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

2020/05/13 by Vong, Seakweng, Hoi, Kachon, Shi, Chenyang
#13P25 #FOS: Mathematics #G.1.0 #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.2005.06134

Abstract

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.

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