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Neural Processing Letters
Erschienen in: Neural Processing Letters 3/2015

01.12.2015

Passivity Analysis of Memristor-Based Complex-Valued Neural Networks with Time-Varying Delays

verfasst von: G. Velmurugan, R. Rakkiyappan, S. Lakshmanan

Erschienen in: Neural Processing Letters | Ausgabe 3/2015

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Abstract

In this paper, the model of memristor-based complex-valued neural networks (MCVNNs) with time-varying delays is established and the problem of passivity analysis for MCVNNs is considered and extensively investigated. The analysis in this paper employs results from the theory of differential equations with discontinuous right-hand side as introduced by Filippov. By employing the appropriate Lyapunov–Krasovskii functional, differential inclusion theory and linear matrix inequality (LMI) approach, some new sufficient conditions for the passivity of the given MCVNNs are obtained in terms of both complex-valued and real-value LMIs, which can be easily solved by using standard numerical algorithms. Numerical examples are provided to illustrate the effectiveness of our theoretical results.
Nächster Artikel Bifurcation Behavior for an Electronic Neural Network Model with Two Different Delays

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Metadaten
Titel
Passivity Analysis of Memristor-Based Complex-Valued Neural Networks with Time-Varying Delays
verfasst von
G. Velmurugan
R. Rakkiyappan
S. Lakshmanan
Publikationsdatum
01.12.2015
Verlag
Springer US
Erschienen in
Neural Processing Letters / Ausgabe 3/2015
Print ISSN: 1370-4621
Elektronische ISSN: 1573-773X
DOI
https://doi.org/10.1007/s11063-014-9371-8

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