Analysis of discrete-time piecewise affine and hybrid systems
type: Item
instance of: scholarly article
title: Analysis of discrete-time piecewise affine and hybrid systems
zbMATH Open document ID: 1010.93090
DOI: 10.1016/S0005-1098(02)00142-5
author: Francesco A. Cuzzola
author: Domenico Mignone
author: Manfred Morari
author: Giancarlo Ferrari-Trecate
published in: Automatica
publication date: 2003-02-13T00:00:00Z
review text: The authors discuss various algorithms both for stability and performance analysis of discrete-time piecewise affine (PWA) systems. For stability, the authors consider different classes of Lyapunov functions and they show how to compute them through linear matrix inequalities with switching structure of the systems. In addition the authors show that the continuity of the Lyapunov function is not required in discrete time. By using arguments from the dissipative theory for nonlinear systems, the authors generalize their approach to analyze the gain of PWA systems.
Mathematics Subject Classification ID: 93D30
Mathematics Subject Classification ID: 93B12
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 15A39
zbMATH DE Number: 1868208
zbMATH Keywords: piecewise affine systems
zbMATH Keywords: hybrid systems
zbMATH Keywords: stability
zbMATH Keywords: \(l_2\) gain
zbMATH Keywords: linear matrix inequalities
zbMATH Keywords: dissipative systems
zbMATH Keywords: discrete-time systems
zbMATH Keywords: Lyapunov functions
zbMATH Keywords: switching structure
reviewed by: Seenith Sivasundaram
describes a project that uses: LMI toolbox
MaRDI profile type: Publication
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full work available at URL: s0005-1098(02)00142-5
OpenAlex ID: W2039434969
description: scientific article; zbMATH DE number 1868208