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Titlebook: Introduction to Mathematical Systems Theory; Discrete Time Linear Christiaan Heij,André C.M. Ran,Frederik van Schage Textbook 2021Latest ed

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发表于 2025-3-21 18:01:12 | 显示全部楼层 |阅读模式
书目名称Introduction to Mathematical Systems Theory
副标题Discrete Time Linear
编辑Christiaan Heij,André C.M. Ran,Frederik van Schage
视频videohttp://file.papertrans.cn/474/473878/473878.mp4
概述Treats the standard topics of introductory courses in linear systems and control theory.Provides exercises on SpringerLink.Grown out of more than fifteen years of lecturing
图书封面Titlebook: Introduction to Mathematical Systems Theory; Discrete Time Linear Christiaan Heij,André C.M. Ran,Frederik van Schage Textbook 2021Latest ed
描述This book provides an introduction to the theory of linear systems and control for students in business mathematics, econometrics, computer science, and engineering. The focus is on discrete time systems, which are the most relevant in business applications, as opposed to continuous time systems, requiring less mathematical preliminaries. The subjects treated are among the central topics of deterministic linear system theory: controllability, observability, realization theory, stability and stabilization by feedback, LQ-optimal control theory. Kalman filtering and LQC-control of stochastic systems are also discussed, as are modeling, time series analysis and model specification, along with model validation..This second edition has been updated and slightly expanded. In addition, supplementary material containing the exercises is now available on the Springer Link‘s book website..
出版日期Textbook 2021Latest edition
关键词calculus; linear algebra; Fourier; linear systems; control theory; realization theory; stabilization; stoch
版次2
doihttps://doi.org/10.1007/978-3-030-59654-5
isbn_softcover978-3-030-59652-1
isbn_ebook978-3-030-59654-5
copyrightSpringer Nature Switzerland AG 2021
The information of publication is updating

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https://doi.org/10.1007/978-3-030-59654-5calculus; linear algebra; Fourier; linear systems; control theory; realization theory; stabilization; stoch
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Stability,Input-output systems are applied in control, where the inputs are chosen in such a way that the system shows satisfactory performance. Stability is an important objective, that is, disturbances have a limited effect on the system. Systems can be stabilized by feedback, where past performance is used to choose the input variables.
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Filtering and Prediction,Stochastic systems can be applied for forecasting purposes. The classical solution for filtering, smoothing and prediction of linear systems was proposed by Wiener and Kolmogorov in terms of spectral representations. The Kalman filter is a much more efficient, recursive solution in terms of state space models.
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Cycles and Trends,For many time series, trends and cyclical fluctuations dominate the stationary part. The main cyclical components can be identified by spectral analysis. Trends and seasonals can either be incorporated explicitly in the model or they can be removed by filtering the data.
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