Global stabilizability of homogeneous vector fields of odd degree
type: Item
instance of: scholarly article
title: Global stabilizability of homogeneous vector fields of odd degree
zbMATH Open document ID: 0653.93040
DOI: 10.1016/0167-6911(88)90014-X
author: Alessandra Andreini
author: Gianna Stefani
author: Andrea Bacciotti
published in: Systems \& Control Letters
publication date: 1988-01-01T00:00:00Z
review text: The authors study control systems of type \(\dot x=f(x)+Bu\) with f a homogeneous polynomial. They prove a sufficient condition for global stabilizability of the system by a homogeneous polynomial feedback of the same degree as f. The condition is shown to be also necessary for linear systems and implied by a local controllability condition in a particular case. The constructions are based on the Lyapunov function method.
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93D05
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93C15
zbMATH DE Number: 4066743
zbMATH Keywords: global stabilizability
zbMATH Keywords: homogeneous polynomial feedback
zbMATH Keywords: local controllability
zbMATH Keywords: Lyapunov function
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4066743