Finite-time synchronisation for Markovian master-slave neural networks with weighted try-once-discard protocol and static intermittent control

Abstract

This paper studies the finite-time synchronisation (FTS) issue for Markovian master-slave neural networks (NNs). A weighted try-once-discard (WTOD) protocol is introduced to overcome communication constraints, and an intermittent control strategy is employed to surmount energy constraints. A WTOD and parameter dependent static feedback controller is designed for the slave neural networks. Then, sufficient conditions are developed to achieve FTS for the considered master-slave NNs, and the controller design method is obtained. Finally, a numerical example is provided to demonstrate and verify the derived results.

Keywords:

• Markovian master-slave neural networks
• intermittent control
• static feedback controller
• finite-time synchronisation
• weighted try-once-discard protocol

Disclosure statement

The present study was conducted with full adherence to ethical principles, and the authors report no conflicts of interest.

Datasets availability statement

No exogenous datasets were utilised in this study.

Additional information

Funding

This work was supported in part by Key Area Research and Development Program of Guangdong Province [grant number 2021B0101410005], the Natural Science Foundation of Guangdong Province, China [grant numbers 2021B1515420008 and 2021A1515011634], the National Natural Science Foundation of China [grant numbers (62121004, 62006043 and 62027817], and the Science and Technology Program of Guangzhou, China [grant number 202102020639].