Global Mittag-Leffler stabilization of fractional-order complex-valued memristive neural networks

被引：41

作者：

Chang, Wenting ^{[1
]}

Zhu, Song ^{[1
]}

Li, Jinyu ^{[1
]}

Sun, Kaili ^{[1
]}

机构：

[1] China Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2018年 / 338卷

关键词：

Fractional-order; Complex-valued; Memristive neural networks; Global Mittag-Leffler stability; EXPONENTIAL STABILITY; SYNCHRONIZATION; EXISTENCE; DYNAMICS;

D O I：

10.1016/j.amc.2018.06.041

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents the theoretical results about global Mittag-Leffler stabilization for a class of fractional-order complex-valued memristive neural networks with the designed two types of control rules. As the extension of fractional-order real-valued memristive neural networks, fractional-order complex-valued memristive neural networks have complex-valued states, synaptic weights, and the activation functions. By utilizing the set-valued maps, a generalized fractional derivative inequality as well as fractional-order differential inclusions, several stabilization criteria for global Mittag-Leffler stabilization of fractional-order complex-valued memristive neural networks are established. A numerical example is provided here to illustrate our theoretical results. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：346 / 362

页数：17

共 50 条

[31] Projective synchronization of fractional-order quaternion-valued neural networks with Mittag-Leffler kernel
Ansari, Md Samshad Hussain
Malik, Muslim
Nieto, Juan J.
INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 2025,
[32] LMI conditions to global Mittag-Leffler stability of fractional-order neural networks with impulses
Wu, Huaiqin
Zhang, Xinxin
Xue, Shunhui
Wang, Lifei
Wang, Yu
NEUROCOMPUTING, 2016, 193 : 148 - 154
[33] Global Mittag-Leffler Synchronization of Fractional-Order Neural Networks Via Impulsive Control
Xujun Yang
Chuandong Li
Tingwen Huang
Qiankun Song
Junjian Huang
Neural Processing Letters, 2018, 48 : 459 - 479
[34] Global Mittag-Leffler Synchronization of Fractional-Order Neural Networks Via Impulsive Control
Yang, Xujun
Li, Chuandong
Huang, Tingwen
Song, Qiankun
Huang, Junjian
NEURAL PROCESSING LETTERS, 2018, 48 (01) : 459 - 479
[35] Multiple Mittag-Leffler Stability of Fractional-Order Recurrent Neural Networks
Liu, Peng
Zeng, Zhigang
Wang, Jun
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2017, 47 (08): : 2279 - 2288
[36] Mittag-Leffler stability and stabilization of delayed fractional-order memristive neural networks based on a new Razumikhin-type theorem
Zhang, Shuailei
Tang, Meilan
Liu, Xinge
Zhang, Xian-Ming
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2024, 361 (03): : 1211 - 1226
[37] Adaptive control of Mittag-Leffler stabilization and synchronization for delayed fractional-order BAM neural networks
Cheng, Weike
Wu, Ailong
Zhang, Jin-E
Li, Biwen
ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (01):
[38] Adaptive control of Mittag-Leffler stabilization and synchronization for delayed fractional-order BAM neural networks
Weike Cheng
Ailong Wu
Jin-E Zhang
Biwen Li
Advances in Difference Equations, 2019
[39] Novel Inequalities to Global Mittag-Leffler Synchronization and Stability Analysis of Fractional-Order Quaternion-Valued Neural Networks
Xiao, Jianying
Cao, Jinde
Cheng, Jun
Wen, Shiping
Zhang, Ruimei
Zhong, Shouming
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2021, 32 (08) : 3700 - 3709
[40] Global Mittag-Leffler stability for fractional-order quaternion-valued neural networks with piecewise constant arguments and impulses
Chen, Yanxi
Song, Qiankun
Zhao, Zhenjiang
Liu, Yurong
Alsaadi, Fuad E.
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2022, 53 (08) : 1756 - 1768

← 1 2 3 4 5 →