Numerical Methods for Optimal Control Problems with State Constraints
While optimality conditions for optimal control problems with state constraints have been extensively investigated in the literature the results pertaining to numerical methods are relatively scarce. This book fills the gap by providing a family of new methods. Among others, a novel convergence anal...
محفوظ في:
| المؤلف الرئيسي: | |
|---|---|
| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| سلاسل: | Lecture notes in mathematics
1707 |
| الموضوعات: | |
| الوصول للمادة أونلاين: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| ملاحظة: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Numerical methods for optimal control problems with state constraints, Radosław Pytlak, 1999, Berlin, Springer, 1 vol. (XII-215 p.), Lecture notes in mathematics, 3-540-66214-6 • Numerical Methods for Optimal Control Problems with State Constraints, Texte imprimé, 9783662163924 |
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| 008 | 110927q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN155200186 | ||
| 020 | |a 9783540486626 (PDF) | ||
| 041 | 0 | |a eng | |
| 082 | |a 510 | ||
| 100 | 1 | |a Pytlak, Radosław, |d 1956- | |
| 245 | 1 | 0 | |a Numerical Methods for Optimal Control Problems with State Constraints |c Radosław Pytlak. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1707 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Estimates on solutions to differential equations and their approximations -- First order method -- Implementation -- Second order method -- Runge-Kutta based procedure for optimal control of differential Algebraic Equations. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a While optimality conditions for optimal control problems with state constraints have been extensively investigated in the literature the results pertaining to numerical methods are relatively scarce. This book fills the gap by providing a family of new methods. Among others, a novel convergence analysis of optimal control algorithms is introduced. The analysis refers to the topology of relaxed controls only to a limited degree and makes little use of Lagrange multipliers corresponding to state constraints. This approach enables the author to provide global convergence analysis of first order and superlinearly convergent second order methods. Further, the implementation aspects of the methods developed in the book are presented and discussed. The results concerning ordinary differential equations are then extended to control problems described by differential-algebraic equations in a comprehensive way for the first time in the literature. | ||
| 650 | |a Théorie de la commande | ||
| 650 | |a Optimisation mathématique | ||
| 650 | |a Analyse numérique | ||
| 650 | |a Mathématiques | ||
| 650 | |a Calcul des variations | ||
| 650 | |a Économie politique | ||
| 776 | 0 | |0 078891493 |t Numerical methods for optimal control problems with state constraints |f Radosław Pytlak |d 1999 |c Berlin |n Springer |p 1 vol. (XII-215 p.) |s Lecture notes in mathematics |z 3-540-66214-6 | |
| 776 | 0 | |t Numerical Methods for Optimal Control Problems with State Constraints |b Texte imprimé |z 9783662163924 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0097244 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-KGJZ9SBV-X |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750657189 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0097244 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:754007006 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0097244 |z Accès INSA CVL | |
| 997 | |0 971013 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||