Abstract and Applied Analysis

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

Xiaofeng Chen, Qiankun Song, Yurong Liu, and Zhenjiang Zhao

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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.

Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2014), Article ID 397532, 14 pages.

Dates
First available in Project Euclid: 27 February 2015

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1425048768

Digital Object Identifier
doi:10.1155/2014/397532

Mathematical Reviews number (MathSciNet)
MR3216046

Citation

Chen, Xiaofeng; Song, Qiankun; Liu, Yurong; Zhao, Zhenjiang. Global μ -Stability of Impulsive Complex-Valued Neural Networks with Leakage Delay and Mixed Delays. Abstr. Appl. Anal. 2014, Special Issue (2014), Article ID 397532, 14 pages. doi:10.1155/2014/397532. https://projecteuclid.org/euclid.aaa/1425048768


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