Optimal Control of ODEs and DAEs / / Matthias Gerdts.
The intention of this textbook is to provide both, the theoretical and computational tools that are necessary to investigate and to solve optimal control problems with ordinary differential equations and differential-algebraic equations. An emphasis is placed on the interplay between the continuous...
Saved in:
| Superior document: | Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 |
|---|---|
| VerfasserIn: | |
| MitwirkendeR: | |
| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2011] ©2012 |
| Year of Publication: | 2011 |
| Language: | English |
| Series: | De Gruyter Textbook
|
| Online Access: | |
| Physical Description: | 1 online resource (458 p.) |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| id |
9783110249996 |
|---|---|
| ctrlnum |
(DE-B1597)113891 (OCoLC)840446283 |
| collection |
bib_alma |
| record_format |
marc |
| spelling |
Gerdts, Matthias, author. aut http://id.loc.gov/vocabulary/relators/aut Optimal Control of ODEs and DAEs / Matthias Gerdts. Berlin ; Boston : De Gruyter, [2011] ©2012 1 online resource (458 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda De Gruyter Textbook Frontmatter -- Preface -- Contents -- Chapter 1. Introduction -- Chapter 2. Infinite Optimization Problems -- Chapter 3. Local Minimum Principles -- Chapter 4. Discretization Methods for ODEs and DAEs -- Chapter 5. Discretization of Optimal Control Problems -- Chapter 6. Real-Time Control -- Chapter 7. Mixed-Integer Optimal Control -- Chapter 8. Function Space Methods -- Bibliography -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star The intention of this textbook is to provide both, the theoretical and computational tools that are necessary to investigate and to solve optimal control problems with ordinary differential equations and differential-algebraic equations. An emphasis is placed on the interplay between the continuous optimal control problem, which typically is defined and analyzed in a Banach space setting, and discrete optimal control problems, which are obtained by discretization and lead to finite dimensional optimization problems. The book addresses primarily master and PhD students as well as researchers in applied mathematics, but also engineers or scientists with a good background in mathematics and interest in optimal control. The theoretical parts of the book require some knowledge of functional analysis, the numerically oriented parts require knowledge from linear algebra and numerical analysis. Examples are provided for illustration purposes. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 29. Nov 2021) Control theory Mathematical models. Mathematical optimization. Control Theory. Optimization. Ordinary Differential Equations. MATHEMATICS / Algebra / Intermediate. bisacsh DAE. ODE. Optimal. Gerdts, Matthias, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 9783110238570 Title is part of eBook package: De Gruyter DGBA Backlist Mathematics 2000-2014 (EN) 9783110238471 Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014 9783110637205 ZDB-23-GMA Title is part of eBook package: De Gruyter E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2011 9783110261189 ZDB-23-DGG Title is part of eBook package: De Gruyter E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2011 9783110261233 Title is part of eBook package: De Gruyter E-BOOK PAKET SCIENCE TECHNOLOGY AND MEDICINE 2011 9783110261202 ZDB-23-DMN print 9783110249958 https://doi.org/10.1515/9783110249996 https://www.degruyter.com/isbn/9783110249996 Cover https://www.degruyter.com/document/cover/isbn/9783110249996/original |
| language |
English |
| format |
eBook |
| author |
Gerdts, Matthias, Gerdts, Matthias, |
| spellingShingle |
Gerdts, Matthias, Gerdts, Matthias, Optimal Control of ODEs and DAEs / De Gruyter Textbook Frontmatter -- Preface -- Contents -- Chapter 1. Introduction -- Chapter 2. Infinite Optimization Problems -- Chapter 3. Local Minimum Principles -- Chapter 4. Discretization Methods for ODEs and DAEs -- Chapter 5. Discretization of Optimal Control Problems -- Chapter 6. Real-Time Control -- Chapter 7. Mixed-Integer Optimal Control -- Chapter 8. Function Space Methods -- Bibliography -- Index |
| author_facet |
Gerdts, Matthias, Gerdts, Matthias, Gerdts, Matthias, Gerdts, Matthias, |
| author_variant |
m g mg m g mg |
| author_role |
VerfasserIn VerfasserIn |
| author2 |
Gerdts, Matthias, Gerdts, Matthias, |
| author2_variant |
m g mg m g mg |
| author2_role |
MitwirkendeR MitwirkendeR |
| author_sort |
Gerdts, Matthias, |
| title |
Optimal Control of ODEs and DAEs / |
| title_full |
Optimal Control of ODEs and DAEs / Matthias Gerdts. |
| title_fullStr |
Optimal Control of ODEs and DAEs / Matthias Gerdts. |
| title_full_unstemmed |
Optimal Control of ODEs and DAEs / Matthias Gerdts. |
| title_auth |
Optimal Control of ODEs and DAEs / |
| title_alt |
Frontmatter -- Preface -- Contents -- Chapter 1. Introduction -- Chapter 2. Infinite Optimization Problems -- Chapter 3. Local Minimum Principles -- Chapter 4. Discretization Methods for ODEs and DAEs -- Chapter 5. Discretization of Optimal Control Problems -- Chapter 6. Real-Time Control -- Chapter 7. Mixed-Integer Optimal Control -- Chapter 8. Function Space Methods -- Bibliography -- Index |
| title_new |
Optimal Control of ODEs and DAEs / |
| title_sort |
optimal control of odes and daes / |
| series |
De Gruyter Textbook |
| series2 |
De Gruyter Textbook |
| publisher |
De Gruyter, |
| publishDate |
2011 |
| physical |
1 online resource (458 p.) |
| contents |
Frontmatter -- Preface -- Contents -- Chapter 1. Introduction -- Chapter 2. Infinite Optimization Problems -- Chapter 3. Local Minimum Principles -- Chapter 4. Discretization Methods for ODEs and DAEs -- Chapter 5. Discretization of Optimal Control Problems -- Chapter 6. Real-Time Control -- Chapter 7. Mixed-Integer Optimal Control -- Chapter 8. Function Space Methods -- Bibliography -- Index |
| isbn |
9783110249996 9783110238570 9783110238471 9783110637205 9783110261189 9783110261233 9783110261202 9783110249958 |
| callnumber-first |
Q - Science |
| callnumber-subject |
QA - Mathematics |
| callnumber-label |
QA402 |
| callnumber-sort |
QA 3402.3 G444 42012 |
| url |
https://doi.org/10.1515/9783110249996 https://www.degruyter.com/isbn/9783110249996 https://www.degruyter.com/document/cover/isbn/9783110249996/original |
| illustrated |
Not Illustrated |
| dewey-hundreds |
500 - Science |
| dewey-tens |
510 - Mathematics |
| dewey-ones |
515 - Analysis |
| dewey-full |
515/.642 |
| dewey-sort |
3515 3642 |
| dewey-raw |
515/.642 |
| dewey-search |
515/.642 |
| doi_str_mv |
10.1515/9783110249996 |
| oclc_num |
840446283 |
| work_keys_str_mv |
AT gerdtsmatthias optimalcontrolofodesanddaes |
| status_str |
n |
| ids_txt_mv |
(DE-B1597)113891 (OCoLC)840446283 |
| carrierType_str_mv |
cr |
| hierarchy_parent_title |
Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 Title is part of eBook package: De Gruyter DGBA Backlist Mathematics 2000-2014 (EN) Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014 Title is part of eBook package: De Gruyter E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2011 Title is part of eBook package: De Gruyter E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2011 Title is part of eBook package: De Gruyter E-BOOK PAKET SCIENCE TECHNOLOGY AND MEDICINE 2011 |
| is_hierarchy_title |
Optimal Control of ODEs and DAEs / |
| container_title |
Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 |
| author2_original_writing_str_mv |
noLinkedField noLinkedField |
| _version_ |
1770177470865080320 |
| fullrecord |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>05025nam a22009135i 4500</leader><controlfield tag="001">9783110249996</controlfield><controlfield tag="003">DE-B1597</controlfield><controlfield tag="005">20211129102213.0</controlfield><controlfield tag="006">m|||||o||d||||||||</controlfield><controlfield tag="007">cr || ||||||||</controlfield><controlfield tag="008">211129t20112012gw fo d z eng d</controlfield><datafield tag="019" ind1=" " ind2=" "><subfield code="a">(OCoLC)1013941619</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783110249996</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1515/9783110249996</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-B1597)113891</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)840446283</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-B1597</subfield><subfield code="b">eng</subfield><subfield code="c">DE-B1597</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="050" ind1=" " ind2="4"><subfield code="a">QA402.3</subfield><subfield code="b">.G444 2012</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT002040</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">515/.642</subfield><subfield code="2">23</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Gerdts, Matthias, </subfield><subfield code="e">author.</subfield><subfield code="4">aut</subfield><subfield code="4">http://id.loc.gov/vocabulary/relators/aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Optimal Control of ODEs and DAEs /</subfield><subfield code="c">Matthias Gerdts.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin ;</subfield><subfield code="a">Boston : </subfield><subfield code="b">De Gruyter, </subfield><subfield code="c">[2011]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">©2012</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (458 p.)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="347" ind1=" " ind2=" "><subfield code="a">text file</subfield><subfield code="b">PDF</subfield><subfield code="2">rda</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">De Gruyter Textbook</subfield></datafield><datafield tag="505" ind1="0" ind2="0"><subfield code="t">Frontmatter -- </subfield><subfield code="t">Preface -- </subfield><subfield code="t">Contents -- </subfield><subfield code="t">Chapter 1. Introduction -- </subfield><subfield code="t">Chapter 2. Infinite Optimization Problems -- </subfield><subfield code="t">Chapter 3. Local Minimum Principles -- </subfield><subfield code="t">Chapter 4. Discretization Methods for ODEs and DAEs -- </subfield><subfield code="t">Chapter 5. Discretization of Optimal Control Problems -- </subfield><subfield code="t">Chapter 6. Real-Time Control -- </subfield><subfield code="t">Chapter 7. Mixed-Integer Optimal Control -- </subfield><subfield code="t">Chapter 8. Function Space Methods -- </subfield><subfield code="t">Bibliography -- </subfield><subfield code="t">Index</subfield></datafield><datafield tag="506" ind1="0" ind2=" "><subfield code="a">restricted access</subfield><subfield code="u">http://purl.org/coar/access_right/c_16ec</subfield><subfield code="f">online access with authorization</subfield><subfield code="2">star</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">The intention of this textbook is to provide both, the theoretical and computational tools that are necessary to investigate and to solve optimal control problems with ordinary differential equations and differential-algebraic equations. An emphasis is placed on the interplay between the continuous optimal control problem, which typically is defined and analyzed in a Banach space setting, and discrete optimal control problems, which are obtained by discretization and lead to finite dimensional optimization problems. The book addresses primarily master and PhD students as well as researchers in applied mathematics, but also engineers or scientists with a good background in mathematics and interest in optimal control. The theoretical parts of the book require some knowledge of functional analysis, the numerically oriented parts require knowledge from linear algebra and numerical analysis. Examples are provided for illustration purposes.</subfield></datafield><datafield tag="538" ind1=" " ind2=" "><subfield code="a">Mode of access: Internet via World Wide Web.</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">In English.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Description based on online resource; title from PDF title page (publisher's Web site, viewed 29. Nov 2021)</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Control theory</subfield><subfield code="x">Mathematical models.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Mathematical optimization.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Control Theory.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Optimization.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Ordinary Differential Equations.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Algebra / Intermediate.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Control Theory.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">DAE.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">ODE.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Optimal.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Gerdts, Matthias, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">DGBA Backlist Complete English Language 2000-2014 PART1</subfield><subfield code="z">9783110238570</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">DGBA Backlist Mathematics 2000-2014 (EN)</subfield><subfield code="z">9783110238471</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">DGBA Mathematics - 2000 - 2014</subfield><subfield code="z">9783110637205</subfield><subfield code="o">ZDB-23-GMA</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2011</subfield><subfield code="z">9783110261189</subfield><subfield code="o">ZDB-23-DGG</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2011</subfield><subfield code="z">9783110261233</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">E-BOOK PAKET SCIENCE TECHNOLOGY AND MEDICINE 2011</subfield><subfield code="z">9783110261202</subfield><subfield code="o">ZDB-23-DMN</subfield></datafield><datafield tag="776" ind1="0" ind2=" "><subfield code="c">print</subfield><subfield code="z">9783110249958</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1515/9783110249996</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://www.degruyter.com/isbn/9783110249996</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="3">Cover</subfield><subfield code="u">https://www.degruyter.com/document/cover/isbn/9783110249996/original</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-023847-1 DGBA Backlist Mathematics 2000-2014 (EN)</subfield><subfield code="c">2000</subfield><subfield code="d">2014</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-023857-0 DGBA Backlist Complete English Language 2000-2014 PART1</subfield><subfield code="c">2000</subfield><subfield code="d">2014</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-026123-3 E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2011</subfield><subfield code="b">2011</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_BACKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_CL_MTPY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_DGALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EBACKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EBKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_ECL_MTPY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EEBKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_ESTMALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_STMALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV-deGruyter-alles</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA12STME</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA13ENGE</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA18STMEE</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA5EBK</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-23-DGG</subfield><subfield code="b">2011</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-23-DMN</subfield><subfield code="b">2011</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-23-GMA</subfield><subfield code="c">2000</subfield><subfield code="d">2014</subfield></datafield></record></collection> |