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Neural Processing Letters
Erschienen in: Neural Processing Letters 3/2020

11.01.2020

State Estimation of Quaternion-Valued Neural Networks with Leakage Time Delay and Mixed Two Additive Time-Varying Delays

verfasst von: Libin Liu, Xiaofeng Chen

Erschienen in: Neural Processing Letters | Ausgabe 3/2020

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Abstract

In this paper, the state estimation of quaternion-valued neural networks (QVNNs) with leakage time delay, both discrete and distributed two additive time-varying delays is studied. By considering the QVNNs as a whole, instead of decomposing it into two complex-valued neural networks or four real-valued neural networks. Via constructing suitable Lyapunov–Krasovskii functionals, combining free weight matrix, reciprocally convex approach, and matrix inequalities, the sufficient criteria for time delays are given in the form of quaternion-valued linear matrix inequalities and complex-valued linear matrix inequalities. Some observable output measurements are used to estimate the state of neurons, which ensures the global asymptotic stability of the error-state system. Finally, the effectiveness of theoretical analysis is illustrated by a numerical simulation.
Vorheriger Artikel Blind Image Deconvolution via Enhancing Significant Segments
Nächster Artikel A Neural Network Study of Blasius Equation

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Metadaten
Titel
State Estimation of Quaternion-Valued Neural Networks with Leakage Time Delay and Mixed Two Additive Time-Varying Delays
verfasst von
Libin Liu
Xiaofeng Chen
Publikationsdatum
11.01.2020
Verlag
Springer US
Erschienen in
Neural Processing Letters / Ausgabe 3/2020
Print ISSN: 1370-4621
Elektronische ISSN: 1573-773X
DOI
https://doi.org/10.1007/s11063-019-10178-7

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