The Lyapunov spectrum of blockdiagonal semilinear control systems
type: Item
instance of: scholarly article
title: The Lyapunov spectrum of blockdiagonal semilinear control systems
zbMATH Open document ID: 0964.93038
DOI: 10.1023/A:1022837918466
author: Stefan M. Grünvogel
published in: Journal of Dynamical and Control Systems
publication date: 2000-04-13T00:00:00Z
review text: The Lyapunov spectrum of a semilinear control system is approximated via its Floquet and Morse spectra. If the semilinear control system possesses a singular (i.e. invariant) subspace then the analysis of the Floquet and the Morse spectra can be reduced to the lower-dimensional systems generated by the singular subspaces. In particular, it is shown that all Lyapunov exponents are attained on the singular subspaces.
reviewed by: Mahesh Nerurkar
Mathematics Subject Classification ID: 93B60
Mathematics Subject Classification ID: 93B55
Mathematics Subject Classification ID: 34D08
Mathematics Subject Classification ID: 37N35
zbMATH DE Number: 1431858
zbMATH Keywords: invariant subspace
zbMATH Keywords: Lyapunov spectrum
zbMATH Keywords: semilinear control system
zbMATH Keywords: Floquet and Morse spectra
zbMATH Keywords: singular subspaces
MaRDI profile type: Publication
full work available at URL: a:1022837918466
OpenAlex ID: W103805483
description: scientific article; zbMATH DE number 1431858