Fixed-time synchronization of time-varying delayed stochastic neural network and its application to secure communication

Chengrong Xie, Yuning Wu, Shunqiang Yun, Guoqiao You, Yuhua Xu · 2019

This paper discusses synchronization of the delayed stochastic neural network by fixed-time control. Firstly, a new fixed-time stability theorem is proposed, and the estimate of the convergence time is also gained. Secondly, the application of fixed-time stability theorem in synchronization of neural networks is discussed, novel sufficient criterion is derived for fixed-time synchronization of neural networks. Compared with some existing results, the controller can be simpler. Furthermore, an application scheme for secure communication is presented in theory, and numerical simulation illustrates the effectiveness.

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