Piecewise-affine Lyapunov functions for discrete-time linear systems with saturating controls
type: Item
instance of: scholarly article
title: Piecewise-affine Lyapunov functions for discrete-time linear systems with saturating controls
zbMATH Open document ID: 1010.93091
DOI: 10.1016/S0005-1098(02)00193-0
author: Basílio E. A. Milani
published in: Automatica
publication date: 2003-02-13T00:00:00Z
review text: This paper deals with piecewise-affine (PWA) functions as Lyapunov function candidates for the stability analysis of time-invariant discrete-time linear systems with saturating closed-loop control inputs. Using a PWA model for a saturating closed-loop system, new necessary and sufficient conditions for a PWA function to be a Lyapunov function are presented. Based on a linear programming formulation of these conditions, an effective algorithm is proposed for the construction of such Lyapunov functions and for estimation of the region of local asymptotic stability.
Mathematics Subject Classification ID: 93D30
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 93D20
Mathematics Subject Classification ID: 90C05
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 1868213
zbMATH Keywords: discrete-time systems
zbMATH Keywords: actuator saturation
zbMATH Keywords: Lyapunov functions
zbMATH Keywords: stability regions
zbMATH Keywords: linear programming
zbMATH Keywords: piecewise-affine functions
reviewed by: A. A. Martynyuk
MaRDI profile type: Publication
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full work available at URL: s0005-1098(02)00193-0
OpenAlex ID: W2173273441
description: scientific article; zbMATH DE number 1868213