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Titlebook: Direct Methods in Control Problems; Peter Falb Textbook 2019 Springer Science+Business Media, LLC, part of Springer Nature 2019 Lévy proce

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發(fā)表于 2025-3-21 16:06:20 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Direct Methods in Control Problems
編輯Peter Falb
視頻videohttp://file.papertrans.cn/281/280619/280619.mp4
概述Fills a gap in literature, covering direct methods applications in the control and systems context; takes into account recent significant advances in computing; most other books cover indirect methods
圖書封面Titlebook: Direct Methods in Control Problems;  Peter Falb Textbook 2019 Springer Science+Business Media, LLC, part of Springer Nature 2019 Lévy proce
描述.The primary focus of this book is on explicating the direct method approach. Historically, direct methods have not been fully exploited in control problems. The key is constructing convergent minimizing families. Integration methods (for example the gradient method) and representation methods (such as the Ritz-Galerkin and Finite Element methods) are examined in this text in?an abstract (with concrete examples) functional analytic way. The aim is to consider direct methods from a unified general point of view and to provide a stimulus for future research. Explicitly, implicitly and by example, potential areas of?research interest?are indicated..The book is a suitable reference for graduate students, researchers, applied mathematicians, and control engineers. Some of the material is of independent mathematical interest. The work may be used as a text for a graduate course or seminar on direct methods in control. A degree of mathematical sophistication and some knowledge of control theory is required..
出版日期Textbook 2019
關(guān)鍵詞Lévy processes; deterministic systems; direct methods; finite element methods; gradient method; integrati
版次1
doihttps://doi.org/10.1007/978-0-8176-4723-0
isbn_ebook978-0-8176-4723-0
copyrightSpringer Science+Business Media, LLC, part of Springer Nature 2019
The information of publication is updating

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https://doi.org/10.1007/978-3-662-63616-9We shall without further ado make the following assumptions:
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發(fā)表于 2025-3-22 13:40:53 | 只看該作者
https://doi.org/10.1007/978-3-662-63616-9We often consider control problems for systems defined by “differential” equations (ordinary, partial or stochastic) and we require an appropriate notion of differentiation and what constitutes a solution.
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發(fā)表于 2025-3-22 19:51:01 | 只看該作者
https://doi.org/10.1007/978-3-662-63616-9. We want to develop such an inverse function theorem for Banach spaces.
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Claudia Voelcker-Rehage,Dieter F. KutzWe saw in Chapter 2 that these problems are equivalent in that . is a solution of 6.3 if and only if . is a solution of 6.4.
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