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.
Original language | English |
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Title of host publication | 54rd IEEE Conference on Decision and Control,CDC 2015 |
Publisher | IEEE |
Pages | 3110-3115 |
Number of pages | 6 |
ISBN (Electronic) | 9781479978861 |
DOIs | |
Publication status | Published - 8 Feb 2015 |
Externally published | Yes |
Event | 54th IEEE Conference on Decision and Control, CDC 2015 - Osaka, Japan Duration: 15 Dec 2015 → 18 Dec 2015 Conference number: 54 |
Conference
Conference | 54th IEEE Conference on Decision and Control, CDC 2015 |
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Abbreviated title | CDC 2015 |
Country/Territory | Japan |
City | Osaka |
Period | 15/12/15 → 18/12/15 |