Efficient criteria for the stabilization of planar linear systems by hybrid feedback controls
type: Item
instance of: scholarly article
title: Efficient criteria for the stabilization of planar linear systems by hybrid feedback controls
zbMATH Open document ID: 1089.93015
DOI: 10.1155/S1085337504306238
author: Elena Litsyn
author: Marina Myasnikova
author: Arcady Ponosov
author: Yurii V. Nepomnyashchikh
published in: Abstract and Applied Analysis
publication date: 2005-04-29T00:00:00Z
full work available at URL: https://eudml.org/doc/52427
review text: In the paper, the following linear control \(2\times 2\) system is considered: \[ \dot x=Ax+Bu,\quad y=Cx, \tag{1} \] where \(t\in [0,\infty)\), \(x\in\mathbb R^2\) is a state variable, \(y\in\mathbb R^m\) is an output variable, \(u\in\mathbb R^l\) is a control, \(A\), \(B\), and \(C\) are real matrices. The authors suggest some criteria for the stabilization of the zero solution of the system (1) via linear hybrid feedback controls. The obtained results are formulated in terms of the input matrices \(A\), \(B\), and \(C\) and are realized as an algorithm which is directly suitable for a computer implementation. This algorithm allows one to check easily whether the system (1) can be stabilized (a) by a linear ordinary feedback control or (b) by a linear hybrid feedback control.
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93D20
Mathematics Subject Classification ID: 93C15
zbMATH DE Number: 2163668
zbMATH Keywords: hybrid feedback control
zbMATH Keywords: planar linear control system
zbMATH Keywords: stabilization problem
zbMATH Keywords: linear feedback control
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2163668