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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| Superior document: | Title is part of eBook package: De Gruyter DG OWV ebook Paket Lehrbücher Technik und Informatik 2023 |
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| Place / Publishing House: | München ;, Wien : : De Gruyter Oldenbourg, , [2023] ©2024 |
| Year of Publication: | 2023 |
| Edition: | 2. rev. and exten. edition |
| Language: | English |
| Series: | De Gruyter Textbook
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| Online Access: | |
| Physical Description: | 1 online resource (X, 474 p.) |
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| 100 | 1 | |a Gerdts, Matthias, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Optimal Control of ODEs and DAEs / |c Matthias Gerdts. |
| 250 | |a 2. rev. and exten. edition | ||
| 264 | 1 | |a München ; |a Wien : |b De Gruyter Oldenbourg, |c [2023] | |
| 264 | 4 | |c ©2024 | |
| 300 | |a 1 online resource (X, 474 p.) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 0 | |a De Gruyter Textbook | |
| 505 | 0 | 0 | |t Frontmatter -- |t Preface -- |t Contents -- |t 1 Introduction -- |t 2 Infinite optimization problems -- |t 3 Local minimum principles -- |t 4 Discretization methods for ODEs and DAEs -- |t 5 Discretization of optimal control problems -- |t 6 Real-time control -- |t 7 Mixed-integer optimal control -- |t 8 Function space methods -- |t Bibliography -- |t Index |
| 506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
| 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. | ||
| 530 | |a Issued also in print. | ||
| 538 | |a Mode of access: Internet via World Wide Web. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 02. Jun 2024) | |
| 650 | 0 | |a Control theory |x Mathematical models. | |
| 650 | 0 | |a Mathematical optimization. | |
| 650 | 4 | |a Bahnplanungsmethoden. | |
| 650 | 4 | |a Gewöhnliche Differentialgleichungen. | |
| 650 | 4 | |a Kontrolltheorie. | |
| 650 | 4 | |a Numerische Methoden. | |
| 650 | 4 | |a Optimalitätsbedingungen. | |
| 650 | 4 | |a Optimierung dynamischer Systeme. | |
| 650 | 7 | |a Technology & Engineering / General. |2 bisacsh | |
| 653 | |a . | ||
| 653 | |a Control Theory. | ||
| 653 | |a Numerical Methods. | ||
| 653 | |a Optimality Conditions. | ||
| 653 | |a Optimization of Dynamic Systems. | ||
| 653 | |a Ordinary Differential Equations. | ||
| 653 | |a Path Planning Techniques. | ||
| 700 | 1 | |a Gerdts, Matthias, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DG OWV ebook Paket Lehrbücher Technik und Informatik 2023 |z 9783111318929 |o ZDB-23-OTI |
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| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE COMPLETE 2023 English |z 9783111319292 |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE COMPLETE 2023 |z 9783111318912 |o ZDB-23-DGG |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE Engineering, Computer Sciences 2023 English |z 9783111319124 |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE Engineering, Computer Sciences 2023 |z 9783111318165 |o ZDB-23-DEI |
| 776 | 0 | |c EPUB |z 9783110797930 | |
| 776 | 0 | |c print |z 9783110797695 | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/9783110797893 |
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