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Eduardo Cerpa Jeria

Associate Professor

Pontificia Universidad Católica de Chile

Santiago, Chile

Líneas de Investigación


Control Theory, Partial Differential Equations, Inverse Problems

Educación

  •  PhD in Mathematics, UNIVERSITE PARIS SUD - PARIS XI. Francia, 2008
  •  Mathematical engineer, UNIVERSIDAD DE CHILE. Chile, 2004
  •  Master in Mathematics, UNIVERSITE PIERRE ET MARIE CURIE-PARIS VI. Francia, 2005

Experiencia Académica

  •   Assistant Professor Full Time

    UNIVERSIDAD TECNICA FEDERICO SANTA MARIA

    Valparaíso, Chile

    2012 - 2015

  •   Researcher Full Time

    UNIVERSIDAD TECNICA FEDERICO SANTA MARIA

    Valparaíso, Chile

    2009 - 2011

  •   Postdoc Full Time

    University of California San Diego

    La Jolla, Estados Unidos

    2008 - 2009

  •   Associate Professor Full Time

    UNIVERSIDAD TECNICA FEDERICO SANTA MARIA

    Valparaíso, Chile

    2016 - 2019

  •   Profesor Asociado Full Time

    PONTIFICIA UNIVERSIDAD CATOLICA DE CHILE

    Facultad de Matemática

    Santiago, Chile

    2020 - A la fecha

Formación de Capital Humano


A. FINISHED THESIS

1. Master Thesis in Mathematics
Student: Patricio Guzmán
Títle: Análisis y Control de la ecuación de Kuramoto-Sivashinsky
Institution: Universidad Técnica Federico Santa María
Date: August 24, 2012

2. Master Thesis in Mathematics
Student: Esteban Paduro
Title: Approximate Controllability for the Two Trapped Ions System
Co-direction: Alberto Mercado
Institution: Universidad Técnica Federico Santa María
Date: November 15, 2013

3. Engineering Diploma in Mathematics
Student: Esteban Hernández
Title: Control adaptativo de bioprocesos asociados a modelos de microalgas
Institution: Universidad Técnica Federico Santa María
Date: May, 2015

4. Master Thesis in Mathematics
Student: Nicolás Molina
Title: On some controllability problems for Saint-Venant equations
Co-direction: Axel Osses
Institution: Universidad de Chile
Date: August, 2016

5. Master Thesis in Mathematics
Student: Esteban Hernández
Title: Adaptive control for parameter identification in parabolic model of batteries
Institution: Universidad Técnica Federico Santa María
Date: Marzo, 2017

6. PhD Thesis in Mathematics
Student: Patricio Guzmán
Title: Contribution to the control of high-order partial differential equations
Institution: Universidad Técnica Federico Santa María
Date: August, 2017

7. PhD Thesis in Mathematics
Student: Claudia Moreno
Title: Control of systems of partial differential equations of dispersive type
Institution: Universidad Técnica Federico Santa María and Université Paris Saclay
Date: August, 2020

8. Master Thesis in Mathematics
Student: Hugo Parada
Title: Stabilization of some parabolic-elliptic systems
Institution: Universidad Técnica Federico Santa María
Date: September, 2020

B. THESIS IN PROGRESS.

9. Master Thesis in Mathematics
Student: Nelson Cifuentes
Title: Controllability of some KdV systems
Institution: Universidad Técnica Federico Santa María
Expected: December, 2020

10. PhD Thesis in Mathematics
Student: Esteban Hernández
Title: Control properties of some parabolic systems
Institution: Universidad Técnica Federico Santa María and Université Grenoble-Alpes
Date: August, 2021

C. RESEARCH COURSES

1. Title: Stabilization Methods for the Korteweg-de Vries equation
Workshop/School: Summer School of Automatic Control
Place: Grenoble, France
Date: September 10-14, 2012

2. Title: Control and stabilization for the Korteweg-de Vries equation
Workshop/School: PASI Inverse Problems and PDE Control
Place: Santiago, Chile
Date: January 16-20, 2012

3. Title: Inverse Problems
Workshop/School: Escuela en Control y Optimización
Place: Quito, Ecuador
Date: October 21-31, 2013

4. Title: PDE Control Methods
Workshop/School: Short course in Master at Gipsa-lab,
Place: Grenoble, France.
Date: January 2017

5. Title: Control de EDP
Workshop/School: Short course in Graduate level at Universidad de Buenos Aires,
Place: Buenos Aires, Argentina.
Date: November 2018

6. Title: PDE Control Methods
Workshop/School: Short course in Master at Gipsa-lab,
Place: Grenoble, France.
Date: January 2020


Difusión y Transferencia


Dissemination talks at highschool level: "Algunas Aplicaciones de la Matemática"
Framework: Local Mathematical Olympiad organized for students at Universidad Técnica Federico Santa María.
Place: Valparaíso and Santiago


Premios y Distinciones

  •   Alumno destacado

    UNIVERSIDAD DE CHILE

    Chile, 1998

    Outstanding undergraduate student

  •   Alumno destacado

    UNIVERSIDAD DE CHILE

    Chile, 2003

    Outstanding undergraduate student

  •   Alumno destacado

    UNIVERSIDAD DE CHILE

    Chile, 1999

    Outstanding undergraduate student

  •   Maestro Destacado

    UNIVERSIDAD TECNICA FEDERICO SANTA MARIA

    Chile, 2012

    Outstanding lecturer

  •   Maestro Destacado

    UNIVERSIDAD TECNICA FEDERICO SANTA MARIA

    Chile, 2013

    Outstanding lecturer

  •   Maestro destacado

    UNIVERSIDAD TECNICA FEDERICO SANTA MARIA

    Chile, 2014

    Outstanding lecturer

  •   SIAM Activity Group on Control and Systems Theory Prize

    Society for Industrial and Applied Mathematics

    Estados Unidos, 2015

    The SIAM Activity Group on Control and Systems Theory (SIAG/CST) Prize is awarded every two years to an early career researcher for outstanding research contributions, as determined by the prize committee, to mathematical control or systems theory. The contributions must be contained in a paper or papers published in English in peer-reviewed journals.


 

Article (28)

BOUNDARY CONTROLLABILITY OF THE KORTEWEG-DE VRIES EQUATION ON A TREE-SHAPED NETWORK
Local exact controllability to the trajectories of the Korteweg-de Vries-Burgers equation on a bounded domain with mixed boundary conditions
On the boundary controllability of the Korteweg-de Vries equation on a star-shaped network
Singular Perturbation Analysis of a Coupled System Involving the Wave Equation
Boundary controllability of a cascade system coupling fourth- and second-order parabolic equations
Backstepping Control of a Wave PDE With Unstable Source Terms and Dynamic Boundary
On the controllability of the Boussinesq equation in low regularity
ON THE CONTROLLABILITY OF THE IMPROVED BOUSSINESQ EQUATION
Output feedback stabilization of the Korteweg-de Vries equation
GLOBAL STABILIZATION OF A KORTEWEG-DE VRIES EQUATION WITH SATURATING DISTRIBUTED CONTROL
ON THE CONTROL OF THE LINEAR KURAMOTO-SIVASHINSKY EQUATION
Insensitizing controls for a phase field system
Internal null controllability of a linear Schrodinger-KdV system on a bounded interval
Local controllability of the stabilized Kuramoto-Sivashinsky system by a single control acting on the heat equation
NULL CONTROLLABILITY OF THE STABILIZED KURAMOTO-SIVASHINSKY SYSTEM WITH ONE DISTRIBUTED CONTROL
CONTROL OF A KORTEWEG-DE VRIES EQUATION: A TUTORIAL
On the determination of the principal coefficient from boundary measurements in a KdV equation
BOUNDARY CONTROLLABILITY OF THE KORTEWEG-DE VRIES EQUATION ON A BOUNDED DOMAIN
Lipschitz stability in an inverse problem for the Kuramoto-Sivashinsky equation
Rapid stabilization for a Korteweg-de Vries equation from the left Dirichlet boundary condition
On the boundary control of a parabolic system coupling KS-KdV and Heat equations
A NOTE ON THE PAPER "ON THE CONTROLLABILITY OF A COUPLED SYSTEM OF TWO KORTEWEG-DE VRIES EQUATIONS"
Local exact controllability to the trajectories of the 1-D Kuramoto-Sivashinsky equation
BOUNDARY STABILIZATION OF A 1-D WAVE EQUATION WITH IN-DOMAIN ANTIDAMPING
Null controllability and stabilization of a linear Kuramoto-Sivashinsky equation
Boundary controllability for the nonlinear Korteweg–de Vries equation on any critical domain
Rapid exponential stabilization for a linear Korteweg-de Vries equation
Exact controllability of a nonlinear Korteweg-de Vries equation on a critical spatial domain

ConferencePaper (3)

Stabilization of a linear Korteweg-de Vries equation with a saturated internal control
Output Feedback Control of the Linear Korteweg-de Vries Equation
Boundary stabilization of an anti-stable wave equation with in-domain anti-damping

Proyecto (10)

Millennium Nucleus for Applied Control and Inverse Problems
Control of infinite-dimensional coupled systems
Control of distributed parameter systems with applications in physical networks
Control and inverse problems of partial differential equations
Control of nonlinear waves and front propagation
Control Systems and Identification Problems
Controllability of some partial differential equations
Analysis of Control Problems and Applications
Controllability and Inverse Problems in Partial Differential Equations
Controllability of nonlinear partial differential equations
26
Eduardo Cerpa

Associate Professor

Instituto de Ingeniería Matemática y Computacional

Pontificia Universidad Católica de Chile

Santiago, Chile

6
Alberto Mercado

Associate Professor

Departamento de Matemática

UNIVERSIDAD TÉCNICA FEDERICO SANTA MARÍA

Valparaíso, Chile

3
Nicolás Carreño

Profesor Asistente

Departamento de Matemática

Universidad Tecnica Federico Santa María

Valparaíso, Chile

1
Patricio Guzmán

Profesor Auxiliar

Matemática

Universidad Técnica Federico Santa María

Valparaíso, Chile