New Stability Criterion for Discrete-Time Genetic Regulatory Networks with Time-Varying Delays and Stochastic Disturbances
Joint Authors
Zhao, Yanfeng
Chen, Dongyan
Shen, Ji-Hong
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-06-15
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We propose an improved stability condition for a class of discrete-time genetic regulatory networks (GRNs) with interval time-varying delays and stochastic disturbances.
By choosing an augmented novel Lyapunov-Krasovskii functional which contains some triple summation terms, a less conservative sufficient condition is obtained in terms of linear matrix inequalities (LMIs) by using the combination of the lower bound lemma, the discrete-time Jensen inequality, and the free-weighting matrix method.
It is shown that the proposed results can be readily solved by using the Matlab software.
Finally, two numerical examples are provided to illustrate the effectiveness and advantages of the theoretical results.
American Psychological Association (APA)
Zhao, Yanfeng& Shen, Ji-Hong& Chen, Dongyan. 2016. New Stability Criterion for Discrete-Time Genetic Regulatory Networks with Time-Varying Delays and Stochastic Disturbances. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-13.
https://search.emarefa.net/detail/BIM-1112596
Modern Language Association (MLA)
Zhao, Yanfeng…[et al.]. New Stability Criterion for Discrete-Time Genetic Regulatory Networks with Time-Varying Delays and Stochastic Disturbances. Mathematical Problems in Engineering No. 2016 (2016), pp.1-13.
https://search.emarefa.net/detail/BIM-1112596
American Medical Association (AMA)
Zhao, Yanfeng& Shen, Ji-Hong& Chen, Dongyan. New Stability Criterion for Discrete-Time Genetic Regulatory Networks with Time-Varying Delays and Stochastic Disturbances. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-13.
https://search.emarefa.net/detail/BIM-1112596
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1112596