Relevant bibliographies by topics / Pontryagin's Maximum Principle

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Pontryagin's Maximum Principle'

Author: Grafiati
Published: 4 June 2021
Last updated: 25 July 2025

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Journal articles on the topic "Pontryagin's Maximum Principle"

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Roth, Oliver. "Pontryagin's maximum principle in geometric function theory." Complex Variables, Theory and Application: An International Journal 41, no. 4 (2000): 391–426. http://dx.doi.org/10.1080/17476930008815264.

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McGregor, Craig, David Glasser, and Diane Hildebrandt. "The Attainable Region and Pontryagin's Maximum Principle." Industrial & Engineering Chemistry Research 38, no. 3 (1999): 652–59. http://dx.doi.org/10.1021/ie980380l.

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Arutyunov, A. V. "Pontryagin's maximum principle in optimal control theory." Journal of Mathematical Sciences 94, no. 3 (1999): 1311–65. http://dx.doi.org/10.1007/bf02365017.

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Lee, Mi Jin, and Jong Yeoul Park. "Pontryagin's maximum principle for optimal control of a non-well-posed parabolic differential equation involving a state constraint." ANZIAM Journal 46, no. 2 (2004): 171–84. http://dx.doi.org/10.1017/s1446181100013778.

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AbstractIn this paper, we study Pontryagin's maximum principle for some optimal control problems governed by a non-well-posed parabolic differential equation. A new penalty functional is applied to derive Pontryagin's maximum principle and an application for this system is given.
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Nainggolan, J., F. J. Iswar, and Abraham Abraham. "KONTROL OPTIMAL PADA PEYEBARAN TUBERKULOSIS DENGAN EXOGENOUS REINFECTION." JURNAL ILMIAH MATEMATIKA DAN TERAPAN 16, no. 1 (2019): 42–50. http://dx.doi.org/10.22487/2540766x.2019.v16.i1.12762.

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Tuberculosis is a disease caused by Mycobacterium tuberculosis. Tuberculosis can be controlled through treatment, chemoprophylaxis and vaccination. Optimal control of treatment in the exposed compartment can be done in an effort to reduce the number of exposed compartments individual into the active compartment of tuberculosis. Optimal control can be completed by the Pontryagin Maximum Principle Method. Based on numerical simulation results, optimal control of treatment in the exposed compartment can reduce the number of infected compartments individual with active TB.Keywords : Exogenous Rein
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KHAKESTARI, MARZIEH, GAFURJAN IBRAGIMOV, and MOHAMED SULEIMAN. "OPTIMAL CONTROL USING PONTRYAGIN'S MAXIMUM PRINCIPLE IN A LINEAR QUADRATIC DIFFERENTIAL GAME." International Journal of Modern Physics: Conference Series 09 (January 2012): 543–51. http://dx.doi.org/10.1142/s2010194512005648.

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This paper deals with a class of two person zero-sum linear quadratic differential games, where the control functions for both players subject to integral constraints. Also the necessary conditions of the Maximum Principle are studied. Main objective in this work is to obtain optimal control by using method of Pontryagin's Maximum Principle. This method for a time-varying linear quadratic differential game is described. Finally, we discuss about an example.
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Yong, Jiongmin, and Pingjian Zhang. "Necessary conditions of optimal impulse controls for distributed parameter systems." Bulletin of the Australian Mathematical Society 45, no. 2 (1992): 305–26. http://dx.doi.org/10.1017/s0004972700030173.

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Optimal control problem of semilinear evolutionary distributed parameter systems with impulse controls is considered. Necessary conditions of optimal controls are derived. The result generalises the usual Pontryagin's maximum principle.
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Milton, G. W. "On Optimizing the Properties of Hierarchical Laminates Using Pontryagin's Maximum Principle." Multiscale Modeling & Simulation 3, no. 3 (2005): 658–79. http://dx.doi.org/10.1137/030602368.

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Wang, Gengsheng. "Pontryagin's maximum principle for optimal control of the stationary Navier–Stokes equations." Nonlinear Analysis: Theory, Methods & Applications 52, no. 8 (2003): 1853–66. http://dx.doi.org/10.1016/s0362-546x(02)00161-x.

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Ozatay, Engin, Umit Ozguner, and Dimitar Filev. "Velocity profile optimization of on road vehicles: Pontryagin's Maximum Principle based approach." Control Engineering Practice 61 (April 2017): 244–54. http://dx.doi.org/10.1016/j.conengprac.2016.09.006.

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Dissertations / Theses on the topic "Pontryagin's Maximum Principle"

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Felixová, Lucie. "Matematické metody teorie optimálního řízení a jejich užití." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2011. http://www.nusl.cz/ntk/nusl-229886.

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Tato diplomová práce se zabývá problematikou spojitého optimálního řízení, což je jedna z nejvýznamnějších aplikací teorie diferenciálních rovnic. Cílem této práce bylo jak nastudování matematické teorie optimálního řízení, tak především ukázat užití Pontrjaginova principu maxima a Bellmanova principu optimality při řešení vybraných úloh optimálního řízení. Důraz byl kladen především na problematiku časově a energeticky optimálního řízení elektrického vlaku, při zahrnutí kvadratické odporové funkce.
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Berkessa, Zewude Alemayehu. "Problém energeticky optimální jízdy vlaku." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2019. http://www.nusl.cz/ntk/nusl-401555.

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The Diploma thesis deals with the problem of energy-efficient train control. It presents the basic survey of mathematical models used in the problem of energy-efficient train control, analysis of optimal driving regimes, determining optimal switching times between optimal driving regimes and timetabling of the train. The mathematical formulation of the problem is done using Newton's second law of motion and other known physical laws. To analyse optimal driving regimes and determine the switching times between optimal driving regimes, we apply tools of optimal control theory, particularly Pontr
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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.

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Le guidage d'un lanceur réutilisable est un problème de contrôle qui nécessite à la fois précision et robustesse : il faut calculer une trajectoire et un contrôle, de sorte que le lanceur atteigne la piste d'atterrissage, sans s'écraser ni exploser en vol, le tout en utilisant le moins de carburant possible.Les méthodes de Contrôle Optimal issu du Principe de Pontryagin calculent une trajectoire optimale avec grande précision, mais les incertitudes, soit les erreurs entre les estimations de l'état initial et des paramètres et leurs valeurs réelles, causent une déviation potentiellement dangere
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Nayet, Aymeric. "Improvement of a trajectory optimization software for future Ariane missions." Electronic Thesis or Diss., Sorbonne université, 2022. http://www.theses.fr/2022SORUS591.

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Ce travail de thèse porte sur l’amélioration d’un logiciel interne à l’entreprise ArianeGroup dédié à l’optimisation des trajectoires des lanceurs. La version originale est capable de trouver une trajectoire à consommation minimale pour un étage supérieur d’un lanceur tri-étages depuis une position extérieure à l’atmosphère en un ou deux boosts par une méthode entièrement automatique. L’objectif est d’utiliser ce travail existant pour créer une méthode capable de trouver une trajectoire à consommation minimale pour un étage supérieur d’un lanceur en configuration bi-étages. Dans ce cas de figu
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Ghasemi, Dehkordi Sepehr. "Towards an optimal model for green and safe driving." Thesis, Queensland University of Technology, 2019. https://eprints.qut.edu.au/131162/1/Sepehr_Ghasemi%20Dehkordi_Thesis.pdf.

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Driver behaviour, route choice, road geometry and vehicle characteristics all influence vehicle consumption, gas emission and safety. This thesis designed an optimum driving model that considers the simultaneous needs of an environmentally friendly and safe (eco-safe) driving behaviour. This research was grounded on optimisation techniques in control theory as well as graph theory to obtain the optimal route and speed profile to assist drivers in eco-safe driving. The joint consideration of optimal benefits in terms of road safety and energy consumption was the key innovation of this dissertat
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Daulton, Donna Lynn. "Using Optimal Control Theory to Optimize the Use of Oxygen Therapy in Chronic Wound Healing." TopSCHOLAR®, 2013. http://digitalcommons.wku.edu/theses/1232.

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Approximately 2 to 3 million people in the United States suffer from chronic wounds, which are defined as wounds that do not heal in 30 days time; an estimated $25 billion per year is spent on their treatment in the United States. In our work, we focused on treating chronic wounds with bacterial infections using hyperbaric and topical oxygen therapies. We used a mathematical model describing the interaction between bacteria, neutrophils and oxygen. Optimal control theory was then employed to study oxygen treatment strategies with the mathematical model. Existence of a solution was shown for bo
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Lagache, Marc-Aurèle. "Analyse de problèmes inverses et directs en théorie du contrôle." Thesis, Toulon, 2017. http://www.theses.fr/2017TOUL0008/document.

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Le contexte général de cette thèse est l’étude de problèmes inverses et directs en théorie du contrôle. Plus précisément, les trois problèmes étudiés sont les suivants.Le premier est un problème de contrôle optimal (approche directe). Il s’agit de fournir la synthèse temps minimum du modèle cinématique d'un drone volant à altitude constante, de vitesse linéaire non nécessairement constante voulant rejoindre une trajectoire circulaire de rayon de courbure minimum.Le deuxième problème concerne une approche inverse du contrôle optimal. Il s’agit d’élaborer des méthodes théoriques de reconstructio
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Ašković, Veljko. "Aerial vehicle guidance problem through the Pontryagin Maximum Principle and Hamilton Jacobi Bellman approach." Electronic Thesis or Diss., Sorbonne université, 2023. http://www.theses.fr/2023SORUS553.

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La thèse comporte deux volets principaux: Le premier volet, d'ordre théorique, porte sur le développement asymptotique de la fonction valeur associée à un problème de contrôle optimal lorsque l'horizon tend vers l'infini. Un développement asymptotique à deux termes a été démontré d'abord dans le cas linéaire quadratique puis ensuite a été étendu au cas non linéaire dans la classe de systèmes dissipatifs. La seconde partie de la thèse porte sur la résolution numérique d'un problème de guidage de véhicules aériens. Après avoir modélisé le problème, nous mettons en œuvre trois méthodes afin de ré
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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.

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Cette thèse est une contribution au calcul des variations et à la théorie du contrôle optimal dans les cadres discret, plus généralement time scale, et fractionnaire. Ces deux domaines ont récemment connu un développement considérable dû pour l’un à son application en informatique et pour l’autre à son essor dans des problèmes physiques de diffusion anormale. Que ce soit dans le cadre time scale ou dans le cadre fractionnaire, nos objectifs sont de : a) développer un calcul des variations et étendre quelques résultats classiques (voir plus bas); b) établir un principe du maximum de Pontryagin
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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.

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The PhD presents a combined approach to improving individual car efficiency. An optimal observer, the Extended Kalman Filter, is used to create an efficiency model for the car. Particular attention was paid to handling the asynchronous and redundant nature of the measurement data. A low-cost sensor suite developed to measure data is described. This sensor suite was installed on multiple vehicles to good success. It employsan accelerometer, gps, fuel injector timer, and Vss input to measure all the data necessary to reconstruct the car's state. This observer and sensor suite can be used as the
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Books on the topic "Pontryagin's Maximum Principle"

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V, Kryazhimskii A., ed. The Pontryagin maximum principle and optimal economic growth problems. MAIK Nauka/Interperiodica, 2007.

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Aseev, S. M. The Pontryagin maximum principle and optimal economic growth problems. MAIK Nauka/Interperiodica, 2007.

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Filatyev, Alexander S., and Vyacheslav G. Petukhov. Through Optimization of Aerospace Vehicle Trajectories by the Pontryagin Maximum Principle. Springer Nature Switzerland, 2025. https://doi.org/10.1007/978-3-031-80756-5.

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Lü, Qi, and Xu Zhang. General Pontryagin-Type Stochastic Maximum Principle and Backward Stochastic Evolution Equations in Infinite Dimensions. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-06632-5.

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Lobry, Claude, Jérôme Harmand, Alain Rapaport, and Tewfik Sari. Optimal Control in Bioprocesses: Pontryagin's Maximum Principle in Practice. Wiley & Sons, Incorporated, John, 2019.

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Lobry, Claude, Jérôme Harmand, Alain Rapaport, and Tewfik Sari. Optimal Control in Bioprocesses: Pontryagin's Maximum Principle in Practice. Wiley & Sons, Incorporated, John, 2019.

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Lobry, Claude, Jérôme Harmand, Alain Rapaport, and Tewfik Sari. Optimal Control in Bioprocesses: Pontryagin's Maximum Principle in Practice. Wiley & Sons, Incorporated, John, 2019.

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Lobry, Claude, Jérôme Harmand, Alain Rapaport, and Tewfik Sari. Optimal Control in Bioprocesses: Pontryagin's Maximum Principle in Practice. Wiley & Sons, Incorporated, John, 2019.

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Lobry, C., Jérôme Harmand, Alain Rapaport, and Tewfik Sari. Optimisation des Bioprocédés: Pratique du Principe du Maximum de Pontryagin. ISTE Editions Ltd., 2019.

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Zhang, Xu, and Qi Lü. General Pontryagin-Type Stochastic Maximum Principle and Backward Stochastic Evolution Equations in Infinite Dimensions. Springer London, Limited, 2014.

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Book chapters on the topic "Pontryagin's Maximum Principle"

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Munasinghe, Sudath Rohan. "Pontryagin’s Maximum Principle." In Engineering Optimization: Methods and Applications. Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-97-8167-6_8.

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Agrachev, Andrei A., and Yuri L. Sachkov. "Pontryagin Maximum Principle." In Control Theory from the Geometric Viewpoint. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-06404-7_12.

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Badescu, Viorel. "The Maximum Principle (Pontryagin)." In Optimal Control in Thermal Engineering. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-52968-4_5.

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Georgiev, Svetlin G. "The Pontryagin Maximum Principle." In Fuzzy Dynamic Equations, Dynamic Inclusions, and Optimal Control Problems on Time Scales. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-76132-5_12.

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Grammel, Goetz. "Pontryagin’s Maximum Principle via Singular Perturbations." In Control and Estimation of Distributed Parameter Systems. Birkhäuser Basel, 2003. http://dx.doi.org/10.1007/978-3-0348-8001-5_12.

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Vinter, Richard B. "Optimal Control and Pontryagin’s Maximum Principle." In Encyclopedia of Systems and Control. Springer London, 2015. http://dx.doi.org/10.1007/978-1-4471-5058-9_200.

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Vinter, Richard B. "Optimal Control and Pontryagin’s Maximum Principle." In Encyclopedia of Systems and Control. Springer London, 2013. http://dx.doi.org/10.1007/978-1-4471-5102-9_200-1.

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Vinter, Richard. "Optimal Control and Pontryagin’s Maximum Principle." In Encyclopedia of Systems and Control. Springer London, 2020. http://dx.doi.org/10.1007/978-1-4471-5102-9_200-2.

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Vinter, Richard. "Optimal Control and Pontryagin’s Maximum Principle." In Encyclopedia of Systems and Control. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-44184-5_200.

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Arutyunov, Aram V. "Optimal Control Problem. Pontryagin maximum Principle." In Optimality Conditions: Abnormal and Degenerate Problems. Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-015-9438-7_2.

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Conference papers on the topic "Pontryagin's Maximum Principle"

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Hanson, Joshua, and Dennis Lucarelli. "Constructing Noise-Robust Quantum Gates via Pontryagin's Maximum Principle." In 2024 IEEE International Conference on Quantum Computing and Engineering (QCE). IEEE, 2024. https://doi.org/10.1109/qce60285.2024.00165.

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Kozyr, Andrey, Sergey Feofilov, and Dmitry Khapkin. "Synthesis of Neural Network Program Control Based on Pontryagin's Maximum Principle." In 2024 8th International Conference on Information, Control, and Communication Technologies (ICCT). IEEE, 2024. https://doi.org/10.1109/icct62929.2024.10874949.

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Ghanem, Fred, Purnima M. Kodate, Gerard M. Capellades, and Kirti M. Yenkie. "Optimal Design of Antibody Extraction Systems using Protein A Resin with Multicycling." In Foundations of Computer-Aided Process Design. PSE Press, 2024. http://dx.doi.org/10.69997/sct.170492.

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Antibody therapies are important in treating life-threatening ailments such as cancer and autoimmune diseases. Purity of the antibody is essential for successful applications and Protein A selective resin extraction is the standard step for antibody recovery. Unfortunately, such resins can cost up to 30% of the total cost of antibody production. Hence, the optimal design of this purification step becomes a critical factor in downstream processing to minimize the size of the column needed. An accurate predictive model, as a digital twin representing the purification process, is necessary where
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Kiselev, Yurii Nikolaevich, Mikhail Vladimirovich Orlov, and Sergey Mikhailovich Orlov. "Solution of Fuller's problem based on Pontryagin's maximum principle." In International conference "Systems Analysis: Modeling and Control" in memory of Academician A. V. Kryazhimskiy. Steklov Mathematical Institute, 2018. http://dx.doi.org/10.4213/proc20591.

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Pechen, 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. Steklov Mathematical Institute, 2018. http://dx.doi.org/10.4213/proc23027.

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Bao, Kai, Shaofeng Lu, Fei Xue, and Zhaoxiang Tan. "Optimization for train speed trajectory based on Pontryagin's Maximum Principle." In 2017 IEEE 20th International Conference on Intelligent Transportation Systems (ITSC). IEEE, 2017. http://dx.doi.org/10.1109/itsc.2017.8317820.

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A-Saif, Abdul-Wahid, Ali Al-Ameer, Mujahed Aldhaifallah, Hegazy Rezk, and Ahmed Ali A. Mohamed. "Switching Function Analysis of DC-DC Converters under Pontryagin's Maximum Principle." In 2022 19th International Multi-Conference on Systems, Signals & Devices (SSD). IEEE, 2022. http://dx.doi.org/10.1109/ssd54932.2022.9955685.

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Hai, Nguyen Thanh. "Evaluation of effect Pontryagin's Maximum Principle for optimal control train by criteria of energy save." In 2010 International Symposium on Computer, Communication, Control and Automation (3CA). IEEE, 2010. http://dx.doi.org/10.1109/3ca.2010.5533807.

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Revko, Anatoliy S., and Roman D. Yershov. "Control Rapidity Optimization Technique of DC-Motor Driven by Quasi-Resonant Converter Using Pontryagin's Maximum Principle." In 2018 IEEE 38th International Conference on Electronics and Nanotechnology (ELNANO). IEEE, 2018. http://dx.doi.org/10.1109/elnano.2018.8477491.

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Sokolov, Boris, Andrey Gnidenko, and Anatoly Shalyto. "Models and algorithms of operational planning and control of dynamical objects with application of the Pontryagin's Maximum principle." In 2017 5th IEEE Workshop on Advances in Information, Electronic and Electrical Engineering (AIEEE). IEEE, 2017. http://dx.doi.org/10.1109/aieee.2017.8270541.

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