Fixed-time lag synchronization of second-order fuzzy complex-valued neural networks with discontinuous functions

This paper is dedicated to p-norm fixed-time lag synchronization(FXTLS) of second-order fuzzy complex-valued neural networks(FCVNNs). Differential inclusion theory is utilized to deal with discontinuous systems. The first-order real-valued differential equations are obtained from the second-order FCVNNs by reduced-order transformation and dividing the real and imaginary parts of the complex-valued parameters. Based on Lyapunov stability theory and some inequality tricks, two complex-valued control schemes are designed to guarantee FXTLS. Finally, numerical simulation is presented in order to show consistency with the theoretical outcomes obtained in this paper.