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Cognitive Neurodynamics
Erschienen in: Cognitive Neurodynamics 4/2008

01.12.2008 | Research article

Robust stability of genetic regulatory networks with distributed delay

verfasst von: Wangli He, Jinde Cao

Erschienen in: Cognitive Neurodynamics | Ausgabe 4/2008

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Abstract

This paper investigates robust stability of genetic regulatory networks with distributed delay. Different from other papers, distributed delay is induced. It says that the concentration of macromolecule depends on an integral of the regulatory function of over a specified range of previous time, which is more realistic. Based on Lyapunov stability theory and linear matrix inequality (LMI), sufficient conditions for genetic regulatory networks to be global asymptotic stability and robust stability are derived in terms of LMI. Two numerical examples are given to illustrate the effectiveness of our theoretical results.
Vorheriger Artikel Response probability and response time: a straight line, the Tagging/Retagging interpretation of short term memory, an operational definition of meaningfulness and short term memory time decay and search time
Nächster Artikel New stability criteria for uncertain neural networks with interval time-varying delays

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Metadaten
Titel
Robust stability of genetic regulatory networks with distributed delay
verfasst von
Wangli He
Jinde Cao
Publikationsdatum
01.12.2008
Verlag
Springer Netherlands
Erschienen in
Cognitive Neurodynamics / Ausgabe 4/2008
Print ISSN: 1871-4080
Elektronische ISSN: 1871-4099
DOI
https://doi.org/10.1007/s11571-008-9062-0

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