Topological Obstructions to Stability and Stabilization eBook
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Topological Obstructions to Stability and Stabilization

History, Recent Advances and Open Problems

Wouter Jongeneel, Emmanuel Moulay


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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.

About the book
Author
Wouter  Jongeneel , Emmanuel  Moulay
Imprint
Springer
Collection
SpringerBriefs in Electrical and Computer Engineering
Publication date
2023-05-16
Pages
132 pages
Print ISBN
9783031301322
Language
English
Ebook informations
EAN PDF
9783031301339
Price
£0.00
Read more
Copy count 1
Print count 13
File size 2826 Ko
Ce livre est accessible aux handicaps   Informations accessibility
EAN EPUB
9783031301339
Price
£0.00
Read more
Copy count 1
Print count 13
File size 9021 Ko
Ce livre est accessible aux handicaps   Informations accessibility
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