This survey addresses stability analysis for stochastic hybrid systems (SHS), which are
dynamical systems that combine continuous change and instantaneous change and that …

Stochastic hybrid systems (SHS) have attracted a lot of research interests in recent years. In
this paper, we review some of the recent applications of SHS to biological systems modeling …

Because they incorporate both time-and event-driven dynamics, stochastic hybrid systems
(SHS) have become ubiquitous in a variety of fields, from mathematical finance to biological …

Background The ambition of most molecular biologists is the understanding of the intricate
network of molecular interactions that control biological systems. As scientists uncover the …

We demonstrate the evolution of simple embodied Genetic Regulatory Networks (GRNs) as
real-time control systems for robotic and software-based embodied Artificial Organisms, and …

René Thomas' discrete modelling of gene regulatory networks (GRN) is a well-known
approach to study the dynamics resulting from a set of interacting genes. It deals with some …

The purpose of this report is to investigate some dynamical properties common to several
biological systems. A model is chosen, which consists of a system of piecewise affine …

The switch-like character of the dynamics of genetic regulatory networks has attracted much
attention from mathematical biologists and researchers on hybrid systems alike. We extend …

This paper addresses the problem of positive consensus of directed multi-agent systems
with observer-type output-feedback protocols. More specifically, directed graph is used to …

We propose an abstraction method for medium-scale biomolecular networks, based on
hybrid dynamical systems with continuous multi-affine dynamics. This abstraction method …