3 papers
math.DS2026
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.DS2025
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…
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…