Global μ‐Stability of Impulsive Complex‐Valued Neural Networks with Leakage Delay and Mixed Delays

Xiaofeng Chen, Qiankun Song, Yurong Liu and Zhenjiang Zhao

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: The impulsive complex‐valued neural networks with three kinds of time delays including leakage delay, discrete delay, and distributed delay are considered. Based on the homeomorphism mapping principle of complex domain, a sufficient condition for the existence and uniqueness of the equilibrium point of the addressed complex‐valued neural networks is proposed in terms of linear matrix inequality (LMI). By constructing appropriate Lyapunov‐Krasovskii functionals, and employing the free weighting matrix method, several delay‐dependent criteria for checking the global μ‐stability of the complex‐valued neural networks are established in LMIs. As direct applications of these results, several criteria on the exponential stability, power‐stability, and log‐stability are obtained. Two examples with simulations are provided to demonstrate the effectiveness of the proposed criteria.

Date: 2014
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https://doi.org/10.1155/2014/397532

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:397532

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