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Cognitive Neurodynamics

Erschienen in:

01.03.2010 | Research Article

Global robust power-rate stability of delayed genetic regulatory networks with noise perturbations

verfasst von: Yanyan Wang, Jinde Cao, Lulu Li

Erschienen in: Cognitive Neurodynamics | Ausgabe 1/2010

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Abstract

In this paper, by using the Lyapunov method, Itô’s differential formula and linear matrix inequality (LMI) approach, the global robust power-rate stability in mean square is discussed for genetic regulatory networks with unbounded time-varying delay, noise perturbations and parameter uncertainties. Sufficient conditions are given to ensure the robust power-rate stability (in mean square) of the genetic regulatory networks. Meanwhile, the criteria ensuring global power-rate stability in mean square are a byproduct of the criteria guaranteeing global robust power-rate stability in mean square. The obtained conditions are derived in terms of linear matrix inequalities (LMIs) which are easy to be verified via the LMI toolbox. An illustrative example is given to show the effectiveness of the obtained result.

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Titel: Global robust power-rate stability of delayed genetic regulatory networks with noise perturbations
verfasst von: Yanyan Wang
Jinde Cao
Lulu Li
Publikationsdatum: 01.03.2010
Verlag: Springer Netherlands
Erschienen in: Cognitive Neurodynamics / Ausgabe 1/2010
Print ISSN: 1871-4080
Elektronische ISSN: 1871-4099
DOI: https://doi.org/10.1007/s11571-009-9102-4

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