| Tag |
First Indicator |
Second Indicator |
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| LEADER |
00000cam a2200000 i 4500 |
| 001 |
in00005644721 |
| 008 |
241219s2025 paua b 101 0 eng |
| 005 |
20250730135416.0 |
| 010 |
|
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|a 2024046264
|
| 040 |
|
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|a DLC
|e rda
|c DLC
|d TXA
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| 020 |
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|a 9781611978254
|q (paperback)
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| 020 |
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|a 1611978254
|q (paperback)
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| 020 |
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|z 9781611978261
|q (ebook)
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| 035 |
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|a (OCoLC)1481784574
|
| 050 |
0 |
0 |
|a QA402.3
|b .H268 2025
|
| 082 |
0 |
0 |
|a 519.6
|2 23/eng/20241220
|
| 100 |
1 |
|
|a Hager, William W.,
|d 1948-
|e author.
|
| 245 |
1 |
0 |
|a Computational methods in optimal control :
|b theory and practice /
|c William W. Hager, University of Florida, Gainesville, Florida.
|
| 264 |
|
1 |
|a Philadelphia :
|b Society for Industrial and Applied Mathematics,
|c [2025].
|
| 264 |
|
4 |
|c ©2025.
|
| 300 |
|
|
|a xiii, 160 pages :
|b illustrations (some color) ;
|c 26 cm.
|
| 336 |
|
|
|a text
|b txt
|2 rdacontent
|
| 337 |
|
|
|a unmediated
|b n
|2 rdamedia
|
| 338 |
|
|
|a volume
|b nc
|2 rdacarrier
|
| 490 |
1 |
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|a CBMS-NSF regional conference series in applied mathematics ;
|v 100
|
| 500 |
|
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|a "This book is based on a series of ten lectures given at an NSF-CBMS conference entitled Computational Methods in Optimal Control. The conference took place between July 23 and July 27, 2018, at Jackson State University"--page xiii.
|
| 504 |
|
|
|a Includes bibliographical references (pages 155-158) and index.
|
| 505 |
0 |
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|a 1. Introduction -- 2. Convergence theory -- 3. Truncation errors in Runge-Kutta methods -- 4. Convergence theory for Runge-Kutta methods -- 5. Orthogonal collocation schemes -- 6. Endpoint constraints and discontinuous controls -- Appendix A. Minimum principle.
|
| 520 |
|
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|a Using material from many different sources in a systematic and unified way, this self-contained book provides both rigorous mathematical theory and practical numerical insights while developing a framework for determining the convergence rate of discretizations to optimal control problems. Elements of the framework include the reference point, the truncation error, and a stability theory for the linearized first-order optimality conditions. Within this framework, the discretized control problem has a stationary point whose distance to the reference point is bounded in terms of the truncation error. The theory applies to a broad range of discretizations and provides completely new insights into the convergence theory for discrete approximations in optimal control, including the relationship between orthogonal collocation and Runge-Kutta methods. Throughout the book, derivatives associated with the discretized control problem are expressed in terms of a back-propagated costate. In particular, the objective derivative of a bang-bang or singular control problem with respect to a switch point of the control are obtained, which leads to the efficient solution of a class of nonsmooth control problems using a gradient-based optimizer.
|
| 650 |
|
0 |
|a Control theory.
|
| 650 |
|
0 |
|a Mathematical optimization.
|
| 830 |
|
0 |
|a CBMS-NSF regional conference series in applied mathematics ;
|v 100.
|
| 948 |
|
|
|a dmitchel 7/28/25 10.50.40
|
| 994 |
|
|
|a Z0
|b TXA
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| 999 |
f |
f |
|s 12816424-1660-494f-a2ca-fb27c0a10cde
|i c3594424-ce20-41a0-94e9-531dc34a0eb8
|t 0
|
| 952 |
f |
f |
|p newbook
|a Texas A&M University
|b College Station
|c Sterling C. Evans Library
|d Evans: New Book Shelves (1st floor)
|t 0
|e QA402.3 .H268 2025
|h Library of Congress classification
|i unmediated -- volume
|m A14852713404
|
| 998 |
f |
f |
|a QA402.3 .H268 2025
|t 0
|l Evans: Library Stacks
|