Optimal Periodic Control
This research monograph deals with optimal periodic control problems for systems governed by ordinary and functional differential equations of retarded type. Particular attention is given to the problem of local properness, i.e. whether system performance can be improved by introducing periodic moti...
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| Hlavní autor: | |
|---|---|
| Médium: | Livre numérique |
| Jazyk: | Anglais |
| Vydáno: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Edice: | Lecture notes in mathematics
1313 |
| Témata: | |
| On-line přístup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
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| Edition sous un autre format: | • Optimal periodic control, Fritz Colonius, 1988, Berlin, Springer, 1 volume (VI-177 pages), Lecture notes in mathematics, 3-540-19249-2 • Optimal Periodic Control, Texte imprimé, 9783662207154 |
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| 009 | PPN155211072 | ||
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| 041 | 0 | |a eng | |
| 082 | |a 510 | ||
| 100 | 1 | |a Colonius, Fritz. | |
| 245 | 1 | 0 | |a Optimal Periodic Control |c Fritz Colonius. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1313 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Optimization theory -- Retarded functional differential equations -- Strong local minima -- Weak local minima -- Local relaxed minima -- Tests for local properness -- A scenario for local properness -- Optimal periodic control of ordinary differential 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 This research monograph deals with optimal periodic control problems for systems governed by ordinary and functional differential equations of retarded type. Particular attention is given to the problem of local properness, i.e. whether system performance can be improved by introducing periodic motions. Using either Ekeland's Variational Principle or optimization theory in Banach spaces, necessary optimality conditions are proved. In particular, complete proofs of second-order conditions are included and the result is used for various versions of the optimal periodic control problem. Furthermore a scenario for local properness (related to Hopf bifurcation) is drawn up, giving hints as to where to look for optimal periodic solutions. The book provides mathematically rigorous proofs for results which are potentially of importance in chemical engineering and aerospace engineering. | ||
| 650 | |a Optimisation mathématique | ||
| 650 | |a Théorie de la commande | ||
| 650 | |a Calcul des variations | ||
| 776 | 0 | |0 020773676 |t Optimal periodic control |f Fritz Colonius |d 1988 |c Berlin |n Springer |p 1 volume (VI-177 pages) |s Lecture notes in mathematics |z 3-540-19249-2 | |
| 776 | 0 | |t Optimal Periodic Control |b Texte imprimé |z 9783662207154 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0077931 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-CQLBVT7V-8 |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750649887 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0077931 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:754000397 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0077931 |z Accès INSA CVL | |
| 997 | |0 971683 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||