Academic literature on the topic 'Principe du maximum Pontryagin'
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Journal articles on the topic "Principe du maximum Pontryagin"
Bongini, Mattia, Massimo Fornasier, Francesco Rossi, and Francesco Solombrino. "Mean-Field Pontryagin Maximum Principle." Journal of Optimization Theory and Applications 175, no. 1 (August 10, 2017): 1–38. http://dx.doi.org/10.1007/s10957-017-1149-5.
Full textArtstein, Zvi. "Pontryagin Maximum Principle Revisited with Feedbacks." European Journal of Control 17, no. 1 (January 2011): 46–54. http://dx.doi.org/10.3166/ejc.17.46-54.
Full textAvakov, E. R., and G. G. Magaril-Il’yaev. "Pontryagin maximum principle, relaxation, and controllability." Doklady Mathematics 93, no. 2 (March 2016): 193–96. http://dx.doi.org/10.1134/s1064562416020216.
Full textCardin, Franco, and Andrea Spiro. "Pontryagin maximum principle and Stokes theorem." Journal of Geometry and Physics 142 (August 2019): 274–86. http://dx.doi.org/10.1016/j.geomphys.2019.04.014.
Full textRoth, Oliver. "Pontryagin’s Maximum Principle for the Loewner Equation in Higher Dimensions." Canadian Journal of Mathematics 67, no. 4 (August 1, 2015): 942–60. http://dx.doi.org/10.4153/cjm-2014-027-6.
Full textLovison, Alberto, and Franco Cardin. "A Pareto–Pontryagin Maximum Principle for Optimal Control." Symmetry 14, no. 6 (June 6, 2022): 1169. http://dx.doi.org/10.3390/sym14061169.
Full textAgrachev, A. A., and R. V. Gamkrelidze. "The Pontryagin Maximum Principle 50 years later." Proceedings of the Steklov Institute of Mathematics 253, S1 (July 2006): S4—S12. http://dx.doi.org/10.1134/s0081543806050026.
Full textGrabowski, Janusz, and MichałJóźwikowski. "Pontryagin Maximum Principle on Almost Lie Algebroids." SIAM Journal on Control and Optimization 49, no. 3 (January 2011): 1306–57. http://dx.doi.org/10.1137/090760246.
Full textOhsawa, Tomoki. "Contact geometry of the Pontryagin maximum principle." Automatica 55 (May 2015): 1–5. http://dx.doi.org/10.1016/j.automatica.2015.02.015.
Full textMagaril-Il’yaev, G. G. "The Pontryagin maximum principle: Statement and proof." Doklady Mathematics 85, no. 1 (February 2012): 14–17. http://dx.doi.org/10.1134/s1064562412010048.
Full textDissertations / Theses on the topic "Principe du maximum Pontryagin"
Bourdin, Loïc. "Contributions au calcul des variations et au principe du maximum de Pontryagin en calculs time scale et fractionnaire." Thesis, Pau, 2013. http://www.theses.fr/2013PAUU3009/document.
Full textThis dissertation deals with the mathematical fields called calculus of variations and optimal control theory. More precisely, we develop some aspects of these two domains in discrete, more generally time scale, and fractional frameworks. Indeed, these two settings have recently experience a significant development due to its applications in computing for the first one and to its emergence in physical contexts of anomalous diffusion for the second one. In both frameworks, our goals are: a) to develop a calculus of variations and extend some classical results (see below); b) to state a Pontryagin maximum principle (denoted in short PMP) for optimal control problems. Towards these purposes, we generalize several classical variational methods, including the Ekeland’s variational principle (combined with needle-like variations) as well as variational invariances via the action of groups of transformations. Furthermore, the investigations for PMPs lead us to use fixed point theorems and to consider the Lagrange multiplier technique and a method based on a conic implicit function theorem. This manuscript is made up of two parts : Part A deals with variational problems on time scale and Part B is devoted to their fractional analogues. In each of these parts, we follow (with minor differences) the following organization: 1. obtaining of an Euler-Lagrange equation characterizing the critical points of a Lagrangian functional; 2. statement of a Noether-type theorem ensuring the existence of a constant of motion for Euler-Lagrange equations admitting a symmetry;3. statement of a Tonelli-type theorem ensuring the existence of a minimizer for a Lagrangian functional and, consequently, of a solution for the corresponding Euler-Lagrange equation (only in Part B); 4. statement of a PMP (strong version in Part A and weak version in Part B) giving a necessary condition for the solutions of general nonlinear optimal control problems; 5. obtaining of a Helmholtz condition characterizing the equations deriving from a calculus of variations (only in Part A and only in the purely continuous and purely discrete cases). Some Picard-Lindelöf type theorems necessary for the analysis of optimal control problems are obtained in Appendices
Lagache, Marc-Aurèle. "Analyse de problèmes inverses et directs en théorie du contrôle." Thesis, Toulon, 2017. http://www.theses.fr/2017TOUL0008/document.
Full textThe overall context of this thesis is the study of inverse and direct problems in control theory. More specifically, the following three problems are studied.The first one is an optimal control problem (direct approach). The aim is to give a time minimum systhesis fora kinematic model of a UAV flying at constant altitude with positive (non-necessarily constant) linear velocityin order to steer it to a fixed circle of minimum turning radius.The second problem deals with an inverse approach of optimal control. The aim is to develop theoretical methods in order to reconstruct the minimized criterion in an optimal control problem from a set of solution to this problem. The aim is also to characterize the « good » sets of trajectories leading to the reconstruction of the criterion. In the last fifteen years, there has been a renewed interest in inverse optimal control, especially inhuman motor behavior. Indeed, according to a well accepted paradigm in neurophysiology, among all possible movements, those actually accomplished are solutions of an optimization process.The third problem tackles output feedback stabilization. We analyze, via a simple academic example from quantum control, the problem of dynamic output feedback stabilization, when the point where we want to stabilize corresponds to a control value that makes the system unobservable. The general idea is to perturb the stabilizing state feedback in order to ensure the observability of the system while stabilizing it to the target.The analysis of this example allows, secondly, to identify a general procedure that can be applied to a widerclass of systems
Sebesta, Kenneth. "Optimal observers and optimal control : improving car efficiency with Kalman et Pontryagin." Phd thesis, Université de Bourgogne, 2010. http://tel.archives-ouvertes.fr/tel-00935177.
Full textFontaine, Clément. "Supervision optimale des véhicules électriques hybrides en présence de contraintes sur l’état." Thesis, Valenciennes, 2013. http://www.theses.fr/2013VALE0024.
Full textParallel hybrid electric vehicles are generally propelled by an internal combustion engine, which is combined to a reversible electric machine. The power flows between these two traction devices are determined by a supervisory control algorithm, which aims at reducing the fuel consumption and possibly some polluting emissions. In the literature, optimal control theory is now recognized as a powerful framework for the synthesis of energy management strategies for full hybrid vehicles. These strategies are referred to as “Equivalent Consumption Minimization Strategies” (ECMS) and are based on the Pontryagin Maximum Principle. To demonstrate the optimality of ECMS, it must be assumed that the storage system limits are not reached during the drive cycle. This hypothesis cannot be made anymore when considering the micro and mild hybrid vehicles studied in this thesis because the state variable generally reaches several times the boundaries. Some mathematical tools suitable for the study of state constrained optimal control problems are introduced and applied to two energy management problems. The first problem consists in determining the optimal profile of the voltage across a pack of ultra-capacitors. The second problem focuses on a dual storage system. The stress is put on the study of the optimality conditions holding in case of active state constraints. Some consequences of these conditions for the online control are pointed out are exploited for the design of a real-time controller. Its performances are assessed using a demonstrator vehicle. A comparison with a classical ECMS-based approach is also provided
Bertin, Étienne. "Robust optimal control for the guidance of autonomous vehicles." Electronic Thesis or Diss., Institut polytechnique de Paris, 2022. http://www.theses.fr/2022IPPAE012.
Full textThe guidance of a reusable launcher is a control problem that requires both precision and robustness: one must compute a trajectory and a control such that the system reaches the landing zone, without crashing into it or exploding mid-flight, all while using as little fuel as possible. Optimal control methods based on Pontryagin's Maximum Principle can compute an optimal trajectory with great precision, but uncertainties, the discrepancies between estimated values of the initial state and parameters and actual values, cause the actual trajectory to deviate, which can be dangerous. In parallel, set-based methods and notably validated simulation can enclose all trajectories of a system with uncertainties.This thesis combines those two approaches to enclose sets of optimal trajectories of a problem with uncertainties to guarantee the robustness of the guidance of autonomous vehicles.We start by defining sets of optimal trajectories for systems with uncertainties, first for mathematically perfect trajectories, then for the trajectory of a vehicle subject to estimation errors that can use, or not use, sensor information to compute a new trajectory online. Pontryagin's principle characterizes those sets as solutions of a boundary value problem with dynamics subject to uncertainties. We develop algorithms that enclose all solutions of these boundary value problem using validated simulation, interval arithmetic and contractor theory. However, validated simulation with intervals is subject to significant over-approximation that limits our methods. To remedy that we replace intervals by constrained symbolic zonotopes. We use those zonotopes to simulate hybrid systems, enclose the solutions of boundary value problems and build an inner-approximation to complement the classical outer-approximation. Finally, we combine all our methods to compute sets of trajectories for aerospace systems and use those sets to assess the robustness of a control
Nayet, Aymeric. "Improvement of a trajectory optimization software for future Ariane missions." Electronic Thesis or Diss., Sorbonne université, 2022. http://www.theses.fr/2022SORUS591.
Full textThis thesis work is about the improvement of an ArianeGroup in-house software dedicated to the optimization of launcher trajectories. The original version is able to find a minimum consumption trajectory for an upper stage of a three-stage launcher outside the atmosphere in one or two boosts through a fully automatic method. The goal is to build on this existing work to create a method capable of finding an upper stage trajectory for a two-stage launcher. The specificity is that the stage has a lower initial velocity, a heavier mass and it is ignited at a lower altitude. The improvements also concern the addition of a maximum thermal flux constraint, a ballistic duration constraint and a fairing jettisoning constraint on a thermal flux criterion. Moreover, the new software is now able to target different combinations of orbital parameters. We take advantage of the work done on two-stage launchers to make the software capable of jettisoning a lower stage and thus optimizing the transfer of a three-stage launcher since the ejection of boosters. All these improvements are based on subsequent mathematical developments and novelties about hybrid optimal control problems, in particular when the dynamics of the problem is that of the flight of a launcher
Cerf, Max. "Optimisation de trajectoires spatiales. Vol d'un dernier étage de lanceur - Nettoyage des débris spatiaux." Phd thesis, Université Pierre et Marie Curie - Paris VI, 2012. http://tel.archives-ouvertes.fr/tel-00736748.
Full textTaylor, Tracy A. "Optimal Control and Its Application to the Life-Cycle Savings Problem." VCU Scholars Compass, 2016. http://scholarscompass.vcu.edu/etd/4288.
Full textKontz, Cyrill. "Contrôle Optimal de la Dynamique Dissipative de Systèmes Quantiques." Phd thesis, Université de Bourgogne, 2008. http://tel.archives-ouvertes.fr/tel-00325098.
Full textFontaine, Clément. "Supervision optimale des véhicules électriques hybrides en présence de contraintes sur l'état." Phd thesis, Université de Valenciennes et du Hainaut-Cambresis, 2013. http://tel.archives-ouvertes.fr/tel-00981589.
Full textBooks on the topic "Principe du maximum Pontryagin"
Aseev, S. M. The Pontryagin maximum principle and optimal economic growth problems. Moscow: MAIK Nauka/Interperiodica, 2007.
Find full textLü, Qi, and Xu Zhang. General Pontryagin-Type Stochastic Maximum Principle and Backward Stochastic Evolution Equations in Infinite Dimensions. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-06632-5.
Full textLobry, C., Jérôme Harmand, Alain Rapaport, and Tewfik Sari. Optimisation des Bioprocédés: Pratique du Principe du Maximum de Pontryagin. ISTE Editions Ltd., 2019.
Find full textZhang, Xu, and Qi Lü. General Pontryagin-Type Stochastic Maximum Principle and Backward Stochastic Evolution Equations in Infinite Dimensions. Springer London, Limited, 2014.
Find full textGeneral Pontryagin-Type Stochastic Maximum Principle and Backward Stochastic Evolution Equations in Infinite Dimensions. Springer, 2014.
Find full textLobry, Claude, Jérôme Harmand, Alain Rapaport, and Tewfik Sari. Optimal Control in Bioprocesses: Pontryagin's Maximum Principle in Practice. Wiley & Sons, Incorporated, John, 2019.
Find full textLobry, Claude, Jérôme Harmand, Alain Rapaport, and Tewfik Sari. Optimal Control in Bioprocesses: Pontryagin's Maximum Principle in Practice. Wiley & Sons, Incorporated, John, 2019.
Find full textLobry, Claude, Jérôme Harmand, Alain Rapaport, and Tewfik Sari. Optimal Control in Bioprocesses: Pontryagin's Maximum Principle in Practice. Wiley & Sons, Incorporated, John, 2019.
Find full textLobry, Claude, Jérôme Harmand, Alain Rapaport, and Tewfik Sari. Optimal Control in Bioprocesses: Pontryagin's Maximum Principle in Practice. Wiley & Sons, Incorporated, John, 2019.
Find full textKhailov, Evgenii, Nikolai Grigorenko, Ellina Grigorieva, and Anna Klimenkova. Controlled Lotka-Volterra systems in the modeling of biomedical processes. LCC MAKS Press, 2021. http://dx.doi.org/10.29003/m2448.978-5-317-06681-9.
Full textBook chapters on the topic "Principe du maximum Pontryagin"
Agrachev, Andrei A., and Yuri L. Sachkov. "Pontryagin Maximum Principle." In Control Theory from the Geometric Viewpoint, 167–89. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-06404-7_12.
Full textBadescu, Viorel. "The Maximum Principle (Pontryagin)." In Optimal Control in Thermal Engineering, 89–109. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-52968-4_5.
Full textGeorgiev, Svetlin G. "The Pontryagin Maximum Principle." In Fuzzy Dynamic Equations, Dynamic Inclusions, and Optimal Control Problems on Time Scales, 717–28. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-76132-5_12.
Full textArutyunov, Aram V. "Optimal Control Problem. Pontryagin maximum Principle." In Optimality Conditions: Abnormal and Degenerate Problems, 89–179. Dordrecht: Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-015-9438-7_2.
Full textLü, Qi, and Xu Zhang. "Pontryagin-Type Stochastic Maximum Principle and Beyond." In Mathematical Control Theory for Stochastic Partial Differential Equations, 387–475. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-82331-3_12.
Full textSchättler, Heinz, and Urszula Ledzewicz. "The Pontryagin Maximum Principle: From Necessary Conditions to the Construction of an Optimal Solution." In Interdisciplinary Applied Mathematics, 83–194. New York, NY: Springer New York, 2012. http://dx.doi.org/10.1007/978-1-4614-3834-2_2.
Full textSumin, Mikhail. "Stable Sequential Pontryagin Maximum Principle as a Tool for Solving Unstable Optimal Control and Inverse Problems for Distributed Systems." In IFIP Advances in Information and Communication Technology, 482–92. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-55795-3_46.
Full textGrammel, Goetz. "Pontryagin’s Maximum Principle via Singular Perturbations." In Control and Estimation of Distributed Parameter Systems, 189–201. Basel: Birkhäuser Basel, 2003. http://dx.doi.org/10.1007/978-3-0348-8001-5_12.
Full textVinter, Richard B. "Optimal Control and Pontryagin’s Maximum Principle." In Encyclopedia of Systems and Control, 950–56. London: Springer London, 2015. http://dx.doi.org/10.1007/978-1-4471-5058-9_200.
Full textVinter, Richard B. "Optimal Control and Pontryagin’s Maximum Principle." In Encyclopedia of Systems and Control, 1–9. London: Springer London, 2013. http://dx.doi.org/10.1007/978-1-4471-5102-9_200-1.
Full textConference papers on the topic "Principe du maximum Pontryagin"
Fernandez, Oscar E., Anthony M. Bloch, and Tom Mestdag. "The pontryagin maximum principle applied to nonholonomic mechanics." In 2008 47th IEEE Conference on Decision and Control. IEEE, 2008. http://dx.doi.org/10.1109/cdc.2008.4738846.
Full textApreutesei, Narcisa. "Pontryagin maximum principle for a community of several species." In 2014 18th International Conference on System Theory, Control and Computing (ICSTCC). IEEE, 2014. http://dx.doi.org/10.1109/icstcc.2014.6982442.
Full textJoshi, Anant A., Debasish Chatterjee, and Ravi N. Banavar. "Robust Discrete-Time Pontryagin Maximum Principle on Matrix Lie Groups." In 2020 59th IEEE Conference on Decision and Control (CDC). IEEE, 2020. http://dx.doi.org/10.1109/cdc42340.2020.9303794.
Full textPereira, Fernando Lobo, Silvio Gama, Nagwa Arafa, and Roman Chertovskih. "A Recursive Algorithm Based on the Maximum Principle of Pontryagin." In 2018 13th APCA International Conference on Automatic Control and Soft Computing (CONTROLO). IEEE, 2018. http://dx.doi.org/10.1109/controlo.2018.8514293.
Full textJustino, P. A. P. "Pontryagin Maximum Principle and Control of a OWC Power Plant." In 25th International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2006. http://dx.doi.org/10.1115/omae2006-92057.
Full textKim, A. V., V. M. Kormyshev, O. B. Kwon, and E. R. Mukhametshin. "On the Pontryagin maximum principle for systems with delays. Economic applications." In PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING 2017 (ICCMSE-2017). Author(s), 2017. http://dx.doi.org/10.1063/1.5012328.
Full textKotpalliwar, Shruti, Pradyumna Paruchuri, Karmvir Singh Phogat, Debasish Chatterjee, and Ravi Banavar. "A frequency-constrained geometric Pontryagin maximum principle on matrix Lie groups." In 2018 IEEE Conference on Decision and Control (CDC). IEEE, 2018. http://dx.doi.org/10.1109/cdc.2018.8618711.
Full textPatsko, Valerii Semenovich, and Andrei Anatol'evich Fedotov. "Using the Pontryagin maximum principle in constructing reachable sets for Dubins car." In International Conference "Optimal Control and Differential Games" dedicated to the 110th anniversary of L. S. Pontryagin. Moscow: Steklov Mathematical Institute, 2018. http://dx.doi.org/10.4213/proc23025.
Full textDehaghani, Nahid Binandeh, and A. Pedro Aguiar. "Quantum State Transfer Optimization: Balancing Fidelity and Energy Consumption using Pontryagin Maximum Principle." In 2023 IEEE 11th International Conference on Systems and Control (ICSC). IEEE, 2023. http://dx.doi.org/10.1109/icsc58660.2023.10449792.
Full textPechen, Alexander Nikolaevich. "Pontryagin's maximum principle for control of open quantum systems." In International Conference "Optimal Control and Differential Games" dedicated to the 110th anniversary of L. S. Pontryagin. Moscow: Steklov Mathematical Institute, 2018. http://dx.doi.org/10.4213/proc23027.
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