Robust Lyapunov Functions for Reaction Networks: An Uncertain System Framework
Optimization and Control
2017-10-31 v2 Dynamical Systems
Molecular Networks
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.
Keywords
Cite
@article{arxiv.1509.02086,
title = {Robust Lyapunov Functions for Reaction Networks: An Uncertain System Framework},
author = {M. Ali Al-Radhawi and David Angeli},
journal= {arXiv preprint arXiv:1509.02086},
year = {2017}
}
Comments
some results were published in the IEEE CDC conference, 2014. doi: 10.1109/CDC.2014.7039867