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

Chenyang Shi, Kachon Hoi, Seakweng Vong · Numerical Algebra Control and Optimization · 2023

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. 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.

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