Stochastic linear-quadratic optimal control theory : open-loop and closed-loop solutions
By: Sun, Jingrui.
Contributor(s): Yong, Jiongmin.
Series: Springer briefs in mathematics. / edited by Nicola Bellomo ... [et al.].Publisher: Switzerland Springer 2020Description: xiv, 120p.ISBN: 9783030209216.Subject(s): Mathematical optimization | Mathematics philosophy | Probabilities | System theoryDDC classification: 516.642 | Su71s Summary: 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.| Item type | Current location | Collection | Call number | Status | Date due | Barcode | Item holds |
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PK Kelkar Library, IIT Kanpur | On Display | 516.642 Su71s (Browse shelf) | Available | A186651 |
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| 515.7 T871a Analysis and quantum groups | 515.7 W666f2 Functional analysis [2nd ed.] | 515.7222 B648s Spectral theory | 516.642 Su71s Stochastic linear-quadratic optimal control theory | 518 St49n Numerical analysis |
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.
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