Text

Topological Obstructions to Stability and Stabilization : History, Recent Advances and Open Problems

---

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.

---

Availability

Detail Information

Series Title

SpringerBriefs in Electrical and Computer Engineering (BRIEFSELECTRIC)

Call Number

620 JON t

Publisher

Cham : Springer Cham., 2023

Collation

X, 132

Language

English

ISBN/ISSN

978-3-031-30133-9

Classification

620

Content Type

text

Media Type

computer

Carrier Type

online resource

Edition

-

Subject(s)

Control and Systems Theory

Specific Detail Info

-

Statement of Responsibility

Wouter Jongeneel, Emmanuel Moulay

Other Information

Cataloger

-

Source

-

Validator

Maya

Digital Object Identifier (DOI)

https://doi.org/10.1007/978-3-031-30133-9

Journal Volume

-

Journal Issue

-

Subtitle

-

Parallel Title

-

Other version/related

File Attachment

Comments

---

You must be logged in to post a comment