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

Hao Pu, Fengjun Li and Niansheng Tang

Journal of Mathematics, 2021, vol. 2021, 1-25

Abstract: 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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:3350534

DOI: 10.1155/2021/3350534

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