Predefined-Time Stability/Synchronization of Coupled Memristive Neural Networks With Multi-Links and Application in Secure Communication
Open Access
- 24 December 2021
- journal article
- research article
- Published by Frontiers Media SA in Frontiers in Neurorobotics
- Vol. 15, 783809
- https://doi.org/10.3389/fnbot.2021.783809
Abstract
The paper explores the realization of 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 the 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 perform security of communication in the aspect of encrypt 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 secure communication scheme.Funding Information
- National Natural Science Foundation of China (61671242, 61701192, 61702307, 61872419, 61873324, 61901191, 62103165)
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