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CDC
2015
IEEE

Polyhedral Lyapunov functions for structural stability of biochemical systems in concentration and reaction coordinates

7 years 11 months ago
Polyhedral Lyapunov functions for structural stability of biochemical systems in concentration and reaction coordinates
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.
Franco Blanchini, Giulia Giordano
Added 18 Apr 2016
Updated 18 Apr 2016
Type Journal
Year 2015
Where CDC
Authors Franco Blanchini, Giulia Giordano
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