Conditioned invariant and locally conditioned invariant distributions
type: Item
instance of: scholarly article
title: Conditioned invariant and locally conditioned invariant distributions
zbMATH Open document ID: 0607.93029
DOI: 10.1016/0167-6911(86)90032-0
author: Arthur Krener
published in: Systems \& Control Letters
publication date: 1986-01-01T00:00:00Z
review text: A nonlinear system \(\overset\circ x=f(x,u,v)\), \(y=h(x)\), \(z=k(x)\) on a manifold M is considered. The linear concept of (C,A) (or conditioned) invariant subspace is generalized to the definitions of (h,f) invariant and locally (h,f) invariant distribution D. The two definitions coincide on an open subset of M. They are used to solve the problem of tracking the output signal z(t) in spite of the unknown disturbance w(t). The results are compared with the analogous ones for the linear case.
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 58A30
Mathematics Subject Classification ID: 93B27
Mathematics Subject Classification ID: 37C80
Mathematics Subject Classification ID: 93B07
zbMATH DE Number: 3983019
zbMATH Keywords: nonlinear system
zbMATH Keywords: invariant distribution
zbMATH Keywords: tracking
zbMATH Keywords: time-invariant
reviewed by: Gianna Stefani
MaRDI profile type: Publication
full work available at URL: 0167-6911(86)90032-0
OpenAlex ID: W2005994095
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description: scientific article; zbMATH DE number 3983019