Publications

Published/ In press papers

  1. Hamilton-Jacobi-Bellman equations for optimal control processes with convex state constraints (with R. Vinter and H. Zidani) in Systems & Control Letters : (Journal version) ; (PDF)
  2. Discontinuous solutions of Hamilton-Jacobi equations on networks (with P.J. Graber and H. Zidani) in Journal of Differential Equations : (Journal version) ; (PDF)
  3. HJB approach for state constrained optimal control problems (with A. Picarelli) in Optimal Control: Novel Directions and Applications, (Editors: D. Tonon, M.A. Aronna and D. Kalise), Lectures Notes in Mathematics, Volume 2180: (Link)
  4. The Mayer and minimum time problems with stratified state constraints (with P. Wolenski and H. Zidani) in Set-Valued and Variational Analysis: (Journal version) ; (PDF)
  5. Constrained and impulsive Linear Quadratic control problems (with P. Wolenski) in Proceedings of the 20th World Congress of the International Federation of Automatic Control 2017: (Journal version) ; (PDF)
  6. Self-dual approximations to fully convex impulsive systems (with P. Wolenski) in Proceedings of the 55th IEEE Conference on Decision and Control 2016: (Journal version) ; (PDF)
  7. Legendre transform and applications to finite and infinite optimization in Set-Valued and Variational Analysis: (Journal version) ; (PDF)
  8. Stratified discontinuous differential equations and sufficient conditions for robustness in Discrete and Continuous Dynamical Systems - Series A: (Journal version) ; (PDF)
  9. Infinite horizon problems on stratifiable state-constraints sets (with H. Zidani) in Journal of Differential Equations: (Journal version) ; (PDF)

Dissertations
  1. Doctorate degree: Optimal control problems on well-structured domains and stratified feedback controls: (PDF)
  2. Mathematical Engineering degree: Pseudo-metrics induced by Legendre type functions and dynamic optimization methods.: (PDF)


Submitted
  1. The viability kernel of a dynamical systems with mixed constraints: A level sets approach (with P. Gajardo)
  2. On a characterization of optimal profiles in open pit mining (with J. Amaya and E. Molina)
  3. An algorithm for maximizing the biogas production in a chemostat (with A. Haddon)
  4. Generalized characteristic method for fully convex impulsive systems (with P. Wolenski)
  5. On the construction of nearly time-optimal continuous feedback laws around switching manifolds (with F. Ancona)
Work in progress
  1. On the Pareto front of the set of sustainable thresholds for constrained control systems (with P. Gajardo)
  2. General convergence for self-dual approximations to fully convex impulsive systems (with P. Wolenski)
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Grants

Ongoing
  1. 2018 - 2019 REDES grant number REDI170200: Estudio de problemas de Control Óptimo gobernados por Procesos de Arrastre: Teoría y Aplicaciones (Responsible researcher)
  2. 2018 - 2019 MathAmsud 18-MATH-05: MOVECO : Modeling, Optimization and Viability for Epidemics Control (Researcher), project led by Olga Vasilieva (Universidad del Valle, Colombia)
  3. 2017 - 2020 FONDECYT grant number 3170485: Study of stratified optimal control problems via level-sets approach: theory and applications (Responsible researcher)
Finished
  1. 2011 - 2014 Marie Curie Fellowship, grant number 264735-SADCO: Sensitivity Analysis for Deterministic Control Design Initial Training Network (ITN-SADCO) (PhD student)
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Teaching

Ongoing
  1. MAT021 - Matemática I (Complementos) : (Syllabus)
Previous
  1. MAT410 - Análisis Convexo: (Syllabus)
  2. MAT279 (MAT275) - Optimización no Lineal (Optimización): (Syllabus) (Notes)
  3. MAT021 - Matemática I (Complementos) : (Syllabus)
  4. MATH 1553 - HONORS: Analytic Geometry and Calculus II (Fall 2016, Louisiana State University) (Syllabus)
  5. MATH 7390 - Calculus of Variations and Optimal Control (Fall 2016, Louisiana State University) (Syllabus) (Notes)
  6. MATH 4031 - Advanced Calculus I (Spring 2016, Louisiana State University) (Syllabus) (Notes)
  7. MATH 2057 - Multidimensional Calculus (Fall 2015, Louisiana State University) (Syllabus)
  8. B7-2 - Stabilisation par bouclage (Spring 2015, ENSTA ParisTech)
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