| Titre : |
Applied and Computational Optimal Control : A Control Parametrization Approach |
| Type de document : |
document électronique |
| Auteurs : |
Kok Lay Teo, ; Bin Li, ; SpringerLink (Online service)  ; Changjun Yu, ; Volker Rehbock, |
| Editeur : |
Berlin ; Heidelberg (DEU) ; New York ; Bâle (CHE) : Springer |
| Année de publication : |
2021 |
| Collection : |
Springer Optimization and Its Applications, ISSN 1931-6828 num. 171  |
| Importance : |
XV, 574 p. 63 illus., 43 illus. in color |
| Présentation : |
online resource |
| ISBN/ISSN/EAN : |
978-3-030-69913-0 |
| Langues : |
Anglais (eng) |
| Tags : |
Mathematical optimization System theory Mathematical analysis Analysis (Mathematics) Optimization Systems Theory Control Analysis |
| Résumé : |
The aim of this book is to furnish the reader with a rigorous and detailed exposition of the concept of control parametrization and time scaling transformation. It presents computational solution techniques for a special class of constrained optimal control problems as well as applications to some practical examples. The book may be considered an extension of the 1991 monograph A Unified Computational Approach Optimal Control Problems, by K.L. Teo, C.J. Goh, and K.H. Wong. This publication discusses the development of new theory and computational methods for solving various optimal control problems numerically and in a unified fashion. To keep the book accessible and uniform, it includes those results developed by the authors, their students, and their past and present collaborators. A brief review of methods that are not covered in this exposition, is also included. Knowledge gained from this book may inspire advancement of new techniques to solve complex problems that arise in the future. This book is intended as reference for researchers in mathematics, engineering, and other sciences, graduate students and practitioners who apply optimal control methods in their work. It may be appropriate reading material for a graduate level seminar or as a text for a course in optimal control |
| Note de contenu : |
1. Introduction -- 2. Unconstrained Optimization Techniques -- 3. Constrained Mathematical Programming -- 4. Optimization Problems Subject to Continuous Inequality Constraints -- 5. Discrete Time Optimal Control Problems -- 6. Elements of Optimal Control Theory -- 7. Gradient Formulae for Optimal Parameter Selection Problems -- 8. Control Parameterization for Canonical Optimal Control Problems -- 9. Optimal Control Problems with State and Control Constraints.-10. Time-Lag Optimal Control Problems -- 11. Feedback Control -- 12. On Some Special Classes of Stochastic Optimal Control Problems -- A.1. Elements of Mathematical Analysis -- A.2 Global Optimization via Filled Function Approach. A.3. Elements of Probability Theory - References |
| Permalink : |
https://genes.bibli.fr/index.php?lvl=notice_display&id=165942 |
Applied and Computational Optimal Control : A Control Parametrization Approach [document électronique] / Kok Lay Teo, ; Bin Li, ; SpringerLink (Online service) ; Changjun Yu, ; Volker Rehbock, . - Berlin ; Heidelberg (DEU) ; New York ; Bâle (CHE) : Springer, 2021 . - XV, 574 p. 63 illus., 43 illus. in color : online resource. - ( Springer Optimization and Its Applications, ISSN 1931-6828; 171) . ISBN : 978-3-030-69913-0 Langues : Anglais ( eng)
| Tags : |
Mathematical optimization System theory Mathematical analysis Analysis (Mathematics) Optimization Systems Theory Control Analysis |
| Résumé : |
The aim of this book is to furnish the reader with a rigorous and detailed exposition of the concept of control parametrization and time scaling transformation. It presents computational solution techniques for a special class of constrained optimal control problems as well as applications to some practical examples. The book may be considered an extension of the 1991 monograph A Unified Computational Approach Optimal Control Problems, by K.L. Teo, C.J. Goh, and K.H. Wong. This publication discusses the development of new theory and computational methods for solving various optimal control problems numerically and in a unified fashion. To keep the book accessible and uniform, it includes those results developed by the authors, their students, and their past and present collaborators. A brief review of methods that are not covered in this exposition, is also included. Knowledge gained from this book may inspire advancement of new techniques to solve complex problems that arise in the future. This book is intended as reference for researchers in mathematics, engineering, and other sciences, graduate students and practitioners who apply optimal control methods in their work. It may be appropriate reading material for a graduate level seminar or as a text for a course in optimal control |
| Note de contenu : |
1. Introduction -- 2. Unconstrained Optimization Techniques -- 3. Constrained Mathematical Programming -- 4. Optimization Problems Subject to Continuous Inequality Constraints -- 5. Discrete Time Optimal Control Problems -- 6. Elements of Optimal Control Theory -- 7. Gradient Formulae for Optimal Parameter Selection Problems -- 8. Control Parameterization for Canonical Optimal Control Problems -- 9. Optimal Control Problems with State and Control Constraints.-10. Time-Lag Optimal Control Problems -- 11. Feedback Control -- 12. On Some Special Classes of Stochastic Optimal Control Problems -- A.1. Elements of Mathematical Analysis -- A.2 Global Optimization via Filled Function Approach. A.3. Elements of Probability Theory - References |
| Permalink : |
https://genes.bibli.fr/index.php?lvl=notice_display&id=165942 |
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