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Author Blanchini, Franco ♦ Giordano, Giulia
Source IEEE Xplore Digital Library
Content type Text
Publisher Institute of Electrical and Electronics Engineers, Inc. (IEEE)
File Format PDF
Copyright Year ©2015
Language English
Subject Domain (in DDC) Technology ♦ Engineering & allied operations ♦ Other branches of engineering
Subject Keyword Lyapunov methods ♦ Asymptotic stability ♦ Numerical stability ♦ Structural engineering ♦ Stability criteria ♦ Chemicals
Abstract Structural properties, independent of specific parameter values, can explain the robustness of biochemical systems. In this paper we consider the framework previously proposed by the authors to assess structural stability of biochemical reaction networks with monotone reaction rates, which considers systems in concentration coordinates, and we show that the results can be applied to systems in reaction coordinates (whose stability was first investigated by Al-Radhawi and Angeli): the same numerical test can be employed to find a polyhedral Lyapunov function and thus certify stability. Under suitable assumptions on the rank of structural matrices, we prove the equivalence between the test performed for the system in concentration coordinates and in reaction coordinates. We finally illustrate the approach by examples.
Description Author affiliation: Dipartimento di Matematica e Informatica, Università degli Studi di Udine, 33100, Italy (Blanchini, Franco; Giordano, Giulia)
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research ♦ Reading
Education Level UG and PG
Learning Resource Type Article
Publisher Date 2015-12-15
Publisher Place Japan
Rights Holder Institute of Electrical and Electronics Engineers, Inc. (IEEE)
e-ISBN 9781479978861
Size (in Bytes) 653.94 kB
Page Count 6
Starting Page 3110
Ending Page 3115

Source: IEEE Xplore Digital Library