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Titlebook: Invariance Entropy for Deterministic Control Systems; An Introduction Christoph Kawan Book 2013 Springer International Publishing Switzerla

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書目名稱Invariance Entropy for Deterministic Control Systems
副標題An Introduction
編輯Christoph Kawan
視頻videohttp://file.papertrans.cn/475/474562/474562.mp4
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
叢書名稱Lecture Notes in Mathematics
圖書封面Titlebook: Invariance Entropy for Deterministic Control Systems; An Introduction Christoph Kawan Book 2013 Springer International Publishing Switzerla
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
關鍵詞Controlled Invariance; Feedback Entropy; Invariance Entropy; Minimal Data Rates
版次1
doihttps://doi.org/10.1007/978-3-319-01288-9
isbn_softcover978-3-319-01287-2
isbn_ebook978-3-319-01288-9Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer International Publishing Switzerland 2013
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Christoph Kawanegime, has demonstrated convincingly that the corona is pervaded at all times by loop-shaped features that appear to be closely aligned with ambient magnetic field lines. This structuring is most strikingly evident in solar active regions. Together with photospheric magnetograms, the orientations of
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Christoph Kawanchniques for readers acquainted with the fieldThis book is the first organized collection of some results that have been obtained by the authors, their collaborators, and other researchers in the variational approach to structured deformations. It sets the basis and makes more accessible the theoret
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Basic Properties of Control Systems,e give the definition of a control system which is basically the one from Sontag’s book (Mathematical Control Theory. Deterministic Finite-Dimensional Systems, 2nd edn., vol. 6, 1998). We also introduce particular classes of (time-invariant) systems, namely topological, linear, and smooth systems. S
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