4 papers
A Lyapunov-Based Perspective on Absolute Stability
Tessina H. Scholl
This article presents a unifying perspective on absolute stability concepts. In particular, it develops a Lyapunov-like explanatory framework for a nonscalar circle criterion with…
Lyapunov-Krasovskii Functionals of Robust Type for the Stability Analysis in Time-Delay Systems
Tessina H. Scholl
Inspired by the widespread concept of Lyapunov-Krasovskii functionals of complete type, this article proposes an alternative class of functionals, termed Lyapunov-Krasovskii functi…
Time Delay in the Swing Equation: A Variety of Bifurcations
Tessina H. Scholl, Lutz Gröll, Veit Hagenmeyer
The present paper addresses the swing equation with additional delayed damping as an example for pendulum-like systems. In this context, it is proved that recurring sub- and superc…
On Norm-Based Estimations for Domains of Attraction in Nonlinear Time-Delay Systems
Tessina H. Scholl, Veit Hagenmeyer, Lutz Gröll
For nonlinear time-delay systems, domains of attraction are rarely studied despite their importance for technological applications. The present paper provides methodological hints…