A Less Conservative Stability Criterion for Delayed Stochastic Genetic Regulatory Networks
Joint Authors
Wang, Jing
Yu, Tingting
Zhang, Xian
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-08
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
This paper concerns the problem of stability analysis for delayed stochastic genetic regulatory networks.
By introducing an appropriate Lyapunov-Krasovskii functional and employing delay-range partition approach, a new stability criterion is given to ensure the mean square stability of genetic regulatory networks with time-varying delays and stochastic disturbances.
The stability criterion is given in the form of linear matrix inequalities, which can be easily tested by the LMI Toolbox of MATLAB.
Moreover, it is theoretically shown that the obtained stability criterion is less conservative than the one in W.
Zhang et al., 2012.
Finally, a numerical example is presented to illustrate our theory.
American Psychological Association (APA)
Yu, Tingting& Wang, Jing& Zhang, Xian. 2014. A Less Conservative Stability Criterion for Delayed Stochastic Genetic Regulatory Networks. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-497248
Modern Language Association (MLA)
Yu, Tingting…[et al.]. A Less Conservative Stability Criterion for Delayed Stochastic Genetic Regulatory Networks. Mathematical Problems in Engineering No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-497248
American Medical Association (AMA)
Yu, Tingting& Wang, Jing& Zhang, Xian. A Less Conservative Stability Criterion for Delayed Stochastic Genetic Regulatory Networks. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-497248
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-497248