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Titlebook: Neural Approximations for Optimal Control and Decision; Riccardo Zoppoli,Marcello Sanguineti,Thomas Parisi Book 2020 Springer Nature Switz

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書目名稱Neural Approximations for Optimal Control and Decision
編輯Riccardo Zoppoli,Marcello Sanguineti,Thomas Parisi
視頻videohttp://file.papertrans.cn/664/663531/663531.mp4
概述Material is an up-to-date treatment of optimal control problems which have thus far been difficult to solve.Applications selected have major current interest: routing in communications networks, freew
叢書名稱Communications and Control Engineering
圖書封面Titlebook: Neural Approximations for Optimal Control and Decision;  Riccardo Zoppoli,Marcello Sanguineti,Thomas Parisi Book 2020 Springer Nature Switz
描述.Neural Approximations for Optimal Control and Decision.?provides a comprehensive methodology for the approximate solution of functional optimization problems using neural networks and other nonlinear approximators where the use of traditional optimal control tools is prohibited by complicating factors like non-Gaussian noise, strong nonlinearities, large dimension of state and control vectors, etc...Features of the text include:..? a general functional optimization framework;..? thorough illustration of recent theoretical insights into the approximate solutions of complex functional optimization problems;..? comparison of classical and neural-network based methods of approximate solution;..? bounds to the errors of approximate solutions;..? solution algorithms for optimal control and decision in deterministic or stochastic environments with perfect or imperfect state measurements over a finite or infinite time horizon and with onedecision maker or several;..? applications of current interest: routing in communications networks, traffic control, water resource management, etc.;?and..? numerous, numerically detailed examples...The authors’ diverse backgrounds in systems and control
出版日期Book 2020
關鍵詞Bellman‘s Curse of Dimensionality; Control; Control Engineering; Control Theory; Decision Engineering; Ne
版次1
doihttps://doi.org/10.1007/978-3-030-29693-3
isbn_ebook978-3-030-29693-3Series ISSN 0178-5354 Series E-ISSN 2197-7119
issn_series 0178-5354
copyrightSpringer Nature Switzerland AG 2020
The information of publication is updating

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Design of Mathematical Models by Learning From Data and FSP Functions,es one to reduce the number of samples (under the same accuracy) and to obtain upper bounds on the errors in deterministic terms rather than in probabilistic ones. Deterministic learning relies on some basic quantities such as variation and discrepancy. Special families of deterministic sequences ca
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,Deterministic Optimal Control over?a?Finite Horizon,l growth of the number of samples, and thus to the curse of dimensionality. Therefore, the discretization by deterministic sequences of samples is addressed, which spread the samples in the most uniform way. Specifically, low-discrepancy sequences are considered, like quasi-Monte Carlo sequences. We
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,Stochastic Optimal Control with?Imperfect State Information over a Finite Horizon,arameters. Of course, if the number of decision stages is large, the application of the ERIM is also impossible. Therefore, an approximate approach is followed by truncating the information vector and retaining in the memory only a suitable “l(fā)imited-memory information vector.”
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發(fā)表于 2025-3-23 02:56:07 | 只看該作者
Team Optimal Control Problems, takes particular forms. On the contrary, the “extended Ritz method” (ERIM) can be always applied. The ERIM consists in substituting the admissible functions with fixed-structure parametrized functions containing vectors of “free” parameters. The ERIM is tested in two case studies. The former is the
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Optimal Control Problems over an Infinite Horizon, “extended Ritz method” and implemented through fixed-structure parametrized functions containing vectors of “free” parameters. Conditions are established on the maximum allowable approximation errors so as to ensure the boundedness of the state trajectories.
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