Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Topological Obstructions to Stability and Stabilization: History, Recent Advances and Open Problems

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

Jongeneel, Wouter
Moulay, Emmanuel

Paperback

Technology & EngineeringGeneral Mathematics

ISBN10: 3031301323
ISBN13: 9783031301322
Publisher: Springer
Published: May 17 2023
Pages: 132
Weight: 0.47
Height: 0.31 Width: 6.14 Depth: 9.21
Language: English
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.

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