Topological Obstructions to Stability and Stabilization : History, Recent Advances and Open Problems / / by Wouter Jongeneel, Emmanuel Moulay.
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 topo...
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Superior document: | SpringerBriefs in Control, Automation and Robotics, |
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Place / Publishing House: | Cham : : Springer Nature Switzerland :, Imprint: Springer,, 2023. |
Year of Publication: | 2023 |
Edition: | 1st ed. 2023. |
Language: | English |
Series: | SpringerBriefs in Control, Automation and Robotics,
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Physical Description: | 1 online resource (134 pages) |
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(CKB)5580000000542387 (MiAaPQ)EBC30545021 (Au-PeEL)EBL30545021 (DE-He213)978-3-031-30133-9 (PPN)270614591 (OCoLC)1379844604 (EXLCZ)995580000000542387 |
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Jongeneel, Wouter. Topological Obstructions to Stability and Stabilization [electronic resource] : History, Recent Advances and Open Problems / by Wouter Jongeneel, Emmanuel Moulay. 1st ed. 2023. Cham : Springer Nature Switzerland : Imprint: Springer, 2023. 1 online resource (134 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier SpringerBriefs in Control, Automation and Robotics, 2192-6794 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. 1. Introduction -- 2. General topology -- 3. Differential topology -- 4. Algebraic topology -- 5. Dynamical control systems -- 6. Topological obstructions -- 7. Towards accepting and overcoming topological obstructions -- 8. Generalizations and open problems. . Open Access Control engineering. Dynamical systems. Topology. Robotics. Algorithms. Control and Systems Theory. Dynamical Systems. Design and Analysis of Algorithms. 3-031-30132-3 Moulay, Emmanuel. |
language |
English |
format |
Electronic eBook |
author |
Jongeneel, Wouter. |
spellingShingle |
Jongeneel, Wouter. Topological Obstructions to Stability and Stabilization History, Recent Advances and Open Problems / SpringerBriefs in Control, Automation and Robotics, 1. Introduction -- 2. General topology -- 3. Differential topology -- 4. Algebraic topology -- 5. Dynamical control systems -- 6. Topological obstructions -- 7. Towards accepting and overcoming topological obstructions -- 8. Generalizations and open problems. . |
author_facet |
Jongeneel, Wouter. Moulay, Emmanuel. |
author_variant |
w j wj |
author2 |
Moulay, Emmanuel. |
author2_variant |
e m em |
author2_role |
TeilnehmendeR |
author_sort |
Jongeneel, Wouter. |
title |
Topological Obstructions to Stability and Stabilization History, Recent Advances and Open Problems / |
title_sub |
History, Recent Advances and Open Problems / |
title_full |
Topological Obstructions to Stability and Stabilization [electronic resource] : History, Recent Advances and Open Problems / by Wouter Jongeneel, Emmanuel Moulay. |
title_fullStr |
Topological Obstructions to Stability and Stabilization [electronic resource] : History, Recent Advances and Open Problems / by Wouter Jongeneel, Emmanuel Moulay. |
title_full_unstemmed |
Topological Obstructions to Stability and Stabilization [electronic resource] : History, Recent Advances and Open Problems / by Wouter Jongeneel, Emmanuel Moulay. |
title_auth |
Topological Obstructions to Stability and Stabilization History, Recent Advances and Open Problems / |
title_new |
Topological Obstructions to Stability and Stabilization |
title_sort |
topological obstructions to stability and stabilization history, recent advances and open problems / |
series |
SpringerBriefs in Control, Automation and Robotics, |
series2 |
SpringerBriefs in Control, Automation and Robotics, |
publisher |
Springer Nature Switzerland : Imprint: Springer, |
publishDate |
2023 |
physical |
1 online resource (134 pages) |
edition |
1st ed. 2023. |
contents |
1. Introduction -- 2. General topology -- 3. Differential topology -- 4. Algebraic topology -- 5. Dynamical control systems -- 6. Topological obstructions -- 7. Towards accepting and overcoming topological obstructions -- 8. Generalizations and open problems. . |
isbn |
3-031-30133-1 3-031-30132-3 |
issn |
2192-6794 |
callnumber-first |
T - Technology |
callnumber-subject |
TJ - Mechanical Engineering and Machinery |
callnumber-label |
TJ212-225 |
callnumber-sort |
TJ 3212 3225 |
illustrated |
Not Illustrated |
dewey-hundreds |
600 - Technology 000 - Computer science, information & general works |
dewey-tens |
620 - Engineering 000 - Computer science, knowledge & systems |
dewey-ones |
629 - Other branches of engineering 003 - Systems |
dewey-full |
629.8312 003 |
dewey-sort |
3629.8312 |
dewey-raw |
629.8312 003 |
dewey-search |
629.8312 003 |
oclc_num |
1379844604 |
work_keys_str_mv |
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hierarchy_parent_title |
SpringerBriefs in Control, Automation and Robotics, |
is_hierarchy_title |
Topological Obstructions to Stability and Stabilization History, Recent Advances and Open Problems / |
container_title |
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