000 | 03499nam a22006255i 4500 | ||
---|---|---|---|
001 | 978-3-031-30133-9 | ||
003 | DE-He213 | ||
005 | 20240508082416.0 | ||
007 | cr nn 008mamaa | ||
008 | 230516s2023 sz | s |||| 0|eng d | ||
020 |
_a9783031301339 _9978-3-031-30133-9 |
||
024 | 7 |
_a10.1007/978-3-031-30133-9 _2doi |
|
050 | 4 | _aTJ212-225 | |
072 | 7 |
_aTJFM _2bicssc |
|
072 | 7 |
_aGPFC _2bicssc |
|
072 | 7 |
_aTEC007000 _2bisacsh |
|
072 | 7 |
_aTJFM _2thema |
|
082 | 0 | 4 |
_a629.8312 _223 |
082 | 0 | 4 |
_a003 _223 |
100 | 1 |
_aJongeneel, Wouter. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
245 | 1 | 0 |
_aTopological Obstructions to Stability and Stabilization _h[electronic resource] : _bHistory, Recent Advances and Open Problems / _cby Wouter Jongeneel, Emmanuel Moulay. |
250 | _a1st ed. 2023. | ||
264 | 1 |
_aCham : _bSpringer Nature Switzerland : _bImprint: Springer, _c2023. |
|
300 |
_aX, 132 p. 27 illus. _bonline resource. |
||
336 |
_atext _btxt _2rdacontent |
||
337 |
_acomputer _bc _2rdamedia |
||
338 |
_aonline resource _bcr _2rdacarrier |
||
347 |
_atext file _bPDF _2rda |
||
490 | 1 |
_aSpringerBriefs in Control, Automation and Robotics, _x2192-6794 |
|
505 | 0 | _a1. 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. . | |
506 | 0 | _aOpen Access | |
520 | _aThis 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. | ||
650 | 0 | _aControl engineering. | |
650 | 0 | _aDynamical systems. | |
650 | 0 | _aTopology. | |
650 | 0 | _aRobotics. | |
650 | 0 | _aAlgorithms. | |
650 | 1 | 4 | _aControl and Systems Theory. |
650 | 2 | 4 | _aDynamical Systems. |
650 | 2 | 4 | _aTopology. |
650 | 2 | 4 | _aRobotics. |
650 | 2 | 4 | _aDesign and Analysis of Algorithms. |
700 | 1 |
_aMoulay, Emmanuel. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer Nature eBook | |
776 | 0 | 8 |
_iPrinted edition: _z9783031301322 |
776 | 0 | 8 |
_iPrinted edition: _z9783031301346 |
830 | 0 |
_aSpringerBriefs in Control, Automation and Robotics, _x2192-6794 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-031-30133-9 |
912 | _aZDB-2-INR | ||
912 | _aZDB-2-SXIT | ||
912 | _aZDB-2-SOB | ||
999 |
_c37657 _d37657 |