UMA Home page for Zhiping Rao
Research activities (sorry, only french text)
Doctorat
Thèse en cours depuis la rentrée 2010 sous la direction de Hasnaa Zidani et Nicolas Forcadel sur les thèmes suivants:
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Approche Hamilton-Jacobi-Bellman pour les problèmes du contrôle optimal.
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Méthodes de Fast Marching.
Teaching activities (sorry, only french text)
Monitorat de mathématiques appliquées
Chargé de TD pour les cours suivants à l'ENSTA:
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AO101: Optimisation quadratique.
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AO102: Système dynamique: Stabilité et Commande.
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MA204: Chaînes de Markov.
Publications
Papers in peer-reviewed journals
2019
- Junction conditions for finite horizon optimal control problems on multi-domains with continuous and discontinuous solutions
, and
ESAIM: Control, Optimisation, and Calculus of Variations, vol. 25(79), pp. 38, 2019
2014
- Singular perturbation of optimal control problems on multi-domains
and
SIAM Journal on Control and Optimization, vol. 52 (5), pp. 2917–2943, Society for Industrial and Applied Mathematics, sep, 2014 - Transmission conditions on interfaces for Hamilton-Jacobi-Bellman equations
, and
Journal of Differential Equations, vol. 257(11), pp. 3978--4014, 2014
2013
- State-Constrained Optimal Control Problems of Impulsive Differential Equations
, and
Applied Mathematics & Optimization, vol. 68, pp. 1--19, 2013 
Chapter
2013
- Hamilton-Jacobi-Bellman Equations on Multi-Domains
and
Control and Optimization with PDE Constraints, International Series of Numerical Mathematics, vol. 164, pp. 93-116, Birkhäuser Basel, 2013
International conference with proceedings
2011
- Optimal control problems of BV trajectories with pointwise state constraints
, and
Proceedings of the 18th IFAC World Congress, Milan. Doi: 10.3182/20110828-6-IT-1002.01694, vol. 18, pp. 2583-2588, 2011
Conferences without proceedings
2013
- Junction conditions for Hamilton-Jacobi-Bellman equations on multi-domains
SIAM Conference on control and its applications, San Diego, July 8-10, 2013
2012
- Hamilton-Jacobi equations in singular domains
and
12th Viennese Workshop on Optimal Control, Dynamic Games and Nonlinear Dynamics, Vienna, 30 May- 6 June, 2012 - State-constrained optimal control problems with BV trajectories
Mathématiques de l'Optimisation et de la décision, SMAI. Dijon 28-30 mars, 2012
Doctoral these
2013
- Hamilton-Jacobi-Bellman approach for optimal control problems with discontinuous coefficients
Ecole doctorale de l'Ecole Polytechnique (EDX) - ED 447, dec, 2013