Fixed-time synchronization of quaternion-valued neural networks

被引：59
作者：
Deng, Hui [1 ]
Bao, Haibo [1 ]
机构：
[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2019年 / 527卷
基金：
中国国家自然科学基金;
关键词：
Quaternion-valued neural network; Fixed-time synchronization; Settling time function; Nonlinear controller; Lyapunov function; GLOBAL EXPONENTIAL STABILITY; FINITE-TIME; DYNAMICAL NETWORKS; STABILIZATION; SYSTEMS; CONVERGENCE; DELAYS;
D O I：
10.1016/j.physa.2019.121351
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, the fixed-time synchronization problem of quaternion-valued neural networks is investigated. Different from the finite-time synchronization related to the initial conditions, the settling time of fixed-time synchronization can be changed properly according to the actual needs. The fixed-time synchronization of quaternion-valued neural networks is firstly studied by adding the new nonlinear feedback controllers and employing the theorem of fixed-time stability. The quaternion-valued neural network is addressed by dividing the system under investigation into four real-valued parts. Then based on related theorem of fixed-time stability, and selecting the appropriate controllers and Lyapunov function, sufficient conditions of fixed-time synchronization for quaternion-valued neural networks are obtained. In the same way, the results of finite-time synchronization can also be got. Finally, one numerical example is provided to illustrate the effectiveness of the proposed results. (C) 2019 Elsevier B.V. All rights reserved.
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页数：16
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