Analysis and synthesis of switched linear control systems
type: Item
instance of: scholarly article
title: Analysis and synthesis of switched linear control systems
zbMATH Open document ID: 1074.93025
author: Zhendong Sun
author: Shuzhi Sam Ge
published in: Automatica
publication date: 2005-02-23T00:00:00Z
review text: Recently, switched control systems have been attracting much attention because the problems are not only academically challenging, but also of practical importance. The paper provides a concise and timely survey on analysis and synthesis of switched linear control systems described by \[ \begin{aligned} \delta x(t)&=A_{\sigma}x(t)+B_{\sigma}u(t),\\ y(t)&=C_{\sigma}x(t), \end{aligned} \] where \(x\in\mathbb R^n\) is the state, \(u\in\mathbb R^p\) is the control input, \(\sigma\) is the piecewise constant switching signal taking values from the finite index set \(\mathcal F=\{1,2,\dots ,m\}\), \(\delta\) denotes the derivative operator in continuous time (\(\delta x(t)=(d/dt)x(t)\)) and the shift-forward operator in discrete time (\(\delta x(t)=x(t+1)\)). The paper presents the basic concepts and main properties of switched linear control systems in a systematic manner. The fundamental topics include (i) controllability and observability, (ii) system structural decomposition, (iii) feedback controller design for stabilization, and (iv) optimal control. The paper includes a useful and rich list of references.
Mathematics Subject Classification ID: 93C30
Mathematics Subject Classification ID: 93-02
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93B12
Mathematics Subject Classification ID: 93C65
zbMATH DE Number: 2137840
zbMATH Keywords: switched linear control systems
zbMATH Keywords: switching signal
zbMATH Keywords: stabilization
zbMATH Keywords: controllability
zbMATH Keywords: observability
zbMATH Keywords: optimal control
zbMATH Keywords: hybrid systems
zbMATH Keywords: structural decomposition
MaRDI profile type: Publication
Wikidata QID: Q57527799
full work available at URL: j.automatica.2004.09.015
OpenAlex ID: W2132427735
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Analysis and synthesis of switched linear control systems (DBLP publication ID)
DBLP publication ID: journals/automatica/SunG05

Analysis and synthesis of switched linear control systems (DOI)
DOI: 10.1016/J.AUTOMATICA.2004.09.015