Optimal control of ODEs and DAEs:
Ordinary differential equations (ODEs) and differential-algebraic equations (DAEs) are widely used to model control systems in engineering, natural sciences, and economy. Optimal control plays a central role in optimizing such systems and to operate them effi ciently and safely. The intention of thi...
Gespeichert in:
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
München ; Wien
De Gruyter Oldenbourg
[2023]
|
| Ausgabe: | 2. rev. and exten. edition |
| Schriftenreihe: | De Gruyter Textbook
|
| Schlagworte: | |
| Online-Zugang: | DE-1043 DE-1046 DE-858 DE-573 DE-898 DE-859 DE-860 DE-91 DE-706 DE-739 URL des Erstveröffentlichers |
| Zusammenfassung: | Ordinary differential equations (ODEs) and differential-algebraic equations (DAEs) are widely used to model control systems in engineering, natural sciences, and economy. Optimal control plays a central role in optimizing such systems and to operate them effi ciently and safely. 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 ODEs and DAEs. An emphasis is placed on the interplay between the optimal control problem, which typically is defi ned and analyzed in a Banach space setting, and discretizations thereof, which lead to finite dimensional optimization problems. The theoretical parts of the book require some knowledge of functional analysis, the numerically oriented parts require knowledge from linear algebra and numerical analysis. Practical examples are provided throughout the book for illustration purposes. 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. The book serves as a reference in research and teaching and hopefully helps to advance the state-of-the-art in optimal control |
| Beschreibung: | 1 Online-Ressource (X, 474 Seiten) |
| ISBN: | 9783110797893 |
| DOI: | 10.1515/9783110797893 |
Internformat
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| 520 | |a Ordinary differential equations (ODEs) and differential-algebraic equations (DAEs) are widely used to model control systems in engineering, natural sciences, and economy. Optimal control plays a central role in optimizing such systems and to operate them effi ciently and safely. 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 ODEs and DAEs. An emphasis is placed on the interplay between the optimal control problem, which typically is defi ned and analyzed in a Banach space setting, and discretizations thereof, which lead to finite dimensional optimization problems. The theoretical parts of the book require some knowledge of functional analysis, the numerically oriented parts require knowledge from linear algebra and numerical analysis. Practical examples are provided throughout the book for illustration purposes. 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. The book serves as a reference in research and teaching and hopefully helps to advance the state-of-the-art in optimal control | ||
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| discipline | Technik Informatik |
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| edition | 2. rev. and exten. edition |
| format | Electronic eBook |
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| id | DE-604.BV049580979 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T23:32:02Z |
| indexdate | 2025-02-19T17:37:31Z |
| institution | BVB |
| isbn | 9783110797893 |
| language | English |
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| spelling | Gerdts, Matthias Verfasser (DE-588)1013286952 aut Optimal control of ODEs and DAEs Matthias Gerdts 2. rev. and exten. edition München ; Wien De Gruyter Oldenbourg [2023] 2024 1 Online-Ressource (X, 474 Seiten) txt rdacontent c rdamedia cr rdacarrier De Gruyter Textbook Ordinary differential equations (ODEs) and differential-algebraic equations (DAEs) are widely used to model control systems in engineering, natural sciences, and economy. Optimal control plays a central role in optimizing such systems and to operate them effi ciently and safely. 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 ODEs and DAEs. An emphasis is placed on the interplay between the optimal control problem, which typically is defi ned and analyzed in a Banach space setting, and discretizations thereof, which lead to finite dimensional optimization problems. The theoretical parts of the book require some knowledge of functional analysis, the numerically oriented parts require knowledge from linear algebra and numerical analysis. Practical examples are provided throughout the book for illustration purposes. 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. The book serves as a reference in research and teaching and hopefully helps to advance the state-of-the-art in optimal control Bahnplanungsmethoden Gewöhnliche Differentialgleichungen Kontrolltheorie Numerische Methoden Optimalitätsbedingungen Optimierung dynamischer Systeme Technology & Engineering / General bisacsh Differential-algebraisches Gleichungssystem (DE-588)4229517-8 gnd rswk-swf Optimale Kontrolle (DE-588)4121428-6 gnd rswk-swf System von gewöhnlichen Differentialgleichungen (DE-588)4116671-1 gnd rswk-swf Optimale Kontrolle (DE-588)4121428-6 s System von gewöhnlichen Differentialgleichungen (DE-588)4116671-1 s Differential-algebraisches Gleichungssystem (DE-588)4229517-8 s DE-604 Erscheint auch als Druck-Ausgabe 9783110797695 https://doi.org/10.1515/9783110797893?locatt=mode:legacy Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Gerdts, Matthias Optimal control of ODEs and DAEs Bahnplanungsmethoden Gewöhnliche Differentialgleichungen Kontrolltheorie Numerische Methoden Optimalitätsbedingungen Optimierung dynamischer Systeme Technology & Engineering / General bisacsh Differential-algebraisches Gleichungssystem (DE-588)4229517-8 gnd Optimale Kontrolle (DE-588)4121428-6 gnd System von gewöhnlichen Differentialgleichungen (DE-588)4116671-1 gnd |
| subject_GND | (DE-588)4229517-8 (DE-588)4121428-6 (DE-588)4116671-1 |
| title | Optimal control of ODEs and DAEs |
| title_auth | Optimal control of ODEs and DAEs |
| title_exact_search | Optimal control of ODEs and DAEs |
| title_exact_search_txtP | 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_short | Optimal control of ODEs and DAEs |
| title_sort | optimal control of odes and daes |
| topic | Bahnplanungsmethoden Gewöhnliche Differentialgleichungen Kontrolltheorie Numerische Methoden Optimalitätsbedingungen Optimierung dynamischer Systeme Technology & Engineering / General bisacsh Differential-algebraisches Gleichungssystem (DE-588)4229517-8 gnd Optimale Kontrolle (DE-588)4121428-6 gnd System von gewöhnlichen Differentialgleichungen (DE-588)4116671-1 gnd |
| topic_facet | Bahnplanungsmethoden Gewöhnliche Differentialgleichungen Kontrolltheorie Numerische Methoden Optimalitätsbedingungen Optimierung dynamischer Systeme Technology & Engineering / General Differential-algebraisches Gleichungssystem Optimale Kontrolle System von gewöhnlichen Differentialgleichungen |
| url | https://doi.org/10.1515/9783110797893?locatt=mode:legacy |
| work_keys_str_mv | AT gerdtsmatthias optimalcontrolofodesanddaes |