Fixed-time synchronization of inertial memristor-based neural networks with discrete delay

Chuan Chen; Lixiang Li; Haipeng Peng; Yixian Yang

doi:10.1016/j.neunet.2018.10.011

Fixed-time synchronization of inertial memristor-based neural networks with discrete delay

Neural Netw. 2019 Jan:109:81-89. doi: 10.1016/j.neunet.2018.10.011. Epub 2018 Oct 25.

Authors

Chuan Chen¹, Lixiang Li², Haipeng Peng³, Yixian Yang⁴

Affiliations

¹ Information Security Center, State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China. Electronic address: chenchuan@bupt.edu.cn.
² Information Security Center, State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China. Electronic address: lixiang@bupt.edu.cn.
³ Information Security Center, State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China. Electronic address: penghaipeng@bupt.edu.cn.
⁴ Information Security Center, State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China; State Key Laboratory of Public Big Data, Guizhou 550025, China. Electronic address: yxyang@bupt.edu.cn.

PMID: 30408696
DOI: 10.1016/j.neunet.2018.10.011

Abstract

This paper is concerned with the fixed-time synchronization control of inertial memristor-based neural networks with discrete delay. We design four different kinds of feedback controllers, under which the considered inertial memristor-based neural networks can realize fixed-time synchronization perfectly. Moreover, the obtained fixed-time synchronization criteria can be verified by algebraic operations. For any initial synchronization error, the settling time of fixed-time synchronization is bounded by a fixed constant, which can be calculated beforehand based on system parameters and controller parameters. Numerical simulations are given to illustrate the effectiveness of our theoretical results.

Keywords: Feedback controllers; Fixed-time synchronization; Inertial; Memristor; Neural networks.

MeSH terms

Algorithms
Feedback*
Neural Networks, Computer*
Time Factors