3 papers
math.DS2025
Smoothness of linearization by mixing parameters of dichotomy, bounded growth and perturbation
Ãlvaro Castañeda, Ignacio Huerta, Gonzalo Robledo
We study the smoothness properties of a global and nonautonomous topological conjugacy between a linear system and a quasilinear perturbation. The linear system exhibits a nonunifo…
math.AG2025
An application of a nonuniform global stability problem to the study of parametrized polynomial automorphisms
Ãlvaro Castañeda, Ignacio Huerta, Gonzalo Robledo
We propose a handful of definitions of injectivity for a parametrized family of maps and study its link with a global nonuniform stability conjecture for nonautonomous differential…
math.OC2024
Controllability and feedback stabilizability in a nonuniform framework
Ignacio Huerta, Pablo Monzón, Gonzalo Robledo
We propose a new controllability property for linear time varying control systems in finite dimension: the nonuniform complete controllability, which is halfway between the classic…