir, Abdulhamit [1 ]
机构：
[1] Mus Alparslan Univ, Dept Math, TR-49250 Mus, Turkey
来源：
APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL | 2022年 / 17卷 / 01期
关键词：
Asymptotical stability; Fractional neutral systems; Riemann-Liouville derivative; Lyapunov functional; LMI; LYAPUNOV FUNCTIONS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this manuscript, we investigate the asymptotical stability of solutions of Riemann-Liouville fractional neutral systems associated to multiple time-varying delays. Then, we use the linear matrix inequality (LMI) and the Lyapunov-Krasovskii method to obtain sufficient conditions for the asymptotical stability of solutions of the system when the given delays are time dependent and one of them is unbounded. Finally, we present some examples to indicate the efficacy of the consequences obtained.
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页码：99 / 108
页数：11
相关论文
共 34 条
[1]   Lyapunov functions for fractional order systems [J].
Aguila-Camacho, Norelys ;
Duarte-Mermoud, Manuel A. ;
Gallegos, Javier A. .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2014, 19 (09) :2951-2957
[2]  
Altun Y, 2020, APPL APPL MATH, V15, P458
[3]  
[Anonymous], 1999, MATH SCI ENG
[4]  
[Anonymous], 2006, Science
[5]   Qualitative analysis of caputo fractional integro-differential equations with constant delays [J].
Bohner, Martin ;
Tunc, Osman ;
Tunc, Cemil .
COMPUTATIONAL & APPLIED MATHEMATICS, 2021, 40 (06)
[6]   On approximate solutions of some delayed fractional differential equations [J].
Brzdek, Janusz ;
Eghbali, Nasrin .
APPLIED MATHEMATICS LETTERS, 2016, 54 :31-35
[7]   Finite-time stability criteria for a class of fractional-order neural networks with delay [J].
Chen, Liping ;
Liu, Cong ;
Wu, Ranchao ;
He, Yigang ;
Chai, Yi .
NEURAL COMPUTING & APPLICATIONS, 2016, 27 (03) :549-556
[8]   New results on stability and stabilization of a class of nonlinear fractional-order systems [J].
Chen, Liping ;
He, Yigang ;
Chai, Yi ;
Wu, Ranchao .
NONLINEAR DYNAMICS, 2014, 75 (04) :633-641
[9]   Existence of solutions of initial value problems for nonlinear fractional differential equations [J].
Deng, Jiqin ;
Deng, Ziming .
APPLIED MATHEMATICS LETTERS, 2014, 32 :6-12
[10]  
Deng WH, 2007, NONLINEAR DYNAM, V48, P409, DOI [10.1007/s11071-006-9094-0, 10.1007/s11071 -006-9094-0]
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