Optimal Control of ODEs and DAEs / / Matthias Gerdts.
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...
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| Place / Publishing House: | München ;, Wien : : De Gruyter Oldenbourg, , [2023] ©2024 |
| Bliain Foilsithe: | 2023 |
| Eagrán: | 2. rev. and exten. edition |
| Teanga: | English |
| Sraith: | De Gruyter Textbook
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| Rochtain Ar Líne: | |
| Cur Síos Fisiciúil: | 1 online resource (X, 474 p.) |
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Gerdts, Matthias, author. aut http://id.loc.gov/vocabulary/relators/aut Optimal Control of ODEs and DAEs / Matthias Gerdts. 2. rev. and exten. edition München ; Wien : De Gruyter Oldenbourg, [2023] ©2024 1 online resource (X, 474 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda De Gruyter Textbook Frontmatter -- Preface -- Contents -- 1 Introduction -- 2 Infinite optimization problems -- 3 Local minimum principles -- 4 Discretization methods for ODEs and DAEs -- 5 Discretization of optimal control problems -- 6 Real-time control -- 7 Mixed-integer optimal control -- 8 Function space methods -- Bibliography -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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. Issued also in print. 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 02. Jun 2024) Control theory Mathematical models. Mathematical optimization. Bahnplanungsmethoden. Gewöhnliche Differentialgleichungen. Kontrolltheorie. Numerische Methoden. Optimalitätsbedingungen. Optimierung dynamischer Systeme. Technology & Engineering / General. bisacsh . Control Theory. Numerical Methods. Optimality Conditions. Optimization of Dynamic Systems. Ordinary Differential Equations. Path Planning Techniques. Gerdts, Matthias, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Title is part of eBook package: De Gruyter DG OWV ebook Paket Lehrbücher Technik und Informatik 2023 9783111318929 ZDB-23-OTI Title is part of eBook package: De Gruyter DG Plus DeG Package 2024 Part 1 9783111332192 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2023 English 9783111319292 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2023 9783111318912 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE Engineering, Computer Sciences 2023 English 9783111319124 Title is part of eBook package: De Gruyter EBOOK PACKAGE Engineering, Computer Sciences 2023 9783111318165 ZDB-23-DEI EPUB 9783110797930 print 9783110797695 https://doi.org/10.1515/9783110797893 https://www.degruyter.com/isbn/9783110797893 Cover https://www.degruyter.com/document/cover/isbn/9783110797893/original |
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English |
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eBook |
| author |
Gerdts, Matthias, Gerdts, Matthias, |
| spellingShingle |
Gerdts, Matthias, Gerdts, Matthias, Optimal Control of ODEs and DAEs / De Gruyter Textbook Frontmatter -- Preface -- Contents -- 1 Introduction -- 2 Infinite optimization problems -- 3 Local minimum principles -- 4 Discretization methods for ODEs and DAEs -- 5 Discretization of optimal control problems -- 6 Real-time control -- 7 Mixed-integer optimal control -- 8 Function space methods -- Bibliography -- Index |
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Gerdts, Matthias, Gerdts, Matthias, Gerdts, Matthias, Gerdts, Matthias, |
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Gerdts, Matthias, Gerdts, Matthias, |
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MitwirkendeR MitwirkendeR |
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| 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 -- 1 Introduction -- 2 Infinite optimization problems -- 3 Local minimum principles -- 4 Discretization methods for ODEs and DAEs -- 5 Discretization of optimal control problems -- 6 Real-time control -- 7 Mixed-integer optimal control -- 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 Oldenbourg, |
| publishDate |
2023 |
| physical |
1 online resource (X, 474 p.) Issued also in print. |
| edition |
2. rev. and exten. edition |
| contents |
Frontmatter -- Preface -- Contents -- 1 Introduction -- 2 Infinite optimization problems -- 3 Local minimum principles -- 4 Discretization methods for ODEs and DAEs -- 5 Discretization of optimal control problems -- 6 Real-time control -- 7 Mixed-integer optimal control -- 8 Function space methods -- Bibliography -- Index |
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9783110797893 9783111318929 9783111332192 9783111319292 9783111318912 9783111319124 9783111318165 9783110797930 9783110797695 |
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Q - Science |
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QA - Mathematics |
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QA402 |
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QA 3402.3 G444 42024 |
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https://doi.org/10.1515/9783110797893 https://www.degruyter.com/isbn/9783110797893 https://www.degruyter.com/document/cover/isbn/9783110797893/original |
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Not Illustrated |
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500 - Science |
| dewey-tens |
510 - Mathematics |
| dewey-ones |
515 - Analysis |
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515/.642 |
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3515 3642 |
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515/.642 |
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515/.642 |
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