Delayed Reaction-Diffusion Cellular Neural Networks of Fractional Order: Mittag-Leffler Stability and Synchronization

被引：33
|
作者：
Stamov, Ivanka M. [1 ]
Simeonov, Stanislav [2 ]
机构：
[1] Univ Texas San Antonio, Dept Math, San Antonio, TX 78249 USA
[2] Prof Dr Assen Zlatarov Univ, Dept Comp Syst & Technol, Burgas 8010, Bulgaria
来源：
JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS | 2018年 / 13卷 / 01期
关键词：
GLOBAL EXPONENTIAL STABILITY; TIME-VARYING DELAYS; PERIODICITY; EQUATIONS; DYNAMICS; CHAOS;
D O I：
10.1115/1.4038290
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
This research introduces a model of a delayed reaction-diffusion fractional neural network with time-varying delays. The Mittag-Leffler-type stability of the solutions is investigated, and new sufficient conditions are established by the use of the fractional Lyapunov method. Mittag-Leffler-type synchronization criteria are also derived. Three illustrative examples are established to exhibit the proposed sufficient conditions.
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页数：7
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