Finite-time synchronisation and passivity of coupled memristive neural networks

Abstract

In this paper, we firstly investigate synchronisation and passivity in finite time of coupled memristive neural networks (CMNNs) with and without coupling delays. The key contributions of our work lie on two aspects. On the one hand, by designing suitable controllers, several finite-time synchronisation criteria for the CMNNs with and without coupling delays are established. On the other hand, some sufficient conditions for ensuring finite-time passivity of these considered networks are presented. In addition, two numerical examples are provided to guarantee the availability for the acquired results.

Keywords:

• Coupled memristive neural networks
• coupling delays
• finite-time passivity
• finite-time synchronisation

Acknowledgments

The authors would like to thank the Associate Editor and anonymous reviewers for their valuable comments and suggestions. They also wish to express their sincere appreciation to Prof. Jinliang Wang for the fruitful discussions with him and good suggestions which helped to improve this paper.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported in part by the National Natural Science Foundation of China [grant number 61773285], in part by the Aeronautical Science Foundation of China [grant number 2016ZA51001], and in part by the Natural Science Foundation of Tianjin [grant number 18JCQNJC74300].