Topological methods for the global controllability of nonlinear systems
type: Item
instance of: scholarly article
title: Topological methods for the global controllability of nonlinear systems
zbMATH Open document ID: 0536.93009
DOI: 10.1007/BF00939979
published in: Journal of Optimization Theory and Applications
publication date: 1985-01-01T00:00:00Z
review text: Sufficient conditions for the local and gobal controllability of general nonlinear systems, by means of controls belonging to a fixed finite- dimensional subspace of the space of all admissible controls, are established with the aid of topological methods, such as homotopy invariance principles. Some applications to certain classes of nonlinear control processes are given, and various known results on the controllability of perturbed linear systems are also derived as particular cases.
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 55P99
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93B03
zbMATH DE Number: 3852877
zbMATH Keywords: local and global controllability
zbMATH Keywords: continuation principles. Furi, M.
zbMATH Keywords: Nistri, P.
zbMATH Keywords: Pera, M. P.
zbMATH Keywords: Zea, P. L
zbMATH Keywords: homotopy invariance
author: Massimo Furi
author: Paolo Nistri
author: Maria Patrizia Pera
author: Pierluigi Zezza
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00939979
OpenAlex ID: W2012405281
description: scientific article; zbMATH DE number 3852877