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Titlebook: Ordinary Differential Equations; Analysis, Qualitativ Hartmut Logemann,Eugene P. Ryan Textbook 2014 Springer-Verlag London Ltd., part of Sp

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樓主
發(fā)表于 2025-3-21 17:35:52 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Ordinary Differential Equations
副標(biāo)題Analysis, Qualitativ
編輯Hartmut Logemann,Eugene P. Ryan
視頻videohttp://file.papertrans.cn/704/703676/703676.mp4
概述Provides a self-contained, rigorous and analytical treatment of initial-value problems for ordinary differential equations.Includes an introduction to mathematical control theory which sets this text
叢書名稱Springer Undergraduate Mathematics Series
圖書封面Titlebook: Ordinary Differential Equations; Analysis, Qualitativ Hartmut Logemann,Eugene P. Ryan Textbook 2014 Springer-Verlag London Ltd., part of Sp
描述.The book comprises a rigorous and self-contained treatment of initial-value problems for ordinary differential equations. It additionally develops the basics of control theory, which is a unique feature in current textbook literature..The following topics are particularly emphasised:.? existence, uniqueness and continuation of solutions,.? continuous dependence on initial data,.? flows,.? qualitative behaviour of solutions,.? limit sets,.? stability theory,.? invariance principles,.? introductory control theory,.? feedback and stabilization..The last two items cover classical control theoretic material such as linear control theory and absolute stability of nonlinear feedback systems. It also includes an introduction to the more recent concept of input-to-state stability..Only a basic grounding in linear algebra and analysis is assumed. .Ordinary Differential Equations. will be suitable for final year undergraduate students of mathematics and appropriate for beginning postgraduates in mathematics and in mathematically oriented engineering and science..
出版日期Textbook 2014
關(guān)鍵詞Control Theory; Feedback; Lyapunov Stability; Ordinary Differential Equations; Stability Theory
版次1
doihttps://doi.org/10.1007/978-1-4471-6398-5
isbn_softcover978-1-4471-6397-8
isbn_ebook978-1-4471-6398-5Series ISSN 1615-2085 Series E-ISSN 2197-4144
issn_series 1615-2085
copyrightSpringer-Verlag London Ltd., part of Springer Nature 2014
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 22:47:05 | 只看該作者
Linear Differential Equations,Systems of linear differential equations form the focus of our first line of investigation. In particular, we will develop a . of solutions of homogeneous initial-value problems of the form ., . under the assumption that . is piecewise continuous.
板凳
發(fā)表于 2025-3-22 02:37:37 | 只看該作者
Introduction to Linear Control Theory,In this chapter and with reference to Fig.?3.1, we consider linear systems with . (.) . and . (.) ..
地板
發(fā)表于 2025-3-22 05:30:34 | 只看該作者
Nonlinear Differential Equations,We now turn our attention to the initial-value problem for a nonlinear differential equation of the form .where . is an interval, . is a non-empty open subset of . and ..
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發(fā)表于 2025-3-22 11:50:53 | 只看該作者
Stability of Feedback Systems and Stabilization,By way of motivation, consider the linear one-dimensional controlled system .with real parameter a?>?0.
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Springer Undergraduate Mathematics Serieshttp://image.papertrans.cn/o/image/703676.jpg
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發(fā)表于 2025-3-23 04:50:04 | 只看該作者
https://doi.org/10.1007/978-1-4471-6398-5Control Theory; Feedback; Lyapunov Stability; Ordinary Differential Equations; Stability Theory
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發(fā)表于 2025-3-23 07:43:08 | 只看該作者
Hartmut Logemann,Eugene P. RyanProvides a self-contained, rigorous and analytical treatment of initial-value problems for ordinary differential equations.Includes an introduction to mathematical control theory which sets this text
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