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Stochastic Linear-Quadratic Optimal Control Theory: Open-Loop and Closed-Loop Solutions
Taschenbuch von Jiongmin Yong (u. a.)
Sprache: Englisch

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Beschreibung
This book gathers the most essential results, including recent ones, on linear-quadratic optimal control problems, which represent an important aspect of stochastic control. It presents the results in the context of finite and infinite horizon problems, and discusses a number of new and interesting issues. Further, it precisely identifies, for the first time, the interconnections between three well-known, relevant issues ¿ the existence of optimal controls, solvability of the optimality system, and solvability of the associated Riccati equation. Although the content is largely self-contained, readers should have a basic grasp of linear algebra, functional analysis and stochastic ordinary differential equations. The book is mainly intended for senior undergraduate and graduate students majoring in applied mathematics who are interested in stochastic control theory. However, it will also appeal to researchers in other related areas, such as engineering, management, finance/economics and the social sciences.
This book gathers the most essential results, including recent ones, on linear-quadratic optimal control problems, which represent an important aspect of stochastic control. It presents the results in the context of finite and infinite horizon problems, and discusses a number of new and interesting issues. Further, it precisely identifies, for the first time, the interconnections between three well-known, relevant issues ¿ the existence of optimal controls, solvability of the optimality system, and solvability of the associated Riccati equation. Although the content is largely self-contained, readers should have a basic grasp of linear algebra, functional analysis and stochastic ordinary differential equations. The book is mainly intended for senior undergraduate and graduate students majoring in applied mathematics who are interested in stochastic control theory. However, it will also appeal to researchers in other related areas, such as engineering, management, finance/economics and the social sciences.
Über den Autor

Jingrui Sun received his PhD in Mathematics from the University of Science and Technology of China in 2015. From 2015 to 2017, he was a Postdoctoral Fellow at the Hong Kong Polytechnic University and then a Research Fellow at the National University of Singapore. From 2017 to 2018, he was a Visiting Assistant Professor at the University of Central Florida, USA. Since the spring of 2019, he has been an Assistant Professor at the Southern University of Science and Technology, China. Dr. Sun has broad interests in the area of control theory and its applications. Aside from his primary research on stochastic optimal control and differential games, he is exploring forward and backward stochastic differential equations, stochastic analysis, and mathematical finance.

Jiongmin Yong received his PhD from Purdue University in 1986 and is currently a Professor of Mathematics at the University of Central Florida, USA. His main research interests include stochastic control, stochastic differential equations, and optimal control of partial differential equations. Professor Yong has co-authored the following influential books: "Stochastic Control: Hamiltonian Systems and HJB Equations" (with X. Y. Zhou, Springer 1999), "Forward-Backward Stochastic Differential Equations and Their Applications" (with J. Ma, Springer 1999), and "Optimal Control Theory for Infinite-Dimensional Systems" (with X. Li, Birkhauser 1995). His current interests include time-inconsistent stochastic control problems.
Zusammenfassung

Provides a detailed overview of stochastic control theory

Largely self-contained, allowing readers to pursue independent study

Includes several explicitly worked-out examples, helping readers to easily understand the theory discussed

Inhaltsverzeichnis

1 introduction.- 2 Linear-Quadratic Optimal Controls in Finite Horizons.- 3 Linear-Quadratic Optimal Controls in Infinite Horizons.- 4 Linear Algebra and BSDEs.

Details
Erscheinungsjahr: 2020
Fachbereich: Allgemeines
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xiv
120 S.
2 s/w Illustr.
1 farbige Illustr.
120 p. 3 illus.
1 illus. in color.
ISBN-13: 9783030209216
ISBN-10: 3030209210
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Yong, Jiongmin
Sun, Jingrui
Auflage: 1st edition 2020
Hersteller: Springer International Publishing
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 8 mm
Von/Mit: Jiongmin Yong (u. a.)
Erscheinungsdatum: 30.06.2020
Gewicht: 0,219 kg
Artikel-ID: 116350231
Über den Autor

Jingrui Sun received his PhD in Mathematics from the University of Science and Technology of China in 2015. From 2015 to 2017, he was a Postdoctoral Fellow at the Hong Kong Polytechnic University and then a Research Fellow at the National University of Singapore. From 2017 to 2018, he was a Visiting Assistant Professor at the University of Central Florida, USA. Since the spring of 2019, he has been an Assistant Professor at the Southern University of Science and Technology, China. Dr. Sun has broad interests in the area of control theory and its applications. Aside from his primary research on stochastic optimal control and differential games, he is exploring forward and backward stochastic differential equations, stochastic analysis, and mathematical finance.

Jiongmin Yong received his PhD from Purdue University in 1986 and is currently a Professor of Mathematics at the University of Central Florida, USA. His main research interests include stochastic control, stochastic differential equations, and optimal control of partial differential equations. Professor Yong has co-authored the following influential books: "Stochastic Control: Hamiltonian Systems and HJB Equations" (with X. Y. Zhou, Springer 1999), "Forward-Backward Stochastic Differential Equations and Their Applications" (with J. Ma, Springer 1999), and "Optimal Control Theory for Infinite-Dimensional Systems" (with X. Li, Birkhauser 1995). His current interests include time-inconsistent stochastic control problems.
Zusammenfassung

Provides a detailed overview of stochastic control theory

Largely self-contained, allowing readers to pursue independent study

Includes several explicitly worked-out examples, helping readers to easily understand the theory discussed

Inhaltsverzeichnis

1 introduction.- 2 Linear-Quadratic Optimal Controls in Finite Horizons.- 3 Linear-Quadratic Optimal Controls in Infinite Horizons.- 4 Linear Algebra and BSDEs.

Details
Erscheinungsjahr: 2020
Fachbereich: Allgemeines
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xiv
120 S.
2 s/w Illustr.
1 farbige Illustr.
120 p. 3 illus.
1 illus. in color.
ISBN-13: 9783030209216
ISBN-10: 3030209210
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Yong, Jiongmin
Sun, Jingrui
Auflage: 1st edition 2020
Hersteller: Springer International Publishing
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 8 mm
Von/Mit: Jiongmin Yong (u. a.)
Erscheinungsdatum: 30.06.2020
Gewicht: 0,219 kg
Artikel-ID: 116350231
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