UMA Home page for Cristopher Hermosilla
Hermosilla
Cristopher
OC team
Former member
was: post-phd
was: post-phd
Ph.D. 2015
EMAIL_TEMPLATE
Research activities
Ph.D.
I have recently (05/02/2015) defended my PhD dissertation entitled "Optimal control problems on well-structured domains and stratified feedback controls". This work was developed under the supervision of professors Frédéric Jean and Hasnaa Zidani. The main topics involved in this dissertation are the following- Optimal control problems with state-constraints and Hamilton-Jacobi-Bellman equations.
- Optimal control problem on networks.
- Invariance of dynamical systems governed by differential inclusions.
- Stratified feedback-controls.
- Discontinuous Differential Equations and vector fields with tame structure.
- Convex Optimization and Non smooth Analysis,
- Proximal type algorithms for optimization problems.
Teaching activities
Lecturer
- 2014-2015: B7-2 Stabilization by Output Feedback (3rd year) ENSTA Paris.
Teaching assistant
- 2012-2013: AO101 Quadratic Optimization (1st year) ENSTA Paris.
- 2013-2014: AO101 Quadratic Optimization (1st year) ENSTA Paris.
- 2014-2015: Optimization (1st year) ENSAE Paris.
Other activities
2012-2013
- Responsible for the Seminar of the Commands team: link to the web page
Publications
Papers in peer-reviewed journals
2017
- Discontinuous solutions of Hamilton-Jacobi equations on networks *
, and
Journal of Differential Equations, vol. 263 (12), pp. 8418-8466, Elsevier, 2017
- Hamilton-Jacobi-Bellman equations for optimal control processes with convex state constraints
, and
Systems and Control Letters, vol. 109, pp. 30–36, Elsevier, 2017 - The Mayer and Minimum Time Problems with Stratified State Constraints
, and
Set-Valued and Variational Analysis, Springer, 2017
2016
- Legendre Transform and Applications to Finite and Infinite Optimization
Set-Valued and Variational Analysis, vol. 24 (4), pp. 685–705, Springer, mar, 2016
2015
- Infinite horizon problems on stratifiable state-constraints sets
and
Journal of Differential Equations, vol. 258(4), pp. 1420--1460, 2015 - Stratified discontinuous differential equations and sufficient conditions for robustness
Discrete and Continuous Dynamical Systems - Series A, vol. 35, pp. 4415 - 4437, 2015
Conferences without proceedings
2014
- Infinite Horizon Problems on Stratifiable State Constraints Sets
NetCo 2014, Tours, jun, 2014 - Infinite Horizon Problems on Stratifiable State Constraints Sets
The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications, jul, 2014 - Infinite Horizon Problems on Stratifiable State Constraints Sets
MODE 2014, Rennes, mar, 2014
2013
- Infinite Horizon Problems on Stratifiable State-Constraints sets: Motivation and main difficulties
SADCO Doctoral Days 2013, Palaiseau, France, jun, 2013 - Infinite-Horizon Optimal Control Problems on Stratifiable State-Constraints sets
4th International Conference on Continuous Optimization 2013, Lisbon, Portugal, jul, 2013 - Stratified Discontinuous Differential Equations: Existence of Solutions and Robustness
IFIP TC 7, 2013 System Modelling and Optimization, Klagenfurt, Austria, sep, 2013 - Stratified Discontinuous Differential Equations: Existence of Solutions and Robustness
Workshop: OMPC 2013 - SADCO, Bayreuth, Germany, sep, 2013
2012
- Hessian Riemannian metrics on convex sets and related optimization methods
25th European Conference on Operational Research, Vilnius, Lithuania, July 2012, jul, 2012
Seminars
2014
- Optimal control problems with stratified state constraints
Università Degli Studi Di Padova, Padova, Italy, may, 2014
2013
- Stratified Discontinuous Differential Equations: Existence of Solutions and Robustness
Università Degli Studi Di Padova, Padova, Italy, may, 2013
Doctoral these
2015
- Optimal control problems on well-structured domains and stratified feedback controls
École doctorale de l'École Polytechnique, feb, 2015
Research report
2011
- Pseudo-Metrics Induced by Legendres Type Functions and Dynamic Optimization Methods.
Tesis Electrónicas Universidad de Chile, sep, 2011