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Robust Stability of Markovian Jumping Genetic Regulatory Networks with Mode-Dependent Delays
Joint Authors
He, Guang
Wu, Xiaotai
Fang, Jianan
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-05
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
The robust stability analysis problem is investigated for a class of Markovian jumping genetic regulatory networks with parameter uncertainties and mode-dependent delays, which varies randomly according to the Markov state and exists in both translation and feedback regulation processes.
The purpose of the addressed stability analysis problem is to establish some easily verifiable conditions under which the Markovian jumping genetic regulatory networks with parameter uncertainties and mode-dependent delays is asymptotically stable.
By utilizing a new Lyapunov functional and a lemma, we derive delay-dependent sufficient conditions ensuring the robust stability of the gene regulatory networks in the form of linear matrix inequalities.
Illustrative examples are exploited to show the effectiveness of the derived linear-matrix-inequalities- (LMIS-) based stability conditions.
American Psychological Association (APA)
He, Guang& Fang, Jianan& Wu, Xiaotai. 2012. Robust Stability of Markovian Jumping Genetic Regulatory Networks with Mode-Dependent Delays. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-1001652
Modern Language Association (MLA)
He, Guang…[et al.]. Robust Stability of Markovian Jumping Genetic Regulatory Networks with Mode-Dependent Delays. Mathematical Problems in Engineering No. 2012 (2012), pp.1-18.
https://search.emarefa.net/detail/BIM-1001652
American Medical Association (AMA)
He, Guang& Fang, Jianan& Wu, Xiaotai. Robust Stability of Markovian Jumping Genetic Regulatory Networks with Mode-Dependent Delays. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-1001652
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1001652