Introduction to Optimal Control Theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1982
|
| Schriftenreihe: | Undergraduate Texts in Mathematics
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This monograph is an introduction to optimal control theory for systems governed by vector ordinary differential equations. It is not intended as a state-of-the-art handbook for researchers. We have tried to keep two types of reader in mind: (1) mathematicians, graduate students, and advanced undergraduates in mathematics who want a concise introduction to a field which contains nontrivial interesting applications of mathematics (for example, weak convergence, convexity, and the theory of ordinary differential equations); (2) economists, applied scientists, and engineers who want to understand some of the mathematical foundations. of optimal control theory. In general, we have emphasized motivation and explanation, avoiding the "definition-axiom-theorem-proof" approach. We make use of a large number of examples, especially one simple canonical example which we carry through the entire book. In proving theorems, we often just prove the simplest case, then state the more general results which can be proved. Many of the more difficult topics are discussed in the "Notes" sections at the end of chapters and several major proofs are in the Appendices. We feel that a solid understanding of basic facts is best attained by at first avoiding excessive generality. We have not tried to give an exhaustive list of references, preferring to refer the reader to existing books or papers with extensive bibliographies. References are given by author's name and the year of publication, e.g., Waltman [1974] |
| Beschreibung: | 1 Online-Ressource (XIV, 168 p) |
| ISBN: | 9781461256717 9781461256731 |
| ISSN: | 0172-6056 |
| DOI: | 10.1007/978-1-4612-5671-7 |
Internformat
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Datensatz im Suchindex
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| any_adam_object | |
| author | Macki, Jack |
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| author_sort | Macki, Jack |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-5671-7 |
| format | Electronic eBook |
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| isbn | 9781461256717 9781461256731 |
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| spelling | Macki, Jack Verfasser aut Introduction to Optimal Control Theory by Jack Macki, Aaron Strauss New York, NY Springer New York 1982 1 Online-Ressource (XIV, 168 p) txt rdacontent c rdamedia cr rdacarrier Undergraduate Texts in Mathematics 0172-6056 This monograph is an introduction to optimal control theory for systems governed by vector ordinary differential equations. It is not intended as a state-of-the-art handbook for researchers. We have tried to keep two types of reader in mind: (1) mathematicians, graduate students, and advanced undergraduates in mathematics who want a concise introduction to a field which contains nontrivial interesting applications of mathematics (for example, weak convergence, convexity, and the theory of ordinary differential equations); (2) economists, applied scientists, and engineers who want to understand some of the mathematical foundations. of optimal control theory. In general, we have emphasized motivation and explanation, avoiding the "definition-axiom-theorem-proof" approach. We make use of a large number of examples, especially one simple canonical example which we carry through the entire book. In proving theorems, we often just prove the simplest case, then state the more general results which can be proved. Many of the more difficult topics are discussed in the "Notes" sections at the end of chapters and several major proofs are in the Appendices. We feel that a solid understanding of basic facts is best attained by at first avoiding excessive generality. We have not tried to give an exhaustive list of references, preferring to refer the reader to existing books or papers with extensive bibliographies. References are given by author's name and the year of publication, e.g., Waltman [1974] Mathematics Systems theory Mathematical optimization Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Mathematik Kontrolltheorie (DE-588)4032317-1 gnd rswk-swf Optimale Kontrolle (DE-588)4121428-6 gnd rswk-swf Optimierung (DE-588)4043664-0 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content Optimierung (DE-588)4043664-0 s Kontrolltheorie (DE-588)4032317-1 s 2\p DE-604 Optimale Kontrolle (DE-588)4121428-6 s 3\p DE-604 Strauss, Aaron Sonstige oth https://doi.org/10.1007/978-1-4612-5671-7 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Macki, Jack Introduction to Optimal Control Theory Mathematics Systems theory Mathematical optimization Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Mathematik Kontrolltheorie (DE-588)4032317-1 gnd Optimale Kontrolle (DE-588)4121428-6 gnd Optimierung (DE-588)4043664-0 gnd |
| subject_GND | (DE-588)4032317-1 (DE-588)4121428-6 (DE-588)4043664-0 (DE-588)4151278-9 |
| title | Introduction to Optimal Control Theory |
| title_auth | Introduction to Optimal Control Theory |
| title_exact_search | Introduction to Optimal Control Theory |
| title_full | Introduction to Optimal Control Theory by Jack Macki, Aaron Strauss |
| title_fullStr | Introduction to Optimal Control Theory by Jack Macki, Aaron Strauss |
| title_full_unstemmed | Introduction to Optimal Control Theory by Jack Macki, Aaron Strauss |
| title_short | Introduction to Optimal Control Theory |
| title_sort | introduction to optimal control theory |
| topic | Mathematics Systems theory Mathematical optimization Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Mathematik Kontrolltheorie (DE-588)4032317-1 gnd Optimale Kontrolle (DE-588)4121428-6 gnd Optimierung (DE-588)4043664-0 gnd |
| topic_facet | Mathematics Systems theory Mathematical optimization Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Mathematik Kontrolltheorie Optimale Kontrolle Optimierung Einführung |
| url | https://doi.org/10.1007/978-1-4612-5671-7 |
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