In this tutorial paper we first present some foundational results regarding the theory of
positive systems. In particular, we present fundamental results regarding stability, positive …

A state‐of‐the‐art review on various identification schemes proposed for the Hammerstein,
Wiener, and Volterra systems is presented with respect to the special problems arising in the …

In this monograph we consider the class of continuous-time positive switched systems. We
discuss several problems, including stability, performance analysis, stabilization via …

We introduce the notion of nonoscillation, propose a constructive method for its robust
verification, and study its application to biological interaction networks (also known as …

Complex molecular biological processes such as transcription and translation, signal
transduction, post-translational modification cascades, and metabolic pathways can be …

We consider the problem of identifying structural influences of external inputs on steady-
state outputs in a biological network model. We speak of a structural influence if, upon a …

Despite their complexity, biological systems are able to endure huge parameter fluctuations
and survive in the most diverse environmental conditions. Mathematical tools from graph …

This paper presents a linear-programming based algorithm to perform data-driven
stabilizing control of linear positive systems. A set of state-input-transition observations is …

In this article, we first present some foundational results about the stability and positive
stabilization of continuous-time positive systems. Necessary and sufficient conditions for …

For a vast class of dynamical networks, including chemical reaction networks (CRNs) with
monotonic reaction rates, the existence of a polyhedral Lyapunov function (PLF) implies …