3 papers
math.DS2024
Smoothness of linearization by mixing parameters of dichotomy, bounded growth and perturbation
Álvaro 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.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…
math.CA2019
Linearization of a nonautonomous unbounded system with nonuniform contraction: A Spectral Approach
I. Huerta
For a nonautonomous linear system with nonuniform contraction, we construct a topological equivalence between this system and an unbounded nonlinear perturbation. This topological…