  We study exponential stability for a kind of neural networks having
time-varying delay. By extending the auxiliary function-based integral
inequality, a novel integral inequality is derived by using weighted orthogonal
functions of which one is discontinuous. Then, the new inequality is applied to
investigate the exponential stability of time-delay neural networks via
Lyapunov-Krasovskii functional (LKF) method. Numerical examples are given to
verify the advantages of the proposed criterion.
