Liapunov functions and stability in control theory
This book presents a modern and self-contained treatment of the Liapunov method for stability analysis, in the framework of mathematical nonlinear control theory. A Particular focus is on the problem of the existence of Liapunov functions (converse Liapunov theorems) and their regularity, whose inte...
שמור ב:
| Auteurs principaux: | , |
|---|---|
| פורמט: | Livre numérique |
| שפה: | Anglais |
| יצא לאור: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer
[20..].
Cham : Springer Nature |
| מהדורה: | 2nd edition. |
| סדרה: | Communications and Control Engineering
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| נושאים: | |
| גישה מקוונת: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| הערה: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Liapunov functions and stability in control theory, Andrea Bacciotti and Lionel Rosier, 2nd edition, 2005, Berlin, Springer, 1 volume (xiii-235 pages), Communications and control engineering, 978-3-540-21332-1 |
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| 041 | 0 | |a eng | |
| 082 | |a 629.8 | ||
| 084 | |a 93-02. 2020 | ||
| 084 | |a 93D30. 2020 | ||
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| 100 | 1 | |a Bacciotti, Andrea, |d 19..-...., |c mathématicienne. | |
| 245 | 1 | 0 | |a Liapunov functions and stability in control theory |c Andrea Bacciotti and Lionel Rosier. |
| 250 | |a 2nd edition. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg : |b Imprint: Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 1 | |a Communications and Control Engineering |x 2197-7119 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 0 | |a Differential equations -- Time invariant systems -- Time varying systems -- Differential inclusions -- Additional properties of strict Liapunov functions -- Monotonicity and generalized derivatives | |
| 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 book presents a modern and self-contained treatment of the Liapunov method for stability analysis, in the framework of mathematical nonlinear control theory. A Particular focus is on the problem of the existence of Liapunov functions (converse Liapunov theorems) and their regularity, whose interest is especially motivated by applications to automatic control. Many recent results in this area have been collected and presented in a systematic way. Some of them are given in extended, unified versions and with new, simpler proofs. In the 2nd edition of this successful book several new sections were added and old sections have been improved, e.g about the Zubovs method, Liapunov functions for discontinuous systems and cascaded systems. Many new examples, explanations and figures were added making this book accessible and well readable for engineers as well as mathematicians | ||
| 650 | |a Théorie de la commande | ||
| 650 | |a Fonctions de Liapounov | ||
| 650 | |a Stabilité | ||
| 700 | 1 | |a Rosier, Lionel, |d 1967-...., |c mathématicien. |4 aut | |
| 776 | 0 | |0 095920420 |t Liapunov functions and stability in control theory |f Andrea Bacciotti and Lionel Rosier |e 2nd edition |d 2005 |c Berlin |n Springer |p 1 volume (xiii-235 pages) |s Communications and control engineering |z 978-3-540-21332-1 | |
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