This paper focuses on the challenges in observer design for nonlinear systems which are
non-monotonic. A class of nonlinear systems is considered in which the process dynamics …

We study optimization-based criteria for the stability of switching systems, known as path-
complete Lyapunov functions, and ask the question “can we decide algorithmically when a …

Starting from a finite family of continuously differentiable positive definite functions, we study
conditions under which a function obtained by max–min combinations is a Lyapunov …

This paper focuses on position estimation in smart actuators using non-contacting magnetic
sensors. Magnetic position estimation in long-stroke actuators involves nonlinear non …

As part of the development of Lyapunov techniques for cyber-physical systems, we study
and compare graph-based stability certificates with respect to their conservatism. Previous …

We use a class of locally Lipschitz continuous Lyapunov functions to establish stability for a
class of differential inclusions where the set-valued map on the right-hand-side comprises …

This paper studies the asymptotic behavior of switched linear systems, beyond classical
stability. We focus on systems having a low-dimensional asymptotic behavior, that is …

We study criteria allowing to compare the conservativeness of stability certificates for
switching systems. The stability certificates under consideration are Path-Complete …

In the context of discrete-time switched systems, we study the comparison of stability
certificates based on path-complete Lyapunov methods. A characterization of this general …

The notion of path-complete p-dominance for switching linear systems (in short, path-
dominance) is introduced as a way to generalize the notion of dominant/slow modes for LTI …