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

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ve been shown to be misleading. Current work in neurobiology has demonstrated evidence of discrete neurotransmitter systems having quite specific information processing functions, and central roles in the regulation of behaviour. Even the venerable curvilinear relationship between motivation and per

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Book 201385–1597). 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..

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Basic Properties of Control Systems, properties of these objects. Most of this material stems from the book of Colonius and Kliemann (The Dynamics of Control, 2000). Finally, in Sect. 1.5, the linearization of a smooth system given by differential equations along a fixed trajectory and related notions are studied.

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Controllability, Lyapunov Exponents, and Upper Bounds,apunov exponents are constant almost everywhere, and hence the integral in Pesin’s formula can be replaced by the integrand, that is, the sum of those (almost everywhere constant) Lyapunov exponents which are positive. Moreover, the assumption of . being . can be weakened to ..) Liu (Nagoya Math. J.

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Invariance Entropy for Deterministic Control SystemsAn Introduction

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Book 2013tion 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

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0075-8434 ts, together with a comprehensive exposition of the mathemat.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,

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Deaths in Custody Investigations, most instances, however, there is no misconduct. The situation is often aggravated by the news media, which seems sensation-driven. Thorough investigation and thoughtful analysis of an incident is often lacking.