Optimization and Dynamical Systems:
This work is aimed at mathematics and engineering graduate students and researchers in the areas of optimization, dynamical systems, control sys tems, signal processing, and linear algebra. The motivation for the results developed here arises from advanced engineering applications and the emer gen...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
London
Springer London
1994
|
| Schriftenreihe: | Communications and Control Engineering
|
| Schlagworte: | |
| Online-Zugang: | BTU01 URL des Erstveröffentlichers |
| Zusammenfassung: | This work is aimed at mathematics and engineering graduate students and researchers in the areas of optimization, dynamical systems, control sys tems, signal processing, and linear algebra. The motivation for the results developed here arises from advanced engineering applications and the emer gence of highly parallel computing machines for tackling such applications. The problems solved are those of linear algebra and linear systems the ory, and include such topics as diagonalizing a symmetric matrix, singular value decomposition, balanced realizations, linear programming, sensitivity minimization, and eigenvalue assignment by feedback control. The tools are those, not only of linear algebra and systems theory, but also of differential geometry. The problems are solved via dynamical sys tems implementation, either in continuous time or discrete time , which is ideally suited to distributed parallel processing. The problems tackled are indirectly or directly concerned with dynamical systems themselves, so there is feedback in that dynamical systems are used to understand and optimize dynamical systems. One key to the new research results has been the recent discovery of rather deep existence and uniqueness results for the solution of certain matrix least squares optimization problems in geomet ric invariant theory. These problems, as well as many other optimization problems arising in linear algebra and systems theory, do not always admit solutions which can be found by algebraic methods |
| Beschreibung: | 1 Online-Ressource (XIII, 403 p. 2 illus) |
| ISBN: | 9781447134671 |
| DOI: | 10.1007/978-1-4471-3467-1 |
Internformat
MARC
| LEADER | 00000nmm a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV045186908 | ||
| 003 | DE-604 | ||
| 005 | 20191014 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 180912s1994 |||| o||u| ||||||eng d | ||
| 020 | |a 9781447134671 |9 978-1-4471-3467-1 | ||
| 024 | 7 | |a 10.1007/978-1-4471-3467-1 |2 doi | |
| 035 | |a (ZDB-2-ENG)978-1-4471-3467-1 | ||
| 035 | |a (OCoLC)1053846760 | ||
| 035 | |a (DE-599)BVBBV045186908 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-634 | ||
| 082 | 0 | |a 629.8 |2 23 | |
| 100 | 1 | |a Helmke, Uwe |d 1952-2016 |e Verfasser |0 (DE-588)172133122 |4 aut | |
| 245 | 1 | 0 | |a Optimization and Dynamical Systems |c by Uwe Helmke, John B. Moore |
| 264 | 1 | |a London |b Springer London |c 1994 | |
| 300 | |a 1 Online-Ressource (XIII, 403 p. 2 illus) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Communications and Control Engineering | |
| 520 | |a This work is aimed at mathematics and engineering graduate students and researchers in the areas of optimization, dynamical systems, control sys tems, signal processing, and linear algebra. The motivation for the results developed here arises from advanced engineering applications and the emer gence of highly parallel computing machines for tackling such applications. The problems solved are those of linear algebra and linear systems the ory, and include such topics as diagonalizing a symmetric matrix, singular value decomposition, balanced realizations, linear programming, sensitivity minimization, and eigenvalue assignment by feedback control. The tools are those, not only of linear algebra and systems theory, but also of differential geometry. The problems are solved via dynamical sys tems implementation, either in continuous time or discrete time , which is ideally suited to distributed parallel processing. The problems tackled are indirectly or directly concerned with dynamical systems themselves, so there is feedback in that dynamical systems are used to understand and optimize dynamical systems. One key to the new research results has been the recent discovery of rather deep existence and uniqueness results for the solution of certain matrix least squares optimization problems in geomet ric invariant theory. These problems, as well as many other optimization problems arising in linear algebra and systems theory, do not always admit solutions which can be found by algebraic methods | ||
| 650 | 4 | |a Engineering | |
| 650 | 4 | |a Control | |
| 650 | 4 | |a Dynamical Systems and Ergodic Theory | |
| 650 | 4 | |a Mathematical Modeling and Industrial Mathematics | |
| 650 | 4 | |a Communications Engineering, Networks | |
| 650 | 4 | |a Systems Theory, Control | |
| 650 | 4 | |a Calculus of Variations and Optimal Control; Optimization | |
| 650 | 4 | |a Engineering | |
| 650 | 4 | |a Dynamics | |
| 650 | 4 | |a Ergodic theory | |
| 650 | 4 | |a System theory | |
| 650 | 4 | |a Mathematical models | |
| 650 | 4 | |a Calculus of variations | |
| 650 | 4 | |a Control engineering | |
| 650 | 4 | |a Electrical engineering | |
| 650 | 0 | 7 | |a Optimierung |0 (DE-588)4043664-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Dynamisches System |0 (DE-588)4013396-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Dynamisches System |0 (DE-588)4013396-5 |D s |
| 689 | 0 | 1 | |a Optimierung |0 (DE-588)4043664-0 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 700 | 1 | |a Moore, John B. |d 1941- |0 (DE-588)129338648 |4 aut | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 9781447134695 |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-1-4471-3467-1 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 912 | |a ZDB-2-ENG | ||
| 940 | 1 | |q ZDB-2-ENG_Archiv | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-030576085 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 966 | e | |u https://doi.org/10.1007/978-1-4471-3467-1 |l BTU01 |p ZDB-2-ENG |q ZDB-2-ENG_Archiv |x Verlag |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1804178878426513408 |
|---|---|
| any_adam_object | |
| author | Helmke, Uwe 1952-2016 Moore, John B. 1941- |
| author_GND | (DE-588)172133122 (DE-588)129338648 |
| author_facet | Helmke, Uwe 1952-2016 Moore, John B. 1941- |
| author_role | aut aut |
| author_sort | Helmke, Uwe 1952-2016 |
| author_variant | u h uh j b m jb jbm |
| building | Verbundindex |
| bvnumber | BV045186908 |
| collection | ZDB-2-ENG |
| ctrlnum | (ZDB-2-ENG)978-1-4471-3467-1 (OCoLC)1053846760 (DE-599)BVBBV045186908 |
| dewey-full | 629.8 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 629 - Other branches of engineering |
| dewey-raw | 629.8 |
| dewey-search | 629.8 |
| dewey-sort | 3629.8 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
| doi_str_mv | 10.1007/978-1-4471-3467-1 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03849nmm a2200637zc 4500</leader><controlfield tag="001">BV045186908</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20191014 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">180912s1994 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781447134671</subfield><subfield code="9">978-1-4471-3467-1</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-1-4471-3467-1</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-2-ENG)978-1-4471-3467-1</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1053846760</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV045186908</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-634</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">629.8</subfield><subfield code="2">23</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Helmke, Uwe</subfield><subfield code="d">1952-2016</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)172133122</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Optimization and Dynamical Systems</subfield><subfield code="c">by Uwe Helmke, John B. Moore</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">London</subfield><subfield code="b">Springer London</subfield><subfield code="c">1994</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (XIII, 403 p. 2 illus)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Communications and Control Engineering</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">This work is aimed at mathematics and engineering graduate students and researchers in the areas of optimization, dynamical systems, control sys tems, signal processing, and linear algebra. The motivation for the results developed here arises from advanced engineering applications and the emer gence of highly parallel computing machines for tackling such applications. The problems solved are those of linear algebra and linear systems the ory, and include such topics as diagonalizing a symmetric matrix, singular value decomposition, balanced realizations, linear programming, sensitivity minimization, and eigenvalue assignment by feedback control. The tools are those, not only of linear algebra and systems theory, but also of differential geometry. The problems are solved via dynamical sys tems implementation, either in continuous time or discrete time , which is ideally suited to distributed parallel processing. The problems tackled are indirectly or directly concerned with dynamical systems themselves, so there is feedback in that dynamical systems are used to understand and optimize dynamical systems. One key to the new research results has been the recent discovery of rather deep existence and uniqueness results for the solution of certain matrix least squares optimization problems in geomet ric invariant theory. These problems, as well as many other optimization problems arising in linear algebra and systems theory, do not always admit solutions which can be found by algebraic methods</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Engineering</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Control</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Dynamical Systems and Ergodic Theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematical Modeling and Industrial Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Communications Engineering, Networks</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Systems Theory, Control</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Calculus of Variations and Optimal Control; Optimization</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Engineering</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Dynamics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Ergodic theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">System theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematical models</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Calculus of variations</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Control engineering</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Electrical engineering</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Optimierung</subfield><subfield code="0">(DE-588)4043664-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Dynamisches System</subfield><subfield code="0">(DE-588)4013396-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Dynamisches System</subfield><subfield code="0">(DE-588)4013396-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Optimierung</subfield><subfield code="0">(DE-588)4043664-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Moore, John B.</subfield><subfield code="d">1941-</subfield><subfield code="0">(DE-588)129338648</subfield><subfield code="4">aut</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">9781447134695</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-1-4471-3467-1</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-ENG</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">ZDB-2-ENG_Archiv</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-030576085</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-1-4471-3467-1</subfield><subfield code="l">BTU01</subfield><subfield code="p">ZDB-2-ENG</subfield><subfield code="q">ZDB-2-ENG_Archiv</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV045186908 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T08:10:58Z |
| institution | BVB |
| isbn | 9781447134671 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030576085 |
| oclc_num | 1053846760 |
| open_access_boolean | |
| owner | DE-634 |
| owner_facet | DE-634 |
| physical | 1 Online-Ressource (XIII, 403 p. 2 illus) |
| psigel | ZDB-2-ENG ZDB-2-ENG_Archiv ZDB-2-ENG ZDB-2-ENG_Archiv |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Springer London |
| record_format | marc |
| series2 | Communications and Control Engineering |
| spelling | Helmke, Uwe 1952-2016 Verfasser (DE-588)172133122 aut Optimization and Dynamical Systems by Uwe Helmke, John B. Moore London Springer London 1994 1 Online-Ressource (XIII, 403 p. 2 illus) txt rdacontent c rdamedia cr rdacarrier Communications and Control Engineering This work is aimed at mathematics and engineering graduate students and researchers in the areas of optimization, dynamical systems, control sys tems, signal processing, and linear algebra. The motivation for the results developed here arises from advanced engineering applications and the emer gence of highly parallel computing machines for tackling such applications. The problems solved are those of linear algebra and linear systems the ory, and include such topics as diagonalizing a symmetric matrix, singular value decomposition, balanced realizations, linear programming, sensitivity minimization, and eigenvalue assignment by feedback control. The tools are those, not only of linear algebra and systems theory, but also of differential geometry. The problems are solved via dynamical sys tems implementation, either in continuous time or discrete time , which is ideally suited to distributed parallel processing. The problems tackled are indirectly or directly concerned with dynamical systems themselves, so there is feedback in that dynamical systems are used to understand and optimize dynamical systems. One key to the new research results has been the recent discovery of rather deep existence and uniqueness results for the solution of certain matrix least squares optimization problems in geomet ric invariant theory. These problems, as well as many other optimization problems arising in linear algebra and systems theory, do not always admit solutions which can be found by algebraic methods Engineering Control Dynamical Systems and Ergodic Theory Mathematical Modeling and Industrial Mathematics Communications Engineering, Networks Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Dynamics Ergodic theory System theory Mathematical models Calculus of variations Control engineering Electrical engineering Optimierung (DE-588)4043664-0 gnd rswk-swf Dynamisches System (DE-588)4013396-5 gnd rswk-swf Dynamisches System (DE-588)4013396-5 s Optimierung (DE-588)4043664-0 s 1\p DE-604 Moore, John B. 1941- (DE-588)129338648 aut Erscheint auch als Druck-Ausgabe 9781447134695 https://doi.org/10.1007/978-1-4471-3467-1 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Helmke, Uwe 1952-2016 Moore, John B. 1941- Optimization and Dynamical Systems Engineering Control Dynamical Systems and Ergodic Theory Mathematical Modeling and Industrial Mathematics Communications Engineering, Networks Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Dynamics Ergodic theory System theory Mathematical models Calculus of variations Control engineering Electrical engineering Optimierung (DE-588)4043664-0 gnd Dynamisches System (DE-588)4013396-5 gnd |
| subject_GND | (DE-588)4043664-0 (DE-588)4013396-5 |
| title | Optimization and Dynamical Systems |
| title_auth | Optimization and Dynamical Systems |
| title_exact_search | Optimization and Dynamical Systems |
| title_full | Optimization and Dynamical Systems by Uwe Helmke, John B. Moore |
| title_fullStr | Optimization and Dynamical Systems by Uwe Helmke, John B. Moore |
| title_full_unstemmed | Optimization and Dynamical Systems by Uwe Helmke, John B. Moore |
| title_short | Optimization and Dynamical Systems |
| title_sort | optimization and dynamical systems |
| topic | Engineering Control Dynamical Systems and Ergodic Theory Mathematical Modeling and Industrial Mathematics Communications Engineering, Networks Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Dynamics Ergodic theory System theory Mathematical models Calculus of variations Control engineering Electrical engineering Optimierung (DE-588)4043664-0 gnd Dynamisches System (DE-588)4013396-5 gnd |
| topic_facet | Engineering Control Dynamical Systems and Ergodic Theory Mathematical Modeling and Industrial Mathematics Communications Engineering, Networks Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Dynamics Ergodic theory System theory Mathematical models Calculus of variations Control engineering Electrical engineering Optimierung Dynamisches System |
| url | https://doi.org/10.1007/978-1-4471-3467-1 |
| work_keys_str_mv | AT helmkeuwe optimizationanddynamicalsystems AT moorejohnb optimizationanddynamicalsystems |