On global controllability of discrete-time control systems
type: Item
instance of: scholarly article
title: On global controllability of discrete-time control systems
zbMATH Open document ID: 0853.93024
DOI: 10.1007/BF01211863
published in: MCSS. Mathematics of Control, Signals, and Systems
publication date: 1996-08-21T00:00:00Z
review text: Special kinds of finite-dimensional, discrete-time, and time-invariant control systems are considered. Using methods of Lie algebras and matrix theory, sufficient conditions for global controllability in finite time are formulated and proved. Similar controllability problems for continuous-time bilinear control systems have been studied in the paper [\textit{V. Jurdjevic} and \textit{I. Kupka}, J. Differ. Equations 39, 186-211 (1981; Zbl 0531.93008)]. The paper contains also several remarks and comments on the applications of differential geometry in nonlinear control theory. The relationships between the controllability problems for discrete-time and continuous-time bilinear dynamical systems are explained and discussed.
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93B29
zbMATH DE Number: 881726
zbMATH Keywords: bilinear systems
zbMATH Keywords: discrete-time
zbMATH Keywords: Lie algebras
zbMATH Keywords: global controllability
author: Luiz A. B. San Martin
reviewed by: Jerzy Klamka
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01211863
OpenAlex ID: W2082282871
description: scientific article; zbMATH DE number 881726