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Soft Computing

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01.10.2009 | Focus

Robust stability of stochastic genetic regulatory networks with discrete and distributed delays

verfasst von: Zhengxia Wang, Xiaofeng Liao, Jiali Mao, Guodong Liu

Erschienen in: Soft Computing | Ausgabe 12/2009

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Abstract

In this paper, the problem on asymptotical and robust stability of genetic regulatory networks with time-varying delays and stochastic disturbance is considered. The time-varying delays include not only discrete delays but also distributed delays. The parameter uncertainties are time-varying and norm-bounded. Based on the Lyapunov stability theory and Lur’s system approach, sufficient conditions are given to ensure the stability of genetic regulatory networks. All the stability conditions are given in terms of linear matrix inequalities, which are easy to be verified. Illustrative example is presented to show the effectiveness of the obtained results.

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Titel: Robust stability of stochastic genetic regulatory networks with discrete and distributed delays
verfasst von: Zhengxia Wang
Xiaofeng Liao
Jiali Mao
Guodong Liu
Publikationsdatum: 01.10.2009
Verlag: Springer-Verlag
Erschienen in: Soft Computing / Ausgabe 12/2009
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI: https://doi.org/10.1007/s00500-009-0417-1

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