Electronic Resource

TOPOLOGICAL OBSTRUCTIONS TO STABILITY AND STABILIZATION : HISTORY, RECENT ADVANCES AND OPEN PROBLEMS

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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 related fields.

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Ketersediaan

Informasi Detail

Judul Seri

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No. Panggil

629.892 WOU t

Penerbit

inggris : Springer Cham., 2023

Deskripsi Fisik

X, 132 ; 27 b/w illustrations

Bahasa

English

ISBN/ISSN

978-3-031-30133-9

Klasifikasi

629.892

Tipe Isi

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Tipe Media

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Tipe Pembawa

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Edisi

1

Subjek

CONTROL
ROBOTICS
CONTROL AND SYSTEMS THEORY
DYNAMICAL SYSTEMS AND ERGODIC THEORY
DYNAMICAL SYSTEMS
TOPOLOGY
ALGORITHM ANALYSIS AND PROBLEM COMPLEXITY

Info Detail Spesifik

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Pernyataan Tanggungjawab

WOUTER JONGENEEL

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