Linear feedback control of nonlinear systems with a dominating conservative quadratic term
type: Item
instance of: scholarly article
title: Linear feedback control of nonlinear systems with a dominating conservative quadratic term
zbMATH Open document ID: 0908.93028
DOI: 10.1155/S0161171298000726
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1998-10-18T00:00:00Z
full work available at URL: https://eudml.org/doc/48092
review text: A class of quadratic dynamic (control) systems is considered. First, conditions which are sufficient to ensure that the dynamic system is point dissipative (i.e., which guarantee the existence of a bounded region in \(R^n\) for which every trajectory of the system eventually enters and remains in it) are given. These conditions are expressed in terms of relations between the quadratic and the linear part of the system (when the quadratic part is conservative). Next, these conditions are applied to the problem of the existence of a linear feedback control so that the closed-loop system has the origin as an asymptotically stable point or is point dissipative.
Mathematics Subject Classification ID: 93B52
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 1180642
zbMATH Keywords: quadratic control system
zbMATH Keywords: point dissipative system
zbMATH Keywords: feedback control
author: Anil K. Bose
author: Alan S. Cover
author: James A. Reneke
reviewed by: Mikhail Krastanov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1180642