Abstract

This paper deals with the stability analysis problem for generalized neural network with time-varying delay. A proper Lyapunov-Krasovskii functional (LKF) with novel delay-product-dependent term is constructed, which fully considers the features of the improved Jensen integral inequality. Based on the new proposed LKF and a more general integral inequality issued from the improved Jensen one, an enhanced delay-dependent stability criterion is developed in terms of linear matrix inequality (LMI). Furthermore, a more refined stability criterion is established by relaxing the positive definiteness of the LKF. The effectiveness of the theoretical results are demonstrated by four numerical examples.

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