Finite-Time Synchronization of Coupled Memristive Neural Networks Subject to Stochastic Link Uncertainties and Attacks

Lu, Qingqing; Zhang, Xiaomei; Sheng, Suying

doi:10.23919/chicc.2019.8865451

Cited by 1 publication

(1 citation statement)

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“…Various results about exponential synchronization of CMNN (Wang and Shen, 2014;Bao et al, 2016;Feng et al, 2016;Guo et al, 2018;Chen et al, 2021) were given, and Guo et al (2018) also considered multiple coupled terms. Especially, with the requirement of the development of converge speed, these results about finite/fixed time synchronization of CMNN are discussed (Li et al, 2019;Lu et al, 2019;Yang et al, 2019;Huang et al, 2020;Gong et al, 2021). Since the concept of predefined-time stability was proposed in 2014 (Sanchez-Torres et al, 2014), predefinedtime stability in dynamical systems has been studied (Juan et al, 2018;), and some theorems of predefined-time stability have been obtained.…”

Section: Introductionmentioning

confidence: 99%

Predefined-Time Stability/Synchronization of Coupled Memristive Neural Networks With Multi-Links and Application in Secure Communication

et al. 2021

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This paper explores the realization of a predefined-time synchronization problem for coupled memristive neural networks with multi-links (MCMNN) via nonlinear control. Several effective conditions are obtained to achieve the predefined-time synchronization of MCMNN based on the controller and Lyapunov function. Moreover, the settling time can be tunable based on a parameter designed by the controller, which is more flexible than fixed-time synchronization. Then based on the predefined-time stability criterion and the tunable settling time, we propose a secure communication scheme. This scheme can determine security of communication in the aspect of encrypting the plaintext signal with the participation of multi-links topology and coupled form. Meanwhile, the plaintext signals can be recovered well according to the given new predefined-time stability theorem. Finally, numerical simulations are given to verify the effectiveness of the obtained theoretical results and the feasibility of the secure communication scheme.

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