Fixed time synchronization of delayed quaternion-valued memristor-based neural networks

Dingyuan Chen,Chuangxia Huang,Jinde Cao,Weiwei Zhang

doi:10.1186/s13662-020-02560-w

Abstract

This paper investigates the fixed time synchronization issue for a class of quaternion-valued memristor-based neural networks (QVMNN) at the presence of time varying delays. Differential inclusion and fixed time stability theory are used, and new synchronization conditions are formulated to achieve the synchronization of delayed QVMNN within a fixed time based on a Lyapunov function and a suitable controller. The feasibility of the proposed method is shown through numerical simulations.

Highlights

1 Introduction Synchronization control is the hot topic of research into nonlinear systems, which is widely applied in various areas
Neural networks (NN) own numerous specialties, including powerful self-learning and tolerance ability, parallel computing, which have been applied in pattern recognition, signal processing, optimal, and so on
Motivated by the above discussions, this paper focuses on studying the fixed time synchronization (FTS) of quaternion-valued memristor-based neural networks (QVMNN) with time varying delays

Summary

Introduction

Synchronization control is the hot topic of research into nonlinear systems, which is widely applied in various areas. Motivated by the above discussions, this paper focuses on studying the FTS of QVMNN with time varying delays. Remark 2 The considered system (1) takes into account quaternion values, time-varying delays, and memristors.

Results

Conclusion