Analysis on Global Asymptotical Stability of Genetic Regulatory Networks with Time-Varying Delays via Convex Combination Method
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-06-07
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
The global asymptotical stability analysis for genetic regulatory networks with time delays is concerned.
By using Lyapunov functional theorem, LMIs, and convex combination method, a new delay-dependent stability criterion has been presented in terms of LMIs to guarantee the delayed genetic regulatory networks to be asymptotically stable.
The restriction that the derivatives of the time-varying delays are less than one is removed.
Our result is applicable to both fast and slow time-varying delays.
The stability criterion has less conservative and wider application range.
Experimental result has been used to demonstrate the usefulness of the main results and less conservativeness of the proposed method.
American Psychological Association (APA)
Liu, Yang& Wu, Haixia. 2015. Analysis on Global Asymptotical Stability of Genetic Regulatory Networks with Time-Varying Delays via Convex Combination Method. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-5.
https://search.emarefa.net/detail/BIM-1073468
Modern Language Association (MLA)
Liu, Yang& Wu, Haixia. Analysis on Global Asymptotical Stability of Genetic Regulatory Networks with Time-Varying Delays via Convex Combination Method. Mathematical Problems in Engineering No. 2015 (2015), pp.1-5.
https://search.emarefa.net/detail/BIM-1073468
American Medical Association (AMA)
Liu, Yang& Wu, Haixia. Analysis on Global Asymptotical Stability of Genetic Regulatory Networks with Time-Varying Delays via Convex Combination Method. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-5.
https://search.emarefa.net/detail/BIM-1073468
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073468