Liapunov functions and stability in control theory
The main purpose of this work is to present a modern and self-contained treatment of the Liapunov method for stability analysis, in the framework of mathematical nonlinear control theory. We focus in particular on the problem of the existence of Liapunov functions (converse Liapunov theorems) and th...
Guardat en:
| Autors principals: | , |
|---|---|
| Format: | Livre numérique |
| Idioma: | Anglais |
| Publicat: |
London :
Springer-Verlag London Limited : Springer e-books
[20..].
Cham : Springer Nature |
| Col·lecció: | Lecture notes in control and information sciences
267 |
| Matèries: | |
| Accés en línia: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
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, 2001, London [etc.], Springer, 1 vol. (XI-208 p.), Lecture notes in control and information sciences, 1-85233-419-3 • Liapunov Functions and Stability in Control Theory, Texte imprimé, 9781447139744 |
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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. |
| 260 | |a London : |b Springer-Verlag London Limited : |b Springer e-books. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in control and information sciences |v 267 |x 1610-7411 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Differential equations -- Tine 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 The main purpose of this work is to present a modern and self-contained treatment of the Liapunov method for stability analysis, in the framework of mathematical nonlinear control theory. We focus in particular 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 (boundedness of state evolution with respect to bounded inputs, stabilization by feedback). 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. | ||
| 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 058083286 |t Liapunov functions and stability in control theory |f Andrea Bacciotti and Lionel Rosier |d 2001 |c London [etc.] |n Springer |p 1 vol. (XI-208 p.) |s Lecture notes in control and information sciences |z 1-85233-419-3 | |
| 776 | 0 | |t Liapunov Functions and Stability in Control Theory |b Texte imprimé |z 9781447139744 | |
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