Global asymptotic synchronization of impulsive fractional-order complex-valued memristor-based neural networks with time varying delays

被引：67
|
作者：
Ali, M. Syed [1 ]
Hymavathi, M. [1 ]
Senan, Sibel [2 ]
Shekher, Vineet [3 ]
Arik, Sabri [2 ]
机构：
[1] Thiruvalluvar Univ, Dept Math, Vellore 632115, Tamil Nadu, India
[2] Istanbul Univ Cerrahpasa, Fac Engn, Dept Comp Engn, TR-34320 Istanbul, Turkey
[3] NIET Great Noida, Dept Elect & Elect Engn, Greater Noida, Uttar Pradesh, India
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2019年 / 78卷
关键词：
Global asymptotic synchronization; Time varying delay; Fractional order; Complex valued neural networks; Riemann-Liouville derivative; Memristor; PERIODIC DISTURBANCE REJECTION; STABILITY ANALYSIS; EXPONENTIAL STABILITY; PROJECTIVE SYNCHRONIZATION; REALIZATIONS; DESIGN;
D O I：
10.1016/j.cnsns.2019.104869
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper investigates the global synchronization of impulsive fractional-order complex-valued memristor-based neural networks with time varying delays. Based on the Riemann-Liouville (R-L) derivative, by applying Lyapunov functional approach and using the comparison theorem, we derive some global synchronization criteria for the fractional order linear systems. Global asymptotic synchronization criteria are achieved through the employment of a pinning control and comparison theorem of fractional order systems. Finally, the effectiveness of the proposed method is validated through a constructive numerical example. (C) 2019 Elsevier B.V. All rights reserved.
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页数：21
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