Stability results for switched controller systems
type: Item
instance of: scholarly article
title: Stability results for switched controller systems
zbMATH Open document ID: 0949.93014
DOI: 10.1016/S0005-1098(98)00167-8
author: E. Skafidas
author: Ian R. Petersen
author: Robin J. Evans
author: A. V. Savkin
published in: Automatica
publication date: 1999-09-02T00:00:00Z
review text: The paper considers a stability problem for the switched linear system \[ \dot x=Ax+Bu(t) \] \[ u=L_{i_k}x,\;i_k\in I(x) \] where \(I(\cdot)\) is a set of indices that is state dependent. The main feature of the paper is to consider stability properties on the switching boundaries by employing Filippov solutions. This is a crucial step for robust stability. Necessary and sufficient conditions for quadratic stabilization are given.
reviewed by: Vladimir Răsvan
Mathematics Subject Classification ID: 93B12
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93D21
Mathematics Subject Classification ID: 93D09
zbMATH DE Number: 1331859
zbMATH Keywords: stability
zbMATH Keywords: switched linear system
zbMATH Keywords: Filippov solutions
zbMATH Keywords: robust stability
zbMATH Keywords: quadratic stabilization
MaRDI profile type: Publication
full work available at URL: s0005-1098(98)00167-8
OpenAlex ID: W2010886952
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description: scientific article; zbMATH DE number 1331859