Relevant bibliographies by topics / Stabilization of PDEs

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

Academic literature on the topic 'Stabilization of PDEs'

Author: Grafiati
Published: 14 September 2024
Last updated: 31 July 2025

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Journal articles on the topic "Stabilization of PDEs"

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Mokra, Daniela, and Juraj Mokry. "Phosphodiesterase Inhibitors in Acute Lung Injury: What Are the Perspectives?" International Journal of Molecular Sciences 22, no. 4 (2021): 1929. http://dx.doi.org/10.3390/ijms22041929.

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Despite progress in understanding the pathophysiology of acute lung damage, currently approved treatment possibilities are limited to lung-protective ventilation, prone positioning, and supportive interventions. Various pharmacological approaches have also been tested, with neuromuscular blockers and corticosteroids considered as the most promising. However, inhibitors of phosphodiesterases (PDEs) also exert a broad spectrum of favorable effects potentially beneficial in acute lung damage. This article reviews pharmacological action and therapeutical potential of nonselective and selective PDE
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Bernard, Pauline, and Miroslav Krstic. "Adaptive output-feedback stabilization of non-local hyperbolic PDEs." Automatica 50, no. 10 (2014): 2692–99. http://dx.doi.org/10.1016/j.automatica.2014.09.001.

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Li, Jian, and Yungang Liu. "Adaptive stabilization for ODE systems coupled with parabolic PDES." Journal of Systems Science and Complexity 29, no. 4 (2016): 959–77. http://dx.doi.org/10.1007/s11424-016-5094-4.

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Bernard, Pauline, and Miroslav Krstic. "Adaptive Output-Feedback Stabilization of Non-Local Hyperbolic PDEs." IFAC Proceedings Volumes 47, no. 3 (2014): 7755–60. http://dx.doi.org/10.3182/20140824-6-za-1003.00108.

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Lhachemi, Hugo, and Christophe Prieur. "Global Output Feedback Stabilization of Semilinear Reaction-Diffusion PDEs." IFAC-PapersOnLine 55, no. 26 (2022): 53–58. http://dx.doi.org/10.1016/j.ifacol.2022.10.376.

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Krstic, Miroslav. "Systematization of approaches to adaptive boundary stabilization of PDEs." International Journal of Robust and Nonlinear Control 16, no. 16 (2006): 801–18. http://dx.doi.org/10.1002/rnc.1098.

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Yıldız, Hüseyin Alpaslan, and Leyla Gören-Sümer. "Stabilization of a class of underactuated Euler Lagrange system using an approximate model." Transactions of the Institute of Measurement and Control 44, no. 8 (2021): 1569–78. http://dx.doi.org/10.1177/01423312211058556.

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The energy shaping method, Controlled Lagrangian, is a well-known approach to stabilize the underactuated Euler Lagrange (EL) systems. In this approach, to construct a control rule, some nonlinear and nonhomogeneous partial differential equations (PDEs), which are called matching conditions, must be solved. In this paper, a method is proposed to obtain an approximate solution of these matching conditions for a class of underactuated EL systems. To develop this method, the potential energy matching condition is transformed to a set of linear PDEs using an approximation of inertia matrices. Henc
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Auriol, Jean, and Florent Di Meglio. "Two-Sided Boundary Stabilization of Heterodirectional Linear Coupled Hyperbolic PDEs." IEEE Transactions on Automatic Control 63, no. 8 (2018): 2421–36. http://dx.doi.org/10.1109/tac.2017.2763320.

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Elharfi, Abdelhadi. "Exponential stabilization of a class of 1-D hyperbolic PDEs." Journal of Evolution Equations 16, no. 3 (2016): 665–79. http://dx.doi.org/10.1007/s00028-015-0317-z.

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Fornberg, Bengt, and Erik Lehto. "Stabilization of RBF-generated finite difference methods for convective PDEs." Journal of Computational Physics 230, no. 6 (2011): 2270–85. http://dx.doi.org/10.1016/j.jcp.2010.12.014.

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Dissertations / Theses on the topic "Stabilization of PDEs"

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Mirrahimi, Mazyar. "Estimation et contrôle non-linéaire : application à quelques systèmes quantiques et classiques." Habilitation à diriger des recherches, Université Pierre et Marie Curie - Paris VI, 2011. http://tel.archives-ouvertes.fr/tel-00844394.

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Ce manuscrit se décompose en deux parties principales, associées à deux types d'applications assez différentes. Dans la première partie qui comprend les deux premiers chapitres, je m'intéresse à des systèmes issus de problèmes de contrôle et d'estimation en physique quantique; dans la deuxième partie (troisième chapitre du manuscrit), j'étudie la propagation d'ondes électriques le long des fils classiques dans un réseau de lignes de transmission et je considère certains problèmes d'estimation de paramètres. Dans le premier chapitre nous étudions le problème de la planification de trajectoires
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Prouff, Antoine. "Correspondance classique-quantique et application au contrôle d'équations d'ondes et de Schrödinger dans l'espace euclidien." Electronic Thesis or Diss., université Paris-Saclay, 2024. https://theses.hal.science/tel-04634673.

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Les équations des ondes et de Schrödinger modélisent une grande variété de phénomènes ondulatoires, tels que la propagation de la lumière, les vibrations d'un objet ou l'évolution temporelle d'une particule quantique. Dans ces modèles, l'asymptotique des hautes énergies peut être décrite par des équations de la mécanique classique, comme l'optique géométrique. Dans cette thèse, nous étudions plusieurs applications de la correspondance classique-quantique à des problèmes de contrôle des équations des ondes et de Schrödinger dans l'espace euclidien, en utilisant des méthodes d'analyse microlocal
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Trad, Farah. "Stability of some hyperbolic systems with different types of controls under weak geometric conditions." Electronic Thesis or Diss., Valenciennes, Université Polytechnique Hauts-de-France, 2024. http://www.theses.fr/2024UPHF0015.

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Le but de cette thèse est d'étudier la stabilisation de certaines équations d'évolution du second ordre. Tout d’abord, nous nous concentrons sur l’étude de la stabilisation d’équations d’évolution du second ordre de type hyperbolique localement faiblement couplées, caractérisées par un amortissement direct dans une seule des deux équations. Comme de tels systèmes ne sont pas exponentiellement stables, nous souhaitons déterminer les taux de décroissance de l’énergie polynomiale. Nos principales contributions concernent les propriétés abstraites de stabilité forte et polynomiale, qui sont dérivé
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Vest, Ambroise. "Stabilisation rapide et observation en plusieurs instants de systèmes oscillants." Phd thesis, Université de Strasbourg, 2013. http://tel.archives-ouvertes.fr/tel-00864407.

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Ce travail est constitué de deux parties indépendantes traitant chacune d'un problème issu de la théorie du contrôle des équations aux dérivées partielles. La première partie est consacrée à l'étude d'un feedback explicite et déjà connu, s'appliquant à des systèmes linéaires, réversibles en temps et éventuellement munis d'un opérateur de contrôle non-borné. On justifie le caractère bien posé du problème en boucle fermée via la théorie des semi-groupes puis on étudie le taux de décroissance des solutions du système régulé. La seconde partie concerne un problème d'observation pour la corde vibra
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Zhu, Hui. "Contrôle, stabilisation et propagation des singularités pour des EDP dispersives." Thesis, Université Paris-Saclay (ComUE), 2019. http://www.theses.fr/2019SACLS057/document.

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Dans cette thèse, nous étudions les théories étroitement liées du contrôle, de la stabilisation et de la propagation des singularités, pour des équations aux dérivées partielles dispersives linéaires et non-linéaires. Les résultats principaux proviennent des travaux de l’auteur:[1] Zhu, H., 2016. Stabilization of damped waves on spheres and Zoll surfaces of revolution. ESAIM : Control, Optimisation and Calculus of Variations (ESAIM: COCV), à paraître.[2] Zhu, H., 2017. Control of three dimensional water waves. arXiv preprint arXiv:1712.06130.[3] Zhu, H., 2018. Propagation of singularities for
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Mohamad, Ali Zeinab. "Well-posedness and stabilization of coupled hyperbolic equations involving Timoshenko, Rao-Nakra and Bresse systems by various types of controls." Electronic Thesis or Diss., Université de Lorraine, 2023. http://www.theses.fr/2023LORR0324.

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Cette thèse est consacrée à l'étude de l'existence, l'unicité et la régularité des solutions, et la stabilisation de certains systèmes localement couplés. Tout d'abord, nous étudions l'existence, l'unicité et la régularité des solutions et la stabilité d'un système de Timoshenko unidimensionnel avec un amortissement fractionnaire interne localisé de Kelvin-Voigt dans un domaine borné. Nous étudions trois cas : le premier, lorsque l'amortissement est localisé dans le moment de flexion, le deuxième lorsque l'amortissement est localisé dans la contrainte de cisaillement, nous prouvons que le syst
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Klein, Guillaume. "Stabilisation et asymptotique spectrale de l’équation des ondes amorties vectorielle." Thesis, Strasbourg, 2018. http://www.theses.fr/2018STRAD050/document.

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Dans cette thèse nous considérons l’équation des ondes amorties vectorielle sur une variété riemannienne compacte, lisse et sans bord. L’amortisseur est ici une fonction lisse allant de la variété dans l’espace des matrices hermitiennes de taille n. Les solutions de cette équation sont donc à valeurs vectorielles. Nous commençons dans un premier temps par calculer le meilleur taux de décroissance exponentiel de l’énergie en fonction du terme d’amortissement. Ceci nous permet d’obtenir une condition nécessaire et suffisante la stabilisation forte de l’équation des ondes amorties vectorielle. No
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SONG, EN-SHOU, and 宋恩碩. "Polynomial Fuzzy PDE Model Based Pointwise Stabilization for Semilinear Parabolic Distributed Parameter System." Thesis, 2019. http://ndltd.ncl.edu.tw/handle/55au3z.

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碩士<br>國立臺北科技大學<br>自動化科技研究所<br>107<br>In this thesis, the problems of pointwise control design and exponential stabilization for the semilinear parabolic distributed parameter systems are investigated. Firstly, a distributed parameter system which is expressed by the nonlinear parabolic partial differential equation (PDE) system is modeled as a polynomial fuzzy parabolic PDE system by Taylor’s series identification approach. For controller design, three kinds of fuzzy controllers are designed for the polynomial fuzzy parabolic PDE system including full state feedback, pointwise state feedback,
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Books on the topic "Stabilization of PDEs"

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Rajeev, S. G. Fluid Mechanics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805021.001.0001.

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Starting with a review of vector fields and their integral curves, the book presents the basic equations of the subject: Euler and Navier–Stokes. Some solutions are studied next: ideal flows using conformal transformations, viscous flows such as Couette and Stokes flow around a sphere, shocks in the Burgers equation. Prandtl’s boundary layer theory and the Blasius solution are presented. Rayleigh–Taylor instability is studied in analogy with the inverted pendulum, with a digression on Kapitza’s stabilization. The possibility of transients in a linearly stable system with a non-normal operator
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Book chapters on the topic "Stabilization of PDEs"

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Trélat, Emmanuel. "Stabilization." In SpringerBriefs on PDEs and Data Science. Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-97-5948-4_3.

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Guo, Bao-Zhu, and Jun-Min Wang. "Stabilization of Coupled Systems Through Boundary Connection." In Control of Wave and Beam PDEs. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-12481-6_6.

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Smyshlyaev, Andrey, and Miroslav Krstic. "Explicit Formulae for Boundary Control of Parabolic PDEs." In Optimal Control, Stabilization and Nonsmooth Analysis. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-540-39983-4_15.

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Łoś, Marcin, Robert Schaefer, and Maciej Smołka. "Effective Solution of Ill-Posed Inverse Problems with Stabilized Forward Solver." In Computational Science – ICCS 2021. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-77964-1_27.

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AbstractWe consider inverse parametric problems for elliptic variational PDEs. They are solved through the minimization of misfit functionals. Main difficulties encountered consist in the misfit multimodality and insensitivity as well as in the weak conditioning of the direct (forward) problem, that therefore requires stabilization. A complex multi-population memetic strategy hp-HMS combined with the Petrov-Galerkin method stabilized by the Demkowicz operator is proposed to overcome obstacles mentioned above. This paper delivers the theoretical motivation for the common inverse/forward error s
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Karafyllis, Iasson, and Miroslav Krstic. "An ODE Observer for Lyapunov-Based Global Stabilization of a Bioreactor Nonlinear PDE." In Feedback Stabilization of Controlled Dynamical Systems. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-51298-3_4.

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Rigatos, Gerasimos G. "Stabilization of Commodities Pricing PDE Using Differential Flatness Theory." In State-Space Approaches for Modelling and Control in Financial Engineering. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-52866-3_14.

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Rigatos, Gerasimos G. "Stabilization of the Multi-asset Black–Scholes PDE Using Differential Flatness Theory." In State-Space Approaches for Modelling and Control in Financial Engineering. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-52866-3_13.

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Rigatos, Gerasimos G. "Stabilization of Financial Systems Dynamics Through Feedback Control of the Black-Scholes PDE." In State-Space Approaches for Modelling and Control in Financial Engineering. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-52866-3_12.

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Zhou, Qian, Xiao-Wei Zhang, and Jin-Liang Wang. "Stabilization Design of Spatial 2-D Linear Parabolic PDE Systems with a Collocated Mobile Actuator/Sensor Pair." In Lecture Notes in Computer Science. Springer Nature Singapore, 2025. https://doi.org/10.1007/978-981-96-0798-3_29.

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Lhachemi, Hugo, and Christophe Prieur. "Output Feedback Stabilization of a Reaction-Diffusion PDE in the Presence of Saturations of the Input and Its Time Derivatives." In Advances in Distributed Parameter Systems. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-94766-8_3.

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Conference papers on the topic "Stabilization of PDEs"

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Zhang, Yihuai, Jean Auriol, and Huan Yu. "Robust Boundary Stabilization of Stochastic Hyperbolic PDEs." In 2024 American Control Conference (ACC). IEEE, 2024. http://dx.doi.org/10.23919/acc60939.2024.10644228.

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Cao, Yuandong, Chi Chiu So, Junmin Wang, and Siu Pang Yung. "System Stabilization of PDEs using Physics-Informed Neural Networks (PINNs)." In 2024 43rd Chinese Control Conference (CCC). IEEE, 2024. http://dx.doi.org/10.23919/ccc63176.2024.10662626.

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Sun, Jiake, and Junmin Wang. "Boundary stabilization of coupled time fractional parabolic PDEs subject to disturbances." In 2024 43rd Chinese Control Conference (CCC). IEEE, 2024. http://dx.doi.org/10.23919/ccc63176.2024.10662700.

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Humaloja, Jukka-Pekka, and Nikolaos Bekiaris-Liberis. "On Stabilization of Large-Scale Systems of Linear Hyperbolic PDEs via Continuum Approximation of Exact Backstepping Kernels*." In 2024 IEEE 63rd Conference on Decision and Control (CDC). IEEE, 2024. https://doi.org/10.1109/cdc56724.2024.10886578.

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Kang, Wen, Emilia Fridman, Jing Zhang, and Chuan-Xin Liu. "Event-Triggered Stabilization of Parabolic PDEs by Switching." In 2023 62nd IEEE Conference on Decision and Control (CDC). IEEE, 2023. http://dx.doi.org/10.1109/cdc49753.2023.10383781.

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Krstic, Miroslav. "Systematization of Approaches to Adaptive Boundary Stabilization of PDEs." In Proceedings of the 45th IEEE Conference on Decision and Control. IEEE, 2006. http://dx.doi.org/10.1109/cdc.2006.377363.

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Vatankhah, Ramin, Mohammad Abediny, Hoda Sadeghian, and Aria Alasty. "Backstepping Boundary Control for Unstable Second-Order Hyperbolic PDEs and Trajectory Tracking." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-87038.

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In this paper, a problem of boundary feedback stabilization of second order hyperbolic partial differential equations (PDEs) is considered. These equations serve as a model for physical phenomena such as oscillatory systems like strings and beams. The controllers are designed using a backstepping method, which has been recently developed for parabolic PDEs. With the integral transformation and boundary feedback the unstable PDE is converted into a system which is stable in sense of Lyapunov. Then taylorian expansion is used to achieve the goal of trajectory tracking. It means design a boundary
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Diagne, Ababacar, Shuxia Tang, Mamadou Diagne, and Miroslav Krstic. "Output Feedback Stabilization of the Linearized Bilayer Saint-Venant Model." In ASME 2016 Dynamic Systems and Control Conference. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/dscc2016-9733.

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We consider the problem of output feedback exponentially stabilizing the 1-D bilayer Saint-Venant model, which is a coupled system of two rightward and two leftward convecting transport partial differential equations (PDEs). The PDE backstepping control method is employed. Our designed output feedback controller is based on the observer built in this paper and the state feedback controller designed in [1], where the backstepping control design idea can also be referred to [2] and can be treated as a generalization of the result for the system with constant system coefficients [2] to the one wi
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Anfinsen, Henrik, and Ole Morten Aamo. "Adaptive state feedback stabilization of n + 1 coupled linear hyperbolic PDEs." In 2017 25th Mediterranean Conference on Control and Automation (MED). IEEE, 2017. http://dx.doi.org/10.1109/med.2017.7984234.

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Lhachemi, Hugo, and Christophe Prieur. "Output feedback stabilization of Reaction-Diffusion PDEs with distributed input delay." In 2022 European Control Conference (ECC). IEEE, 2022. http://dx.doi.org/10.23919/ecc55457.2022.9837995.

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