Global Mittag-Leffler Synchronization for Impulsive Fractional-Order Neural Networks with Delays

被引：11
|
作者：
Rifhat, Ramziya [1 ,3 ]
Muhammadhaji, Ahmadjan [1 ,2 ]
Teng, Zhidong [1 ]
机构：
[1] Xinjiang Univ Urumqi, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
[2] Xinjiang Univ Urumqi, Inst Math Phys, Xinjiang Weiwuerzizhiqu 830046, Peoples R China
[3] Xinjiang Med Univ Urumqi, Coll Med Engn & Technol, Urumqi 830011, Peoples R China
来源：
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION | 2018年 / 19卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Global Mittag-Leffler synchronization; impulsive fractional functional differential equations; neural networks; time-varying delays; distributed delays; FINITE-TIME SYNCHRONIZATION; VARYING DELAYS; STABILITY ANALYSIS; SYSTEMS; CHAOS;
D O I：
10.1515/ijnsns-2017-0179
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, we investigate the synchronization problem of impulsive fractional-order neural networks with both time-varying and distributed delays. By using the fractional Lyapunov method and Mittag-Leffler function, some sufficient conditions are derived to realize the global Mittag-Leffler synchronization of impulsive fractional-order neural networks and one illustrative example is given to demonstrate the effectiveness of the obtained results.
引用
收藏
页码：205 / 213
页数：9
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