Stability Analysis of Delayed Genetic Regulatory Networks via a Relaxed Double Integral Inequality
Joint Authors
Li, Fu-Dong
Zhu, Qi
Xu, Hao-Tian
Jiang, Lin
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-11-13
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
Time delay arising in a genetic regulatory network may cause the instability.
This paper is concerned with the stability analysis of genetic regulatory networks with interval time-varying delays.
Firstly, a relaxed double integral inequality, named as Wirtinger-type double integral inequality (WTDII), is established to estimate the double integral term appearing in the derivative of Lyapunov-Krasovskii functional with a triple integral term.
And it is proved theoretically that the proposed WTDII is tighter than the widely used Jensen-based double inequality and the recently developed Wiringter-based double inequality.
Then, by applying the WTDII to the stability analysis of a delayed genetic regulatory network, together with the usage of useful information of regulatory functions, several delay-range- and delay-rate-dependent (or delay-rate-independent) criteria are derived in terms of linear matrix inequalities.
Finally, an example is carried out to verify the effectiveness of the proposed method and also to show the advantages of the established stability criteria through the comparison with some literature.
American Psychological Association (APA)
Li, Fu-Dong& Zhu, Qi& Xu, Hao-Tian& Jiang, Lin. 2017. Stability Analysis of Delayed Genetic Regulatory Networks via a Relaxed Double Integral Inequality. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-16.
https://search.emarefa.net/detail/BIM-1190354
Modern Language Association (MLA)
Li, Fu-Dong…[et al.]. Stability Analysis of Delayed Genetic Regulatory Networks via a Relaxed Double Integral Inequality. Mathematical Problems in Engineering No. 2017 (2017), pp.1-16.
https://search.emarefa.net/detail/BIM-1190354
American Medical Association (AMA)
Li, Fu-Dong& Zhu, Qi& Xu, Hao-Tian& Jiang, Lin. Stability Analysis of Delayed Genetic Regulatory Networks via a Relaxed Double Integral Inequality. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-16.
https://search.emarefa.net/detail/BIM-1190354
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1190354