Fixed time synchronization of octonion valued neural networks with time varying delays

被引：16
作者：
Chouhan, Shiv Shankar [1 ]
Kumar, Umesh [1 ]
Das, Subir [1 ]
Cao, Jinde [2 ,3 ]
机构：
[1] Banaras Hindu Univ, Dept Math Sci, Indian Inst Technol, Varanasi 221005, Uttar Pradesh, India
[2] Southeast Univ, Sch Math, Nanjing 210096, Peoples R China
[3] Yonsei Univ, Yonsei Frontier Lab, Seoul 03722, South Korea
来源：
ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE | 2023年 / 118卷
关键词：
OVNNs; Fixed time synchronization; Settling time; Lyapunov function; GLOBAL EXPONENTIAL STABILITY; DYNAMICAL NETWORKS; NONLINEAR-SYSTEMS; STABILIZATION; DESIGN;
D O I：
10.1016/j.engappai.2022.105684
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Octonion valued neural networks (OVNNs) does not fall into the category of Clifford valued neural networks be-cause of the non-associativity of OVNNs. The present article contains the study of fixed time synchronization of OVNNs with time varying delays. Fixed time synchronization is an extension of the finite time synchronization. In fixed time synchronization, the trajectories of the error system reaches the origin in finite time independent of the initial conditions. In this article, OVNNs are decomposed into eight real valued systems of equations. Using some lemmas and Lyapunov function, several sufficient criteria have been derived for the fixed time synchronization. Moreover, a suitable novel non-linear controller is created to keep the drive-response system in synchronization state. Finally, a numerical example is performed to demonstrate and validate the theoretical findings.
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页数：9
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