Stabilizability conditions for a class of time-invariant bilinear systems
type: Item
instance of: scholarly article
zbMATH Open document ID: 0990.93102
author: Kunping Zhu
author: Bingyong Tang
author: Chuwang Cheng
publication date: 2002-08-19T00:00:00Z
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 1578366
zbMATH Keywords: quadratic feedback
zbMATH Keywords: global asymptotic stability
zbMATH Keywords: bilinear systems
MaRDI profile type: Publication
title: Stabilizability conditions for a class of time-invariant bilinear systems
published in: Control Theory \& Applications
review text: The paper deals with the global asymptotic stability of time-invariant bilinear systems described by the equations NEWLINE\[NEWLINE\dot x= Ax+ Bu+ \sum^m_{i=1} (N_i x)u_i.NEWLINE\]NEWLINE The proposed feedback is quadratic, \(u_i= -x^t P(b_i+ N_ix)\), where \(b_i\) are the columns of \(B\). The results depend on the features of the spectrum of the matrix \(A\).
reviewed by: Andrea Bacciotti
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