Global stability of complex-valued neural networks with both leakage time delay and discrete time delay on time scales

Abstract

In this paper, the complex-valued neural networks with both leakage time delay and discrete time delay as well as two types of activation functions on time scales are considered. By using the fixed point theory, a criterion for checking the existence, uniqueness of the equilibrium point for the considered complex-valued neural networks is presented. By constructing appropriate Lyapunov–Krasovskii functionals, and employing the free weighting matrix method, several delay-dependent criteria for checking the global stability of the addressed complex-valued neural networks are established in linear matrix inequality (LMI), which can be checked numerically using the effective LMI toolbox in MATLAB. Three examples with simulations are given to show the effectiveness and less conservatism of the proposed criteria.