Global μ-Stability of Impulsive Complex-Valued Neural Networks with Leakage Delay and Mixed Delays
Joint Authors
Zhao, Zhenjiang
Song, Qiankun
Liu, Yurong
Chen, Xiaofeng
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-27
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Chen, Xiaofeng& Song, Qiankun& Liu, Yurong& Zhao, Zhenjiang. 2014. Global μ-Stability of Impulsive Complex-Valued Neural Networks with Leakage Delay and Mixed Delays. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1013858
Modern Language Association (MLA)
Chen, Xiaofeng…[et al.]. Global μ-Stability of Impulsive Complex-Valued Neural Networks with Leakage Delay and Mixed Delays. Abstract and Applied Analysis No. 2014 (2014), pp.1-14.
https://search.emarefa.net/detail/BIM-1013858
American Medical Association (AMA)
Chen, Xiaofeng& Song, Qiankun& Liu, Yurong& Zhao, Zhenjiang. Global μ-Stability of Impulsive Complex-Valued Neural Networks with Leakage Delay and Mixed Delays. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1013858
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013858