FIXED/PREASSIGNED-TIME SYNCHRONIZATION OF QUATERNION-VALUED NEURAL NETWORKS INVOLVING DELAYS AND DISCONTINUOUS ACTIVATIONS: A DIRECT APPROACH  

作　　者：魏琬璐 胡成 于娟 蒋海军 Wanlu WEI;Cheng HU;Juan YU;Haijun JIANG(College of Mathematics and System Science,Xinjiang University,Urumqi,830017,China)

机构地区：[1]College of Mathematics and System Science,Xinjiang University,Urumqi,830017,China

出　　处：《Acta Mathematica Scientia》2023年第3期1439-1461,共23页数学物理学报（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China (61963033, 61866036, 62163035);the Key Project of Natural Science Foundation of Xinjiang (2021D01D10);the Xinjiang Key Laboratory of Applied Mathematics (XJDX1401);the Special Project for Local Science and Technology Development Guided by the Central Government (ZYYD2022A05)。

摘　　要：The fixed-time synchronization and preassigned-time synchronization are investigated for a class of quaternion-valued neural networks with time-varying delays and discontinuous activation functions. Unlike previous efforts that employed separation analysis and the real-valued control design, based on the quaternion-valued signum function and several related properties, a direct analytical method is proposed here and the quaternion-valued controllers are designed in order to discuss the fixed-time synchronization for the relevant quaternion-valued neural networks. In addition, the preassigned-time synchronization is investigated based on a quaternion-valued control design, where the synchronization time is preassigned and the control gains are finite. Compared with existing results, the direct method without separation developed in this article is beneficial in terms of simplifying theoretical analysis, and the proposed quaternion-valued control schemes are simpler and more effective than the traditional design, which adds four real-valued controllers. Finally, two numerical examples are given in order to support the theoretical results.

关 键 词：fixed-time synchronization preassigned-time synchronization quaternion-valued neural networks discontinuous activation direct analysis method 

分 类 号：TP183[自动化与计算机技术—控制理论与控制工程] O175[自动化与计算机技术—控制科学与工程]