4 papers
Nonautonomous Linear Systems: Exponential Dichotomy and its Applications
Ãlvaro Castañeda, Gonzalo Robledo
The first purpose of this work is to provide a friendly introduction to the theory of nonautonomous linear systems of ordinary differential equations, the property of exponential d…
Generalized Evolution Semigroups and Dichotomies for Evolution Families on Banach Spaces
Ãlvaro Castañeda, Verónica Poblete, Gonzalo Robledo
This paper develops a comprehensive theory generalizing exponential decay patterns for evolution processes in Banach spaces. We replace classical exponential bounds with more flexi…
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…
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…