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Titlebook: Continuous Average Control of Piecewise Deterministic Markov Processes; Oswaldo Luiz do Valle Costa,Francois Dufour Book 2013 Oswaldo Luiz

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发表于 2025-3-21 16:44:30 | 显示全部楼层 |阅读模式
书目名称Continuous Average Control of Piecewise Deterministic Markov Processes
编辑Oswaldo Luiz do Valle Costa,Francois Dufour
视频videohttp://file.papertrans.cn/237/236984/236984.mp4
概述Uses the special features of the Piecewise Deterministic Markov Processes (PDMPs).Traces a parallel with the general theory for discrete-time Markov Decision Processes.Uses the powerful tools develope
丛书名称SpringerBriefs in Mathematics
图书封面Titlebook: Continuous Average Control of Piecewise Deterministic Markov Processes;  Oswaldo Luiz do Valle Costa,Francois Dufour Book 2013 Oswaldo Luiz
描述The intent of this book is to present recent results in the control theory for the long run average continuous control problem of piecewise deterministic Markov processes (PDMPs). The book focuses mainly on the long run average cost criteria and  extends to the PDMPs some well-known techniques related to discrete-time and continuous-time Markov decision processes, including the so-called ``average inequality approach‘‘, ``vanishing discount technique‘‘ and ``policy iteration algorithm‘‘. We believe that what is unique about our approach is that, by using the special features of the PDMPs, we trace a parallel with the general theory for discrete-time Markov Decision Processes rather than the continuous-time case. The two main reasons for doing that is to use the powerful tools developed in the discrete-time framework and to avoid working with the infinitesimal generator associated to a PDMP, which in most cases has its domain of definition difficult to be characterized. Although the book is mainly intended to be a theoretically oriented text, it also contains some motivational examples. The book is targeted primarily for advanced students and practitioners of control theory. The boo
出版日期Book 2013
关键词Average Cost; Markov Decision Processes; Optimality Equation; Policy Iteration Approach; Vanishing Disco
版次1
doihttps://doi.org/10.1007/978-1-4614-6983-4
isbn_softcover978-1-4614-6982-7
isbn_ebook978-1-4614-6983-4Series ISSN 2191-8198 Series E-ISSN 2191-8201
issn_series 2191-8198
copyrightOswaldo Luiz do Valle Costa, François Dufour 2013
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发表于 2025-3-21 22:53:13 | 显示全部楼层
SpringerBriefs in Mathematicshttp://image.papertrans.cn/c/image/236984.jpg
发表于 2025-3-22 00:46:56 | 显示全部楼层
Continuous Average Control of Piecewise Deterministic Markov Processes978-1-4614-6983-4Series ISSN 2191-8198 Series E-ISSN 2191-8201
发表于 2025-3-22 06:42:27 | 显示全部楼层
Understanding Cardiovascular Hemodynamics,, some standard notation and some basic definitions related to the motion of a PDMP are presented. In Sect. 2.3, the definitions of ordinary and relaxed control spaces as well as some operators required for characterizing the optimality equation are presented. Some proofs of auxiliary results are presented in Sect. 2.4.
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https://doi.org/10.1007/978-3-319-74687-6This chapter presents the main characterization results regarding the optimality equation for long-run average cost.
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Optimality Equation for the Average Control of PDMPs,This chapter presents the main characterization results regarding the optimality equation for long-run average cost.
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