Delay-dependent stability for neural networks with time-varying delays via a novel partitioning method
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CitationYang, B., Wang, R., Dimirovski, G. M. (2016). Delay-dependent stability for neural networks with time-varying delays via a novel partitioning method. Neurocomputing, 173(3), 1017-1027. https://doi.org/10.1016/j.neucom.2015.08.058
In this brief, a novel partitioning method for the conditions on bounding the activation function in the stability analysis of neural networks systems with time-varying delays is presented. Certain further improved delay-dependent stability conditions, which are expressed in terms of linear matrix inequalities (LMIs), are derived by employing a suitable Lyapunov-Krasovskii functional (LKF) and utilizing the Wirtinger integral inequality. Two well-known examples are investigated in a comparison mode with results to show the effectiveness and improvements achieved by the new results proposed.