Dissipativity and synchronization control of quaternion-valued fuzzy memristive neural networks: Lexicographical order method

This article focuses on a dissipativity and synchronization control method for a class of delayed quaternion-valued memristor-based recurrent neural networks. On the basis of Lyapunov functionals, analytical techniques, and novel control algorithms, sufficient conditions are established to achieve dissipativity and synchronization of fuzzy quaternion-valued memristive systems. Moreover, the lexicographical order method is introduced, and can be used to determine the magnitude of two different vectors. Finally, corresponding simulation results are provided to show the effectiveness of the proposed method. (C) 2021 Elsevier B.V. All rights reserved.

Automated summary

This article presents a dissipativity and synchronization control method for a class of delayed quaternion-valued memristor-based recurrent neural networks. By utilizing Lyapunov functionals, analytical techniques, and novel control algorithms, sufficient conditions are established to achieve dissipativity and synchronization of fuzzy quaternion-valued memristive systems. Additionally, the lexicographical order method is introduced to determine the magnitude of different vectors, and simulation results are provided to demonstrate the effectiveness of the proposed method.