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

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  • Hao Pu
  • Fengjun Li
  • Niansheng Tang

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.

Suggested Citation

  • Hao Pu & Fengjun Li & Niansheng Tang, 2021. "Fixed-Time Synchronization of Delayed Memristive Neural Networks with Discontinuous Activations," Journal of Mathematics, Hindawi, vol. 2021, pages 1-25, July.
    • Handle: RePEc:hin:jjmath:3350534
    DOI: 10.1155/2021/3350534
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