A Remark on Multistability for Monotone Systems II

A recent paper by Angeli and Sontag presented a stability criterium for feedback loops involving single input, single output models which admit a well-defined I/O characteristic and satisfy a monotonicity condition. This paper generalizes the argument to arbitrary strongly monotone systems. The main idea is to study the asymptotic behavior of a strongly monotone system by relating it to a graph on the plane which contains information about the equilibria of the system and their stability properties.