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Titlebook: Numerical Methods for Optimal Control Problems with State Constraints; Rados?aw Pytlak Book 1999 Springer-Verlag Berlin Heidelberg 1999 Ne

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發(fā)表于 2025-3-21 17:07:23 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Numerical Methods for Optimal Control Problems with State Constraints
編輯Rados?aw Pytlak
視頻videohttp://file.papertrans.cn/670/669081/669081.mp4
概述Includes supplementary material:
叢書名稱Lecture Notes in Mathematics
圖書封面Titlebook: Numerical Methods for Optimal Control Problems with State Constraints;  Rados?aw Pytlak Book 1999 Springer-Verlag Berlin Heidelberg 1999 Ne
描述While optimality conditions for optimal control problems with state constraints have been extensively investigated in the literature the results pertaining to numerical methods are relatively scarce. This book fills the gap by providing a family of new methods. Among others, a novel convergence analysis of optimal control algorithms is introduced. The analysis refers to the topology of relaxed controls only to a limited degree and makes little use of Lagrange multipliers corresponding to state constraints. This approach enables the author to provide global convergence analysis of first order and superlinearly convergent second order methods. Further, the implementation aspects of the methods developed in the book are presented and discussed. The results concerning ordinary differential equations are then extended to control problems described by differential-algebraic equations in a comprehensive way for the first time in the literature.
出版日期Book 1999
關鍵詞Necessary Optimality Conditions; Nonlinear Programming; Numerical Algorithms; Optimal control; Optimalit
版次1
doihttps://doi.org/10.1007/BFb0097244
isbn_softcover978-3-540-66214-3
isbn_ebook978-3-540-48662-6Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer-Verlag Berlin Heidelberg 1999
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沙發(fā)
發(fā)表于 2025-3-21 22:16:32 | 只看該作者
板凳
發(fā)表于 2025-3-22 04:22:51 | 只看該作者
地板
發(fā)表于 2025-3-22 07:35:53 | 只看該作者
Introduction,We provide very brief historical overview of the calculus of variations and optimal control. An introduction to computational methods for optimal control problems is also presented.
5#
發(fā)表于 2025-3-22 09:27:37 | 只看該作者
Estimates on solutions to differential equations and their approximations,Estimates on solutions to perturbed ordinary differential equations are established here.
6#
發(fā)表于 2025-3-22 14:11:56 | 只看該作者
First order method,Algorithms for optimal control problems can be analysed in the same way as algorithms for nonlinear programming problems. The compactness of the space of relaxed controls is only needed to guarantee boundedness of penalty parameters.
7#
發(fā)表于 2025-3-22 17:04:38 | 只看該作者
8#
發(fā)表于 2025-3-23 00:57:04 | 只看該作者
Second order method,Control functions are substituted by piecewise constant controls. The control problem becomes then a semi-infinite programming problem..The search direction subproblems have only a finite number of constraints and their Lagrange multipliers are numbers.
9#
發(fā)表于 2025-3-23 02:38:18 | 只看該作者
10#
發(fā)表于 2025-3-23 06:41:49 | 只看該作者
Lecture Notes in Mathematicshttp://image.papertrans.cn/n/image/669081.jpg
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