On the invariant analysis of generalized linear dynamical systems
type: Item
instance of: scholarly article
title: On the invariant analysis of generalized linear dynamical systems
zbMATH Open document ID: 1022.93011
DOI: 10.1023/A:1023641106245
author: Yanyan Li
published in: Differential Equations
publication date: 2003-06-12T00:00:00Z
review text: The study is focused on a description of linear dynamical systems and one considers problems involved in so-called invariant analysis of generalized linear systems, in which, instead of a single system, one studies geometric and algebraic properties of various manifolds of systems and their relationships with some problems in control theory. The author computes algebraic invariants of generalized control systems with respect to \(\eta\)-equivalence and the orbits are analyzed. It is pointed out that there is a close relationship between classification problems for generalized dynamical systems and the Kronecker and Weierstrass canonical forms of a singular matrix pencil.
Mathematics Subject Classification ID: 93B29
Mathematics Subject Classification ID: 93C05
zbMATH DE Number: 1927223
zbMATH Keywords: linear systems
zbMATH Keywords: equivalence
zbMATH Keywords: manifolds of systems
zbMATH Keywords: algebraic invariants
zbMATH Keywords: generalized control systems
zbMATH Keywords: orbits
zbMATH Keywords: classification problems
zbMATH Keywords: Kronecker and Weierstrass canonical forms
zbMATH Keywords: singular matrix pencil
reviewed by: Constantin Vârsan
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1927223