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Titlebook: Stochastic Linear-Quadratic Optimal Control Theory: Open-Loop and Closed-Loop Solutions; Jingrui Sun,Jiongmin Yong Book 2020 The Author(s)

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發(fā)表于 2025-3-21 16:38:16 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Stochastic Linear-Quadratic Optimal Control Theory: Open-Loop and Closed-Loop Solutions
編輯Jingrui Sun,Jiongmin Yong
視頻videohttp://file.papertrans.cn/878/877987/877987.mp4
概述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 easil
叢書名稱SpringerBriefs in Mathematics
圖書封面Titlebook: Stochastic Linear-Quadratic Optimal Control Theory: Open-Loop and Closed-Loop Solutions;  Jingrui Sun,Jiongmin Yong Book 2020 The Author(s)
描述.?. .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..
出版日期Book 2020
關(guān)鍵詞Linear-quadratic optimal control; Diffenrential Riccati equation; Open-loop; Closed-loop; Algebraic Ricc
版次1
doihttps://doi.org/10.1007/978-3-030-20922-3
isbn_softcover978-3-030-20921-6
isbn_ebook978-3-030-20922-3Series ISSN 2191-8198 Series E-ISSN 2191-8201
issn_series 2191-8198
copyrightThe Author(s), under exclusive license to Springer Nature Switzerland AG 2020
The information of publication is updating

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發(fā)表于 2025-3-21 21:25:02 | 只看該作者
Introduction,ic problems is briey reviewed and some classical results for deterministic linear-quadratic problems are collected. As an abstract framework for studying the linear-quadratic problem, the optimization problem for quadratic functionals in a Hilbert space is also discussed.
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,Linear-Quadratic Optimal Controls in?Infinite Horizons,n-trivial in this case. To tackle this issue, the notion of .-stabilizability is introduced. The existence of an admissible control for each initial state turns out to be equivalent to the .-stabilizability of the control system, which in turn is equivalent to the existence of a positive solution to
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978-3-030-20921-6The Author(s), under exclusive license to Springer Nature Switzerland AG 2020
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Stochastic Linear-Quadratic Optimal Control Theory: Open-Loop and Closed-Loop Solutions978-3-030-20922-3Series ISSN 2191-8198 Series E-ISSN 2191-8201
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