3 papers
math.DS2025
A generalized global Hartman-Grobman theorem for asymptotically stable semiflows
Wouter Jongeneel
Recently, Kvalheim and Sontag provided a generalized global Hartman-Grobman theorem for equilibria under asymptotically stable continuous vector fields. By leveraging topological p…
math.OC2025
Ordering and refining path-complete Lyapunov functions through composition lifts
Wouter Jongeneel, Raphaël M. Jungers
A fruitful approach to study stability of switched systems is to look for multiple Lyapunov functions. However, in general, we do not yet understand the interplay between the desir…
math.DS2024
Asymptotic stability equals exponential stability -- while you twist your eyes
Wouter Jongeneel
Suppose that two vector fields on a smooth manifold render some equilibrium point globally asymptotically stable (GAS). We show that there exists a homotopy between the correspondi…