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Titlebook: Optimal Control; Leonid T. Aschepkov,Dmitriy V.‘Dolgy,Ravi P.‘Agarw Textbook 20161st edition Springer International Publishing AG 2016 Opt

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發(fā)表于 2025-3-21 17:32:57 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Optimal Control
編輯Leonid T. Aschepkov,Dmitriy V.‘Dolgy,Ravi P.‘Agarw
視頻videohttp://file.papertrans.cn/703/702789/702789.mp4
概述Offers thorough examination of control of linear systems and of nonlinear systems.Includes numerous exercises and tasks to help students apply the material as well as selected solutions.Perfect for a
圖書封面Titlebook: Optimal Control;  Leonid T. Aschepkov,Dmitriy V.‘Dolgy,Ravi P.‘Agarw Textbook 20161st edition Springer International Publishing AG 2016 Opt
描述This book is based on lectures from a one-year course at the Far Eastern Federal University (Vladivostok, Russia) as well as on workshops on optimal control offered to students at various mathematical departments at the university level. The main themes of the theory of linear and nonlinear systems are considered, including the basic problem of establishing the necessary and sufficient conditions of optimal processes..In the first part of the course, the theory of linear control systems is constructed on the basis of the separation theorem and the concept of a reachability set. The authors prove the closure of a reachability set in the class of?piecewise?continuous controls, and the problems of controllability, observability, identification, performance and terminal control are also considered. The second part of the course is devoted to nonlinear control systems. Using the method of variations and the Lagrange multipliers rule of nonlinear problems, the authors prove the Pontryagin maximum principle for problems with mobile ends of trajectories. Further exercises and a large number of additional tasks are provided for use as practical training in order for the reader to consolidat
出版日期Textbook 20161st edition
關(guān)鍵詞Optimal Control; Linear Systems; Non-Linear Systems; Cauchy Formula; Kalman Theorem; Krasovskii Theorem
版次1
doihttps://doi.org/10.1007/978-3-319-49781-5
isbn_softcover978-3-319-84240-0
isbn_ebook978-3-319-49781-5
copyrightSpringer International Publishing AG 2016
The information of publication is updating

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發(fā)表于 2025-3-21 23:42:49 | 只看該作者
ly the material as well as selected solutions.Perfect for a This book is based on lectures from a one-year course at the Far Eastern Federal University (Vladivostok, Russia) as well as on workshops on optimal control offered to students at various mathematical departments at the university level. Th
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https://doi.org/10.1007/978-3-319-49781-5Optimal Control; Linear Systems; Non-Linear Systems; Cauchy Formula; Kalman Theorem; Krasovskii Theorem
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The Subject of Optimal ControlOn the example of control by the mechanical system we illustrate the features of the optimal control problem. It is covered the main issues of optimal control theory: the causes of arising, the subject, objectives and relation with other mathematical disciplines.
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發(fā)表于 2025-3-23 05:09:18 | 只看該作者
Mathematical Model for Controlled ObjectThe basic concepts of optimal control theory–controlled object, control, trajectory, process, and mathematical model are introduced. The questions of correctness of the mathematical model—the unambiguous description of the processes are discussed. We introduce the types of linear models and give illustrative examples.
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Controllability of Linear SystemsWe study the controllability of linear systems–the existence of processes and their construction according with specified conditions on the ends of a trajectory. The criteria of point-to-point and complete controllability are established. We investigate the features for non-controllability of the systems.
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