书目名称 | Relative Optimization of Continuous-Time and Continuous-State Stochastic Systems |
编辑 | Xi-Ren Cao |
视频video | |
概述 | Solves existing problems without requiring deep knowledge of partial differential equations.Presents a new framework for optimization of stochastic systems, promoting new research pathways.Shows the r |
丛书名称 | Communications and Control Engineering |
图书封面 |  |
描述 | .This monograph applies the relative optimization approach to time nonhomogeneous continuous-time and continuous-state dynamic systems. The approach is intuitively clear and does not require deep knowledge of the mathematics of partial differential equations. The topics covered have the following distinguishing features: long-run average with no under-selectivity, non-smooth value functions with no viscosity solutions, diffusion processes with degenerate points, multi-class optimization with state classification, and optimization with no dynamic programming..The book begins with an introduction to relative optimization, including a comparison with the traditional approach of dynamic programming. The text then studies the Markov process, focusing on infinite-horizon optimization problems, and moves on to discuss optimal control of diffusion processes with semi-smooth value functions and degenerate points, and optimization of multi-dimensional diffusion processes. The book concludes with a brief overview of performance derivative-based optimization..Among the more important novel considerations presented are:.the extension of the Hamilton–Jacobi–Bellman optimality condition from smoo |
出版日期 | Book 2020 |
关键词 | Performance Optimization; Stochastic Optimization; Stochastic Control; Perturbation Analysis; Sensitivit |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-030-41846-5 |
isbn_softcover | 978-3-030-41848-9 |
isbn_ebook | 978-3-030-41846-5Series ISSN 0178-5354 Series E-ISSN 2197-7119 |
issn_series | 0178-5354 |
copyright | Springer Nature Switzerland AG 2020 |