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Titlebook: Computational Aspects of Linear Control; Claude Brezinski Book 20021st edition Kluwer Academic Publishers 2002 approximation.approximation

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發(fā)表于 2025-3-21 18:44:29 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱(chēng)Computational Aspects of Linear Control
編輯Claude Brezinski
視頻videohttp://file.papertrans.cn/233/232118/232118.mp4
叢書(shū)名稱(chēng)Numerical Methods and Algorithms
圖書(shū)封面Titlebook: Computational Aspects of Linear Control;  Claude Brezinski Book 20021st edition Kluwer Academic Publishers 2002 approximation.approximation
描述Many devices (we say dynamical systems or simply systems) behave like black boxes: they receive an input, this input is transformed following some laws (usually a differential equation) and an output is observed. The problem is to regulate the input in order to control the output, that is for obtaining a desired output. Such a mechanism, where the input is modified according to the output measured, is called feedback. The study and design of such automatic processes is called control theory. As we will see, the term system embraces any device and control theory has a wide variety of applications in the real world. Control theory is an interdisci- plinary domain at the junction of differential and difference equations, system theory and statistics. Moreover, the solution of a control problem involves many topics of numerical analysis and leads to many interesting computational problems: linear algebra (QR, SVD, projections, Schur complement, structured matrices, localization of eigenvalues, computation of the rank, Jordan normal form, Sylvester and other equations, systems of linear equations, regulariza- tion, etc), root localization for polynomials, inversion of the Laplace transf
出版日期Book 20021st edition
關(guān)鍵詞approximation; approximation theory; difference equation; differential equation; dynamical systems; numer
版次1
doihttps://doi.org/10.1007/978-1-4613-0261-2
isbn_softcover978-1-4613-7966-9
isbn_ebook978-1-4613-0261-2Series ISSN 1571-5698
issn_series 1571-5698
copyrightKluwer Academic Publishers 2002
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https://doi.org/10.1007/978-981-99-5261-8o, two years later, Lanczos proposed a method for the solution of a system of linear algebraic equations [4]. We will now describe these two methods, which are based on formal orthogonal polynomials (see Chapter 2).
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Morteza A. M. Torkamani,Ahmad K. Ahmadind in [9]. The reference [65] explains, almost without any mathematics, the essence, the concepts and the main ideas of control theory. Another quite easy introduction to the subject is [91] which contains many examples.
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Book 20021st editions (usually a differential equation) and an output is observed. The problem is to regulate the input in order to control the output, that is for obtaining a desired output. Such a mechanism, where the input is modified according to the output measured, is called feedback. The study and design of such
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