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We study exponential stability for a kind of neural networks havingtime-varying delay. By extending the auxiliary function-based integralinequality, a novel integral inequality is derived by using weighted orthogonalfunctions of which one is discontinuous. Then, the new inequality is applied toinvestigate the exponential stability of time-delay neural networks viaLyapunov-Krasovskii functional (LKF) method. Numerical examples are given toverify the advantages of the proposed criterion.

Exponential stability for time-delay neural networks via new weighted integral inequalities