Open Access
2013 Positive Stability Analysis and Bio-Circuit Design for Nonlinear Biochemical Networks
Yonghui Sun, Zhinong Wei, Guoqiang Sun
Abstr. Appl. Anal. 2013(SI22): 1-8 (2013). DOI: 10.1155/2013/717489


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.


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Yonghui Sun. Zhinong Wei. Guoqiang Sun. "Positive Stability Analysis and Bio-Circuit Design for Nonlinear Biochemical Networks." Abstr. Appl. Anal. 2013 (SI22) 1 - 8, 2013.


Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 07095273
MathSciNet: MR3068872
Digital Object Identifier: 10.1155/2013/717489

Rights: Copyright © 2013 Hindawi

Vol.2013 • No. SI22 • 2013
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