A new method for evaluating generalized derivatives in nonsmooth problems is reviewed.
Lexicographic directional (LD-) derivatives are a recently developed tool in nonsmooth …

Dynamic modeling of processes involving phase changes can be challenging due to
changes in the model equations caused by appearance and disappearance of equilibrium …

Novel convex and concave relaxations are proposed for the solutions of parametric ordinary
differential equations (ODEs), to aid in furnishing bounding information for deterministic …

Tank changeover is a routine process in industry for placing fuel tanks into or out of service.
The operation must use inert gas to avoid the flammability zone. However, inert gas …

In many applications of interacting systems, we are only interested in the dynamic behavior
of a subset of all possible active species. For example, this is true in combustion models …

When dealing with nonlinear systems, regular notions of stability are not enough to ensure
an appropriate behavior when dealing with problems such as tracking, synchronization and …

Generalized differentiation index-one nonlinear complementarity systems (NCSs) are
mathematically regularized in this article. Strong regularity of solutions is shown to imply …

This paper is concerned with incremental stability properties of nonlinear systems. We
propose conditions to compute an upper bound on the incremental L2-gain and to assess …

Developing proper and consistent dynamic models of processes with phase changes can be
challenging. Appearance and disappearance of phases result in changes in the system …