Globally fixed-time synchronization of coupled neutral-type neural network with mixed time-varying delays

Mingwen Zheng, Lixiang Li, Haipeng Peng, Jinghua Xiao, Yixian Yang, Yanping Zhang and Hui Zhao

PLOS ONE, 2018, vol. 13, issue 1, 1-22

Abstract: This paper mainly studies the globally fixed-time synchronization of a class of coupled neutral-type neural networks with mixed time-varying delays via discontinuous feedback controllers. Compared with the traditional neutral-type neural network model, the model in this paper is more general. A class of general discontinuous feedback controllers are designed. With the help of the definition of fixed-time synchronization, the upper right-hand derivative and a defined simple Lyapunov function, some easily verifiable and extensible synchronization criteria are derived to guarantee the fixed-time synchronization between the drive and response systems. Finally, two numerical simulations are given to verify the correctness of the results.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:plo:pone00:0191473

DOI: 10.1371/journal.pone.0191473

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