Optimal control and geometry: integrable systems
The synthesis of symplectic geometry, the calculus of variations and control theory offered in this book provides a crucial foundation for the understanding of many problems in applied mathematics. Focusing on the theory of integrable systems, this book introduces a class of optimal control problems...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2016
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| Schriftenreihe: | Cambridge studies in advanced mathematics
154 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBR01 URL des Erstveröffentlichers |
| Zusammenfassung: | The synthesis of symplectic geometry, the calculus of variations and control theory offered in this book provides a crucial foundation for the understanding of many problems in applied mathematics. Focusing on the theory of integrable systems, this book introduces a class of optimal control problems on Lie groups, whose Hamiltonians, obtained through the Maximum Principle of optimality, shed new light on the theory of integrable systems. These Hamiltonians provide an original and unified account of the existing theory of integrable systems. The book particularly explains much of the mystery surrounding the Kepler problem, the Jacobi problem and the Kovalevskaya Top. It also reveals the ubiquitous presence of elastic curves in integrable systems up to the soliton solutions of the non-linear Schroedinger's equation. Containing a useful blend of theory and applications, this is an indispensable guide for graduates and researchers in many fields, from mathematical physics to space control |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 May 2016) |
| Beschreibung: | 1 online resource (xx, 415 Seiten) |
| ISBN: | 9781316286852 |
| DOI: | 10.1017/CBO9781316286852 |
Internformat
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| 246 | 1 | 3 | |a Optimal Control & Geometry: Integrable Systems |
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| 500 | |a Title from publisher's bibliographic system (viewed on 05 May 2016) | ||
| 520 | |a The synthesis of symplectic geometry, the calculus of variations and control theory offered in this book provides a crucial foundation for the understanding of many problems in applied mathematics. Focusing on the theory of integrable systems, this book introduces a class of optimal control problems on Lie groups, whose Hamiltonians, obtained through the Maximum Principle of optimality, shed new light on the theory of integrable systems. These Hamiltonians provide an original and unified account of the existing theory of integrable systems. The book particularly explains much of the mystery surrounding the Kepler problem, the Jacobi problem and the Kovalevskaya Top. It also reveals the ubiquitous presence of elastic curves in integrable systems up to the soliton solutions of the non-linear Schroedinger's equation. Containing a useful blend of theory and applications, this is an indispensable guide for graduates and researchers in many fields, from mathematical physics to space control | ||
| 650 | 4 | |a Control theory | |
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| 650 | 4 | |a Manifolds (Mathematics) | |
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Datensatz im Suchindex
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| author | Jurdjevic, Velimir 1940- |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.642 |
| dewey-search | 515/.642 |
| dewey-sort | 3515 3642 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9781316286852 |
| format | Electronic eBook |
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| id | DE-604.BV043940276 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:13Z |
| institution | BVB |
| isbn | 9781316286852 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029349246 |
| oclc_num | 967678173 |
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| owner_facet | DE-12 DE-92 DE-355 DE-BY-UBR DE-83 |
| physical | 1 online resource (xx, 415 Seiten) |
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| publishDate | 2016 |
| publishDateSearch | 2016 |
| publishDateSort | 2016 |
| publisher | Cambridge University Press |
| record_format | marc |
| series | Cambridge studies in advanced mathematics |
| series2 | Cambridge studies in advanced mathematics |
| spelling | Jurdjevic, Velimir 1940- Verfasser (DE-588)137500033 aut Optimal control and geometry integrable systems Velimir Jurdjevic, University of Toronto Optimal Control & Geometry: Integrable Systems Cambridge Cambridge University Press 2016 1 online resource (xx, 415 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge studies in advanced mathematics 154 Title from publisher's bibliographic system (viewed on 05 May 2016) The synthesis of symplectic geometry, the calculus of variations and control theory offered in this book provides a crucial foundation for the understanding of many problems in applied mathematics. Focusing on the theory of integrable systems, this book introduces a class of optimal control problems on Lie groups, whose Hamiltonians, obtained through the Maximum Principle of optimality, shed new light on the theory of integrable systems. These Hamiltonians provide an original and unified account of the existing theory of integrable systems. The book particularly explains much of the mystery surrounding the Kepler problem, the Jacobi problem and the Kovalevskaya Top. It also reveals the ubiquitous presence of elastic curves in integrable systems up to the soliton solutions of the non-linear Schroedinger's equation. Containing a useful blend of theory and applications, this is an indispensable guide for graduates and researchers in many fields, from mathematical physics to space control Control theory Geometry, Differential Hamiltonian systems Lie groups Manifolds (Mathematics) Erscheint auch als Druck-Ausgabe 978-1-107-11388-6 Cambridge studies in advanced mathematics 154 (DE-604)BV044781283 154 https://doi.org/10.1017/CBO9781316286852 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Jurdjevic, Velimir 1940- Optimal control and geometry integrable systems Cambridge studies in advanced mathematics Control theory Geometry, Differential Hamiltonian systems Lie groups Manifolds (Mathematics) |
| title | Optimal control and geometry integrable systems |
| title_alt | Optimal Control & Geometry: Integrable Systems |
| title_auth | Optimal control and geometry integrable systems |
| title_exact_search | Optimal control and geometry integrable systems |
| title_full | Optimal control and geometry integrable systems Velimir Jurdjevic, University of Toronto |
| title_fullStr | Optimal control and geometry integrable systems Velimir Jurdjevic, University of Toronto |
| title_full_unstemmed | Optimal control and geometry integrable systems Velimir Jurdjevic, University of Toronto |
| title_short | Optimal control and geometry |
| title_sort | optimal control and geometry integrable systems |
| title_sub | integrable systems |
| topic | Control theory Geometry, Differential Hamiltonian systems Lie groups Manifolds (Mathematics) |
| topic_facet | Control theory Geometry, Differential Hamiltonian systems Lie groups Manifolds (Mathematics) |
| url | https://doi.org/10.1017/CBO9781316286852 |
| volume_link | (DE-604)BV044781283 |
| work_keys_str_mv | AT jurdjevicvelimir optimalcontrolandgeometryintegrablesystems AT jurdjevicvelimir optimalcontrolgeometryintegrablesystems |