Sliding mode control for finite-time and fixed-time synchronization of delayed complex-valued recurrent neural networks with discontinuous activation functions and nonidentical parameters

Abstract This paper considers the finite-time and fixed-time synchronization of delayed complex-valued recurrent neural networks (CVRNNs) with discontinuous activation functions and nonidentical parameters via sliding mode control. Firstly, we design a sliding surface involving integral structure and a discontinuous control. Secondly, by constructing Lyapunov functional and using the differential inequality technique, some sufficient conditions are derived to guarantee the finite-time and fixed-time synchronization of delayed complex-valued recurrent neural networks with discontinuous activation functions and nonidentical parameters. Finally, two simulation examples are shown to illustrate the proposed methods.

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