1 citations · 2 across the 4 of their papers we have counts for
6 papers
First-order plants are globally asymptotically stable under antithetic feedback
Wouter Jongeneel
We show that first-order linear plants are globally asymptotically stable under antithetic feedback. This is shown by constructing an explicit smooth, convex Lyapunov function and…
On global Lyapunov functions being Morse
Wouter Jongeneel
Lyapunov functions have been a cornerstone of dynamical systems theory ever since the early 1900s. Moreover and akin to Morse theory, Lyapunov functions have been the key in linkin…
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…
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…
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…
Imaginary Zeroth-Order Optimization
Wouter Jongeneel
Zeroth-order optimization methods are developed to overcome the practical hurdle of having knowledge of explicit derivatives. Instead, these schemes work with merely access to nois…