Stability criterion of complex-valued neural networks with both leakage delay and time-varying delays on time scales

Abstract

In this paper, the problem on the global exponential stability of complex-valued neural networks with both leakage delay and time-varying delays on time scales is discussed. By constructing appropriate Lyapunov–Krasovskii functionals and using matrix inequality technique, a delay-dependent condition to assure the global exponential stability for the considered neural networks is established. The condition is expressed in complex-valued linear matrix inequality, which can be checked numerically using the effective YALMIP toolbox in MATLAB. An example with simulations is given to show the effectiveness of the obtained result.