Positive Stability Analysis and Bio-Circuit Design for Nonlinear Biochemical Networks
Joint Authors
Wei, Zhinong
Sun, Yonghui
Sun, Guoqiang
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-20
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
This paper is concerned with positive stability analysis and bio-circuits design for nonlinear biochemical networks.
A fuzzy interpolation approach is employed to approximate nonlinear biochemical networks.
Based on the Lyapunov stability theory, sufficient conditions are developed to guarantee the equilibrium points of nonlinear biochemical networks to be positive and asymptotically stable.
In addition, a constrained bio-circuits design with positive control input is also considered.
It is shown that the conditions can be formulated as a solution to a convex optimization problem, which can be easily facilitated by using the Matlab LMI control toolbox.
Finally, a real biochemical network model is provided to illustrate the effectiveness and validity of the obtained results.
American Psychological Association (APA)
Sun, Yonghui& Wei, Zhinong& Sun, Guoqiang. 2013. Positive Stability Analysis and Bio-Circuit Design for Nonlinear Biochemical Networks. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-492989
Modern Language Association (MLA)
Sun, Yonghui…[et al.]. Positive Stability Analysis and Bio-Circuit Design for Nonlinear Biochemical Networks. Abstract and Applied Analysis No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-492989
American Medical Association (AMA)
Sun, Yonghui& Wei, Zhinong& Sun, Guoqiang. Positive Stability Analysis and Bio-Circuit Design for Nonlinear Biochemical Networks. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-492989
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-492989