Invariance entropy for deterministic control systems : An Introduction

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 connec...

Description complète

Enregistré dans:
Détails bibliographiques
Auteur principal : Kawan Christoph (Auteur)
Format : Livre
Langue : anglais
Titre complet : Invariance entropy for deterministic control systems : An Introduction / Christoph Kawan
Édition : 1st ed. 2013.
Publié : Cham : Springer International Publishing , [20..]
Cham : Springer Nature
Collection : Lecture notes in mathematics (Internet) ; 2089
Accès en ligne : Accès Nantes Université
Accès direct soit depuis les campus via le réseau ou le wifi eduroam soit à distance avec un compte @etu.univ-nantes.fr ou @univ-nantes.fr
Note sur l'URL : Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Condition d'utilisation et de reproduction : Conditions particulières de réutilisation pour les bénéficiaires des licences nationales : https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017
Contenu : Basic Properties of Control Systems. Introduction to Invariance Entropy. Linear and Bilinear Systems. General Estimates. Controllability, Lyapunov Exponents, and Upper Bounds. Escape Rates and Lower Bounds. Examples. Notation. Bibliography. Index
Sujets :
Documents associés : Autre format: Invariance entropy for deterministic control systems
Autre format: Invariance entropy for deterministic control systems
Autre format: Invariance Entropy for Deterministic Control Systems
Description
Résumé : 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
Notes : l'impression du document génère 290 p.
Bibliographie : Bibliogr. Index
ISBN : 978-3-319-01288-9
DOI : 10.1007/978-3-319-01288-9