Gonzalo Robledo Veloso

Non Autonomous Systems

Á. Castañeda, I. Huerta, G. Robledo. The dichotomy spectrum approach for a global nonuniform asymptotic stability problem: Triangular case via uniformization. Canadian Mathematical Journal (to be published)
H. Elorreaga, J.F. Peña, G. Robledo. Noncritical uniformity and expansiveness for uniform h-dichotomies. Mathematische Annalen. Volume 393, pp. 1769-1795, 2025.
C. Gallegos, G. Robledo. Criterion for exponential dichotomy of periodic generalized linear differential equations and an application to admissibility. J. Dynamics and Differential Equations. Volume 36, Issue 4, pp. 3949-3965, 2024.
C. Gallegos, G. Robledo. On stability for generalized linear differential equations and applications to impulsive systems. Proceedings A of the Royal Society of Edinburgh. Volume 154, Number 2, pp. 381--407, 2024.
G. Robledo, D. Urrutia-Vergara. Some new results for the smoothness of topological equivalence in uniformly asymptotically stable systems. Electronic Journal of Qualitative Theory of Differential Equations, 2023, Number 46, 1-21.
Á. Castañeda, P. Monzón, G. Robledo. Nonuniform contractions and converse stability results via a smooth topological equivalence. Dynamical Systems, Volume 38, Number 2, pp. 179-196, 2023.
Á. Castañeda, P. Gonzalez, G. Robledo. Topological Equivalence of nonautonomous difference equations with a family of dichotomies on the half line. Communications in Pure and Applied Analysis, Volume 20, Issue 2, pp, 511-532, 2021.
Á. Castañeda, P. Monzón, G. Robledo. Smoothness of topological equivalence on the half--line for nonautonomous systems. Proceedings A of the Royal Society of Edinburgh, Volume 150, Issue 5, pp.2484-2502, 2020.
Á. Castañeda, G. Robledo. A Spectral Dichotomy Version of the Nonautonomous Markus--Yamabe Conjecture} Journal of Differential Equations, Volume 268, Number 8, pp.4544-4554, 2020.
P. Amster, M. Kuna, G. Robledo. Multiple solutions for periodic perturbations of a delayed autonomous system near an equilibrium. Communications in Pure and Applied Analysis, Volume 18, Number 4, pp. 1695-1709, 2019.

Mathematical Biology

R. Ramos-Jiliberto, G. Robledo, D. Sepúlveda. Sensitivity analysis for time varying ecological networks. SIAM Journal on Applied Dynamical Systems. Volume 24, pp.2287-2317, 2025.
P. Amster, G. Robledo, D. Sepúlveda. Dynamics of a delayed discrete size-structured chemostat with periodic nutrient supply. Communications in Nonlinear Science and Numerical Simulation. Volume 132, 107904, 2024.
F. Mazenc, G. Robledo, D. Sepúlveda. A stability Analysis of a Time-varying Chemostat with pointwise Delay. Mathematical Biosciences and Engineering. Volume 21, pp. 2691-2728, 2024.
P. Amster, G. Robledo, D. Sepúlveda. Dynamics of a discrete size-structured chemostat with variable nutrient supply, Discrete and Continuous Dynamical Systems Series-B. Volume 28, 4937-4967, 2023.
P. Amster, G. Robledo, D. Sepúlveda. Dynamics of a chemostat with periodic nutrient supply and delay in the growth. Nonlinearity, Volume 33, pp.5839-5860, 2020.
P. Amster, G. Robledo, D. Sepúlveda. Existence of $\omega$-periodic solutions for a delayed chemostat with periodic inputs. Nonlinear Analysis: Real World Applications, Volume 55, pp.103-134, 2020.
M. Malisoff, F. Mazenc, G. Robledo. Stability and robustness analysis for a multispecies chemostat model with delays in the growth rates and uncertainties. Discrete and Continuous Dynamical Systems. Series-B. Volume 23, pp. 1851-1872, 2018.
F. Córdova-Lepe, G. Robledo, M.E. Solis. Pulse hospitalization to control SIS diseases on farms: economics effects. Journal of Biological Systems, Volume 24, pp. 311-331, 2016.
F. Córdova-Lepe, G. Robledo, J. Cabrera-Villegas. Population growth modeling with boom and bust patterns: the impulsive differential equation formalism, Journal of Biological Systems, Volumen 23, Special number, pp. S135-S149, 2015.
F. Córdova-Lepe, R. Del Valle, G. Robledo. Stability analysis of self-cycling fermentation model with state-dependent impulse times, Mathematical Methods in the Applied Sciences, Volume 37, pp. 1460 - 1475, 2014

Linear Control Theory

P. Monzón, I. Huerta, G. Robledo. Controllability and feedback stabilizability in a nonuniform framework. Comptes Rendus - Mathémathique. Volume 362, pp.1667-1692, 2024.
M. Pinto, G. Robledo. Controllability and observability for a linear time varying system with a piecewise constant delay. Acta Applicandae Mathematicae, Volume 136, pp. 193 - 216, 2015.