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Titlebook: Mathematical Theory of Control Systems Design; V. N. Afanas’ev,V. B. Kolmanovskii,V. R. Nosov Book 1996 Springer Science+Business Media Do

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书目名称Mathematical Theory of Control Systems Design
编辑V. N. Afanas’ev,V. B. Kolmanovskii,V. R. Nosov
视频video
丛书名称Mathematics and Its Applications
图书封面Titlebook: Mathematical Theory of Control Systems Design;  V. N. Afanas’ev,V. B. Kolmanovskii,V. R. Nosov Book 1996 Springer Science+Business Media Do
描述Give, and it shall be given unto you. ST. LUKE, VI, 38. The book is based on several courses of lectures on control theory and appli­ cations which were delivered by the authors for a number of years at Moscow Electronics and Mathematics University. The book, originally written in Rus­ sian, was first published by Vysshaya Shkola (Higher School) Publishing House in Moscow in 1989. In preparing a new edition of the book we planned to make only minor changes in the text. However, we soon realized that we like many scholars working in control theory had learned many new things and had had many new insights into control theory and its applications since the book was first published. Therefore, we rewrote the book especially for the English edition. So, this is substantially a new book with many new topics. The book consists of an introduction and four parts. Part One deals with the fundamentals of modern stability theory: general results concerning stability and instability, sufficient conditions for the stability of linear systems, methods for determining the stability or instability of systems of various type, theorems on stability under random disturbances.
出版日期Book 1996
关键词Calculus of Variations; Mathematica; Optimal control; automation; calculus; control; control system; contro
版次1
doihttps://doi.org/10.1007/978-94-017-2203-2
isbn_softcover978-90-481-4615-4
isbn_ebook978-94-017-2203-2
copyrightSpringer Science+Business Media Dordrecht 1996
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Dynamic Programming Approach. Sufficient Conditions for Optimal Controlssary conditions for optimal control discussed in Chapters IV and V were derived from the study of individual trajectories. In this chapter we are concerned with the theory of dynamic programming, which is based on the study of the whole set of optimal trajectories.
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Numerical Design of Optimal Control Systemsveral methods of solving boundary-value problems are described, such as the Newton method, the reduction to a Cauchy problem, the transfer of boundary conditions, and the Abramov method. The Shatrovskii and Fedorenko methods for general optimal control problems are given.
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978-90-481-4615-4Springer Science+Business Media Dordrecht 1996
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Description of Control ProblemsThis chapter is intended to describe various mathematical problem statements in the area of optimal control of continuous deterministic systems. Some particular engineering problems are considered, such as nuclear reactor design, the soft landing on the moon, etc.
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Linear Control SystemsFor linear systems the problems of time optimality, controllability, observability, and the problem of constructing observers of different type are treated.
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