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Neural Processing Letters
Erschienen in: Neural Processing Letters 3/2018

14.08.2017

Passivity of Reaction–Diffusion Genetic Regulatory Networks with Time-Varying Delays

verfasst von: Chengye Zou, Xiaopeng Wei, Qiang Zhang, Changjun Zhou

Erschienen in: Neural Processing Letters | Ausgabe 3/2018

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Abstract

This article investigates the passivity of reaction–diffusion genetic regulatory networks (GRNs) with time-varying delays and uncertainty terms under Dirichlet, Neumann, and Robin boundary conditions. We provide delay-dependent stability criteria by constructing appropriate Lyapunov–Krasovskii functions and linear matrix inequalities, and offer conditions sufficient to ensure the passivity of GRNs. We conducted a comparative analysis of GRNs under these three conditions. Numerical examples of the proposed approaches are provided to illustrate its effectiveness, and represent the three-dimensional figures of the trajectories of the concentrations of mRNA and the proteins of GRNs under Dirichlet boundary conditions.
Vorheriger Artikel Passivity Analysis of Stochastic Memristor-Based Complex-Valued Recurrent Neural Networks with Mixed Time-Varying Delays
Nächster Artikel Single Multiplicative Neuron Model Artificial Neural Network with Autoregressive Coefficient for Time Series Modelling

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Metadaten
Titel
Passivity of Reaction–Diffusion Genetic Regulatory Networks with Time-Varying Delays
verfasst von
Chengye Zou
Xiaopeng Wei
Qiang Zhang
Changjun Zhou
Publikationsdatum
14.08.2017
Verlag
Springer US
Erschienen in
Neural Processing Letters / Ausgabe 3/2018
Print ISSN: 1370-4621
Elektronische ISSN: 1573-773X
DOI
https://doi.org/10.1007/s11063-017-9682-7

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