Fixed-Time Synchronization of Delayed Memristive Neural Networks with Discontinuous Activations

• Main Authors: Hao Pu, Fengjun Li
• Format: Article
• Language: English
• Published: Hindawi Limited 2021-01-01
• Series: Journal of Mathematics
• Online Access: http://dx.doi.org/10.1155/2021/3350534

In this paper, the fixed-time synchronization problem for a class of memristive neural networks with discontinuous neuron activation functions and mixed time-varying delays is investigated. With the help of the fixed-time stability theory, under the framework of Filippov solution and differential inclusion theory, several new and useful sufficient criteria for fixed-time synchronization are obtained by designing two types of energy-saving and simple controllers for the considered systems. Compared with the traditional fixed-time synchronization controller, the controllers used in this paper only have one power exponent term, which is a function of the system state error rather than a constant. Moreover, some previous relevant works are especially improved. Finally, two numerical examples are given to show the correctness and the effectiveness of the obtained theoretical results.