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...

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Xehetasun bibliografikoak
Egile Nagusiak: Bacciotti, Andrea, 19..-...., mathématicienne, Rosier, Lionel, 1967-...., mathématicien (Egilea)
Formatua: Livre numérique
Hizkuntza:Anglais
Argitaratua: London : Springer-Verlag London Limited : Springer e-books [20..].
Cham : Springer Nature
Saila:Lecture notes in control and information sciences 267
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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
Deskribapena
Gaia: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.
Alearen deskribapena:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9781846288173 (PDF)
9781846288173
ISSN:1610-7411
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Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017