Téléchargez le livre : Topological Obstructions to Stability and Stabilization

Topological Obstructions to Stability and Stabilization

History, Recent Advances and Open Problems de

,

Éditeur :

Springer


Collection :

SpringerBriefs in Electrical and Computer Engineering

Paru le : 2023-05-16

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Description

This open access book provides a unified overview of topological obstructions to the stability and stabilization of dynamical systems defined on manifolds and an overview that is self-contained and accessible to the control-oriented graduate student. The authors review the interplay between the topology of an attractor, its domain of attraction, and the underlying manifold that is supposed to contain these sets. They present some proofs of known results in order to highlight assumptions and to develop extensions, and they provide new results showcasing the most effective methods to cope with these obstructions to stability and stabilization. Moreover, the book shows how Borsuk’s retraction theory and the index-theoretic methodology of Krasnosel’skii and Zabreiko underlie a large fraction of currently known results. This point of view reveals important open problems, and for that reason, this book is of interest to any researcher in control, dynamical systems, topology, or relatedfields.
Pages
132 pages
Collection
SpringerBriefs in Electrical and Computer Engineering
Parution
2023-05-16
Marque
Springer
EAN papier
9783031301322
EAN PDF
9783031301339
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
13
Taille du fichier
2826 Ko
Prix
0,00 €
EAN EPUB
9783031301339
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
13
Taille du fichier
9021 Ko
Prix
0,00 €

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