# Robust Lyapunov Functions for Reaction Networks: An Uncertain System Framework

Source: [Robust Lyapunov Functions for Reaction Networks: An Uncertain System Framework](<https://www.sota2.com/research/paper/68fa544b1e209131ce98aa58>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T12:56:32.194Z

Authors: M. Ali Al-Radhawi, David Angeli

Published: 2015-09-07T15:46:39.000Z

## Abstract

We present a framework to transform the problem of finding a Lyapunov function of a Chemical Reaction Network (CRN) in concentration coordinates with arbitrary monotone kinetics into finding a common Lyapunov function for a linear parameter varying system in reaction coordinates. Alternative formulations of the proposed Lyapunov function is presented also. This is applied to reinterpret previous results by the authors on Piecewise Linear in Rates Lyapunov functions, and to establish a link with contraction analysis. Persistence and uniqueness of equilibria are discussed also.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1509.02086>)

[PDF](<https://arxiv.org/pdf/1509.02086.pdf>)