| 书目名称 | Invariance Entropy for Deterministic Control Systems |
| 副标题 | An Introduction |
| 编辑 | Christoph Kawan |
| 视频video | |
| 概述 | The first book to present results on the relatively new notions of feedback and invariance entropy.Provides detailed proofs of all key results, together with a comprehensive exposition of the mathemat |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | .This monograph provides an introduction to the concept of invariance entropy, the central motivation of which lies in the need to deal with communication constraints in networked control systems. For the simplest possible network topology, consisting of one controller and one dynamical system connected by a digital channel, invariance entropy provides a measure for the smallest data rate above which it is possible to render a given subset of the state space invariant by means of a symbolic coder-controller pair. This concept is essentially equivalent to the notion of topological feedback entropy introduced by Nair, Evans, Mareels and Moran (Topological feedback entropy and nonlinear stabilization. IEEE Trans. Automat. Control 49 (2004), 1585–1597). The book presents the foundations of a theory which aims at finding expressions for invariance entropy in terms of dynamical quantities such as Lyapunov exponents. While both discrete-time and continuous-time systems are treated, the emphasis lies on systems given by differential equations.. |
| 出版日期 | Book 2013 |
| 关键词 | Controlled Invariance; Feedback Entropy; Invariance Entropy; Minimal Data Rates |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-01288-9 |
| isbn_softcover | 978-3-319-01287-2 |
| isbn_ebook | 978-3-319-01288-9Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer International Publishing Switzerland 2013 |
发表于 2025-3-21 17:01:10
