Fixed-Time Synchronization of Delayed Memristive Neural Networks with Discontinuous Activations

Author:

Pu Hao12ORCID,Li Fengjun1ORCID

Affiliation:

1. School of Mathematics and Statistics, Ningxia University, Yinchuan 750021, Ningxia, China

2. School of Mathematics, Zunyi Normal College, Zunyi 563000, Guizhou, China

Abstract

In this paper, the fixed-time synchronization problem for a class of memristive neural networks with discontinuous neuron activation functions and mixed time-varying delays is investigated. With the help of the fixed-time stability theory, under the framework of Filippov solution and differential inclusion theory, several new and useful sufficient criteria for fixed-time synchronization are obtained by designing two types of energy-saving and simple controllers for the considered systems. Compared with the traditional fixed-time synchronization controller, the controllers used in this paper only have one power exponent term, which is a function of the system state error rather than a constant. Moreover, some previous relevant works are especially improved. Finally, two numerical examples are given to show the correctness and the effectiveness of the obtained theoretical results.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

General Mathematics

Reference55 articles.

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