Multi-Stability in Monotone Input/Output Systems
Quantitative Methods
2007-05-23 v1 Molecular Networks
Abstract
This paper studies the emergence of multi-stability and hysteresis in those systems that arise, under positive feedback, starting from monotone systems with well-defined steady-state responses. Such feedback configurations appear routinely in several fields of application, and especially in biology. Characterizations of global stability behavior are stated in terms of easily checkable graphical conditions. An example of a signaling cascade under positive feedback is presented.
Cite
@article{arxiv.q-bio/0309002,
title = {Multi-Stability in Monotone Input/Output Systems},
author = {David Angeli and Eduardo D. Sontag},
journal= {arXiv preprint arXiv:q-bio/0309002},
year = {2007}
}
Comments
See http://www.math.rutgers.edu/~sontag for related work; to appear in Systems and Control Letters