Improved stability criteria of static recurrent neural networks with a time-varying delay.

ScientificWorldJournal

Jiangsu Provincial Key Laboratory for Computer Information Processing Technology, Soochow University, Soochow 215006, China.

Published: April 2015

This paper investigates the stability of static recurrent neural networks (SRNNs) with a time-varying delay. Based on the complete delay-decomposing approach and quadratic separation framework, a novel Lyapunov-Krasovskii functional is constructed. By employing a reciprocally convex technique to consider the relationship between the time-varying delay and its varying interval, some improved delay-dependent stability conditions are presented in terms of linear matrix inequalities (LMIs). Finally, a numerical example is provided to show the merits and the effectiveness of the proposed methods.

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http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3988971PMC
http://dx.doi.org/10.1155/2014/391282DOI Listing

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