Exponential stabilization of a constrained bilinear system
type: Item
instance of: scholarly article
title: Exponential stabilization of a constrained bilinear system
zbMATH Open document ID: 0937.93040
DOI: 10.1016/S0005-1098(98)00037-5
author: Min-Shin Chen
published in: Automatica
publication date: 2000-06-07T00:00:00Z
review text: The paper deals with single input, finite dimensional bilinear systems of the form \[ \dot x = Ax + uNx. \] The author shows that if the pair \((A,N)\) satisfies a suitable algebraic condition, then the system can be globally and exponentially stabilized at zero by means of a feedback law \(u(x)\) which is discontinuous at the origin and homogeneous of degree zero. Moreover, \(u(x)\) can be chosen in order to meet a preassigned constraint of the form \(|u|\leq u_{\max}\).
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 1325619
zbMATH Keywords: stabilization
zbMATH Keywords: discontinuous feedback
zbMATH Keywords: saturation
zbMATH Keywords: bilinear systems
reviewed by: Andrea Bacciotti
MaRDI profile type: Publication
full work available at URL: s0005-1098(98)00037-5
OpenAlex ID: W2086402378
description: scientific article; zbMATH DE number 1325619