ArticleCognitive neurodynamics2010
Global robust power-rate stability of delayed genetic regulatory networks with noise perturbations.
Article in Cognitive neurodynamics, 2010. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.
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4 citing papers in PubMed.
- PCA based population generation for genetic network optimization.Cognitive neurodynamics · 2018Article
- Power-rate synchronization of coupled genetic oscillators with unbounded time-varying delay.Cognitive neurodynamics · 2015Article
- Sufficient and necessary conditions for Lyapunov stability of genetic networks with SUM regulatory logic.Cognitive neurodynamics · 2015Article
- Optimal Objective-Based Experimental Design for Uncertain Dynamical Gene Networks with Experimental Error.IEEE/ACM transactions on computational biology and bioinformaticsArticle
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3 authors.
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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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