Output synchronization analysis of coupled fractional-order neural networks with fixed and adaptive couplings

被引：7
|
作者：
Liu, Peng [1 ]
Li, Yunliu [1 ]
Sun, Junwei [1 ]
Wang, Yanfeng [1 ]
机构：
[1] Zhengzhou Univ Light Ind, Sch Elect & Informat Engn, Zhengzhou 450002, Peoples R China
来源：
NEURAL COMPUTING & APPLICATIONS | 2023年 / 35卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Output synchronization; Fractional order; Neural networks; Coupled; PROJECTIVE SYNCHRONIZATION; QUASI-SYNCHRONIZATION; PINNING CONTROL; STABILITY; SYSTEMS;
D O I：
10.1007/s00521-022-07752-x
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this work, the output synchronization of coupled fractional-order neural networks is investigated. Based on the Lyapunov stability theorem and the properties of fractional calculus, sufficient conditions for guaranteeing the output synchronization of coupled fractional-order neural networks with fixed coupling are derived. Moreover, the adaptive strategy with adjusting the coupling weights is introduced, and sufficient conditions are proposed for guaranteeing the output synchronization of fractional-order neural networks with adaptive couplings. In comparison with previous results, the results obtained in this paper are suitable for fractional-order systems, including the output synchronization of integer-order systems as a special case. Two numerical examples are given to verify the validity of the results.
引用
收藏
页码：517 / 528
页数：12
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