Positive Stability Analysis and Bio-Circuit Design for Nonlinear Biochemical Networks | Zendy

Yonghui Sun | Zendy; Zhig Wei | Zendy; Guoqiang Sun | Zendy

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Positive Stability Analysis and Bio-Circuit Design for Nonlinear Biochemical Networks

Author(s) -

Yonghui Sun,

Zhig Wei,

Guoqiang Sun

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/717489

Subject(s) - mathematics , nonlinear system , stability (learning theory) , control theory (sociology) , matlab , circle criterion , stability theory , toolbox , lyapunov stability , interpolation (computer graphics) , regular polygon , lyapunov function , mathematical optimization , convex optimization , fuzzy logic , exponential stability , control (management) , computer science , animation , physics , computer graphics (images) , geometry , quantum mechanics , machine learning , artificial intelligence , programming language , operating system

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 aconvex 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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