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Optimal Control
From Variations to Nanosatellites
Language:
English
Published/Copyright:
2023
About this book
This book may serve as a basis for students and teachers. The text should provide the reader with a quick overview of the basics for Optimal Control and the link with some important conceptes of applied mathematical, where an agent controls underlying dynamics to find the strategy optimizing some quantity. There are broad applications for optimal control across the natural and social sciences, and the finale to this text is an invitation to read current research on one such application. The balance of the text will prepare the reader to gain a solid understanding of the current research they read.
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Includes learning-by-doing activities (problems and lab activities) .
- Represents asimplified approach to the theory connecting historical roots to modern ideas.
- Contains research projects
Author / Editor information
Professor Levy obtained his Ph.D at the University of Washington. His research interests include optimization, variational analysis, and numerical methods. He enjoys teaching these subjects as well as multivariable calculus and differential equations.
Topics
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Frontmatter
I -
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Preface
VII -
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Acknowledgments
IX -
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Contents
XI -
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List of Tables
XV -
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List of Figures
XVII - Part I: Calculus of variations
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1 The brachistochrone
1 -
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2 Euler–Lagrange equation
11 -
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3 Dido and transversality
21 -
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4 Extremals versus minimizers
29 -
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5 Second-derivative test
32 -
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6 Strong second-derivative test
38 -
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7 Integral constraints
47 - Part II: Optimal control
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8 Discrete-time optimal control
55 -
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9 Continuous-time optimal control
63 -
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10 Multistate optimal control
69 -
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11 Nanosatellite
75 -
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12 Real-eigenvalue systems
80 -
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13 Controllability
83 -
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14 Complex-eigenvalue systems
89 -
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15 Controllability (complex eigenvalues)
91 -
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16 Control to target curve
97 -
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17 Singular controls
102 -
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18 Energy-optimal control
106 -
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19 Time & energy optimal control
109 -
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A Invitation to research
117 -
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B Solutions
121 -
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Bibliography
155 -
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Index
157
Publishing information
Pages and Images/Illustrations in book
eBook published on:
July 24, 2023
eBook ISBN:
9783111290157
Paperback published on:
July 24, 2023
Paperback ISBN:
9783111289830
Pages and Images/Illustrations in book
Front matter:
18
Main content:
158
Illustrations:
58
Tables:
3
Keywords for this book
Applied mathematics; optimization; differential equations; dynamical systems; integral functions
Audience(s) for this book
Advanced undergraduates or early graduate mathematics students who have had courses in calculus and differential equations.
Safety & product resources
- Manufacturer information:
- Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin - productsafety@degruyterbrill.com
