UMA Home page for Anna Désilles
Research activities (sorry, only french text)
Mes recherches sont consacrées au développement des méthodes numériques et de codes de calcul pour l'analyse des systèmes dynamiques. Elles s'articulent autour de deux approches:
-méthodes numériques pour les équations de Hamilton-Jacobi
-algorithmes de viabilité
Publications
Papers in peer-reviewed journals
2021
- Global Optimization Approach for the Ascent Problem of Multi-stage Launchers
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Modeling, Simulation and Optimization of Complex Processes HPSC 2018. Springer, Cham., pp. 1--42, Bock H.G., Jäger W., Kostina E., Phu H.X. (eds), 2021
2019
- Pareto Front Characterization for Multiobjective Optimal Control Problems Using Hamilton--Jacobi Approach
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SIAM J. on Control and Optimization, vol. 57 (6), pp. 3884-3910, SIAM, 2019
2018
- Bounded set of Economic Uncertainty and Robust Viability
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Natural Resource Modeling, Wiley, jul, 2018 - Value function and optimal trajectories for a maximum running cost control problem with state constraints. Application to an abort landing problem.
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ESAIM: Mathematical Modelling and Numerical Analysis (ESAIM: M2AN), vol. 52(1), pp. 305--335, 2018
2017
- Agroecological transition: A viability model to assess soil restoration
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Natural Resource Modeling, vol. 30(3), Wiley, aug, 2017 
2015
- Cournot Maps for Intercepting Evader Evolutions by a Pursuer
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Dynamic Games and Applications, vol. 5(3), pp. 275-296., Springer, sep, 2015
2013
- Explicit Construction of Solutions to the Burgers Equation with Discontinuous Initial-Boundary Conditions
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Networks and Heterogeneous Media, vol. 8(3), pp. 727-744, 2013 - Viability approach to Hamilton-Jacobi-Moskowitz problem involving variable regulation parameters
Networks and Heterogeneous Media, vol. 8(3), pp. 707-726, 2013
Book
2016
- Traffic Networks as Information Systems. A viability approach.
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Springer, jan, 2016
International conferences with proceedings
2018
- Optimization of the launcher ascent trajectory leading to the global optimum without any initialization: the breakthrough of the HJB approach
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EUCASS Proceedings "Progress in Flight Dynamics, Guidance, Navigation, and Control",, vol. 10, pp. 159-176, Selected paper at the "6th European Conference for Aeronautics and Space Sciences - EUCASS", June 2015, Kraków, Poland., 2018
2017
- New improvements in the optimization of the launcher ascent trajectory through the HJB approach
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Proceedings of "7TH EUROPEAN CONFERENCE FOR AERONAUTICS AND SPACE SCIENCES (EUCASS)", 2017, 15p., 2017 - Payload optimization for multi-stage launchers using HJB approach and application to a SSO mission
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vol. 50(1), pp. 2904-2910, The 20th IFAC World Congress (Toulouse), 2017
2016
- A Hamilton-Jacobi-Bellman approach for the optimal control of an abort landing problem
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IEEE 55th Conference on Decision and Control (CDC), 2016, dec, 2016 - HJB approach for a multi-boost launcher trajectory optimization problem
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IFAC Proceedings, vol. 49-17, pp. 456-461, 20th IFAC Symposium on Automatic Control in Aerospace - ACA 2016, Aug 2016, Sherbrooke, Quebec, Canada., 2016
2012
- Collision analysis for a UAV
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AIAA Guidance, Navigation and Control Conference, Minneapolis (USA), 13-16 August. Doi: 10.2514/6.2012-4526, vol. Chapt. 4526, pp. 23 pages, 2012
2011
- HJB approach for motion planning and reachabilty analysis
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Proceeding of the 5th International ICST Conference on Performance Evaluation Methodologies and Tools (ValueTools'2011), pp. 28--36, 2011
Conferences without proceedings
2017
- Pareto Front Characterization for Multi-Objective Optimal Control Problems using HJB Approach
2017 SIAM Conference on Control and Its Applications, aug, 2017
2011
- Viability approach to Hamilton-Jacobi-Moskowitz problem involving variable regulation parameters
Workshop "Mathematics of Traffic Flow Modeling, Estimation and Control", dec, 2011