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Titlebook: Mathematics of Kalman-Bucy Filtering; Peter A. Ruymgaart,Tsu T. Soong Textbook 19851st edition Springer Verlag Berlin Heidelberg 1985 Brow

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發(fā)表于 2025-3-21 19:41:26 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱Mathematics of Kalman-Bucy Filtering
編輯Peter A. Ruymgaart,Tsu T. Soong
視頻videohttp://file.papertrans.cn/627/626943/626943.mp4
叢書(shū)名稱Springer Series in Information Sciences
圖書(shū)封面Titlebook: Mathematics of Kalman-Bucy Filtering;  Peter A. Ruymgaart,Tsu T. Soong Textbook 19851st edition Springer Verlag Berlin Heidelberg 1985 Brow
描述Since their introduction in the mid 1950s, the filtering techniques developed by Kalman, and by Kalman and Bucy have been widely known and widely used in all areas of applied sciences. Starting with applications in aerospace engineering, their impact has been felt not only in all areas of engineering but also in the social sciences, biological sciences, medical sciences, as well as all other physical sciences. Despite all the good that has come out of this devel- opment, however, there have been misuses because the theory has been used mainly as a tool or a procedure by many applied workers without them fully understanding its underlying mathematical workings. This book addresses a mathematical approach to Kalman-Bucy filtering and is an outgrowth of lectures given at our institutions since 1971 in a sequence of courses devoted to Kalman-Bucy filters. The material is meant to be a theoretical complement to courses dealing with applications and is designed for students who are well versed in the techniques of Kalman-Bucy filtering but who are also interested in the mathematics on which these may be based. The main topic addressed in this book is continuous-time Kalman-Bucy filtering
出版日期Textbook 19851st edition
關(guān)鍵詞Brownian motion; Gaussian distribution; Gaussian process; Lévy process; Mathematics; Random variable; equa
版次1
doihttps://doi.org/10.1007/978-3-642-96842-6
isbn_ebook978-3-642-96842-6Series ISSN 0720-678X
issn_series 0720-678X
copyrightSpringer Verlag Berlin Heidelberg 1985
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發(fā)表于 2025-3-21 22:00:59 | 只看該作者
The Stochastic Dynamic System,rces whose random components are modeled by Brownian motion. In this chapter we are concerned with this system. Since only a sample of the stochastic processes is realized at the end of each physical experiment modeled by the dynamic system, the use of sample calculus is appropriate in the mathematical model.
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0720-678X idely used in all areas of applied sciences. Starting with applications in aerospace engineering, their impact has been felt not only in all areas of engineering but also in the social sciences, biological sciences, medical sciences, as well as all other physical sciences. Despite all the good that
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Springer Verlag Berlin Heidelberg 1985
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Calculus in Mean Square,chapter to the extent required for Chap. 3. Since the class of stochastic processes to be considered contains real functions as a special case, some of this development is also applicable to ordinary real functions.
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發(fā)表于 2025-3-23 01:23:32 | 只看該作者
A Theorem by Liptser and Shiryayev,rse is the fact that success of the filter depends on the contamination of observation by white noise, much like dimming the light to see more clearly. The purpose of this short chapter is to shed some light on this self-contradictory phenomenon through a theorem by Liptser and Shiryayev.
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Springer Series in Information Scienceshttp://image.papertrans.cn/m/image/626943.jpg
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