Stability of Uncertain Impulsive Stochastic Genetic Regulatory Networks with Time-Varying Delay in the Leakage Term
Joint Authors
Hu, Manfeng
Cao, Jinde
Li, Jun
Jin, Yinghua
Yang, Yongqing
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-06
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
This paper is concerned with the stability problem for a class of uncertain impulsive stochastic genetic regulatory networks (UISGRNs) with time-varying delays both in the leakage term and in the regulator function.
By constructing a suitable Lyapunov-Krasovskii functional which uses the information on the lower bound of the delay sufficiently, a delay-dependent stability criterion is derived for the proposed UISGRNs model by using the free-weighting matrices method and convex combination technique.
The conditions obtained here are expressed in terms of LMIs whose feasibility can be checked easily by MATLAB LMI control toolbox.
In addition, three numerical examples are given to justify the obtained stability results.
American Psychological Association (APA)
Li, Jun& Hu, Manfeng& Cao, Jinde& Yang, Yongqing& Jin, Yinghua. 2014. Stability of Uncertain Impulsive Stochastic Genetic Regulatory Networks with Time-Varying Delay in the Leakage Term. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-1033951
Modern Language Association (MLA)
Li, Jun…[et al.]. Stability of Uncertain Impulsive Stochastic Genetic Regulatory Networks with Time-Varying Delay in the Leakage Term. Abstract and Applied Analysis No. 2014 (2014), pp.1-15.
https://search.emarefa.net/detail/BIM-1033951
American Medical Association (AMA)
Li, Jun& Hu, Manfeng& Cao, Jinde& Yang, Yongqing& Jin, Yinghua. Stability of Uncertain Impulsive Stochastic Genetic Regulatory Networks with Time-Varying Delay in the Leakage Term. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-1033951
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033951