Upper and lower estimates for invariance entropy
type: Item
instance of: scholarly article
title: Upper and lower estimates for invariance entropy
zbMATH Open document ID: 1219.93047
author: Christoph Kawan
published in: Discrete and Continuous Dynamical Systems
publication date: 2011-05-16T00:00:00Z
review text: The invariance entropy of a control system is a quantity that measures the smallest data rate necessary for keeping the system by feedback control in a given compact invariant set of the state space. The authors provide upper and lower bounds on this invariance entropy in the case of systems defined on arbitrary smooth manifolds, thereby extending results available in the case of Euclidean space. Tools from differential geometry are used to derive an upper bound depending on a Riemannian metric, and a lower bound depending on a volume form. Applications are described to the study of bilinear control systems through their projection on the unit sphere, and control-affine systems in dimension one.
reviewed by: Didier Henrion
Mathematics Subject Classification ID: 93C15
Mathematics Subject Classification ID: 34C40
zbMATH DE Number: 5888334
zbMATH Keywords: feedback control systems
zbMATH Keywords: invariance entropy
MaRDI profile type: Publication
full work available at URL: dcds.2011.30.169
OpenAlex ID: W2324103067
DOI: 10.3934/DCDS.2011.30.169
description: scientific article; zbMATH DE number 5888334