Augmented Lyapunov function approach to \({\mathcal L}_2\) gain analysis for discrete-time systems with saturation nonlinearities
type: Item
instance of: scholarly article
title: Augmented Lyapunov function approach to \({\mathcal L}_2\) gain analysis for discrete-time systems with saturation nonlinearities
zbMATH Open document ID: 1217.93066
author: Jianyong Qiao
author: Sumit K. Garg
published in: Applied Mathematics and Computation
publication date: 2011-07-22T00:00:00Z
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 93D30
zbMATH DE Number: 5931373
zbMATH Keywords: saturation
zbMATH Keywords: sector nonlinearity
zbMATH Keywords: augmented Lyapunov function
zbMATH Keywords: LMI
MaRDI profile type: Publication
full work available at URL: j.amc.2011.05.017
OpenAlex ID: W1988659890
Wikidata QID: Q57590849
cites work: Q3029380
cites work: LMI relaxations for robust stability of linear systems with saturating controls
cites work: Analysis and design for discrete-time linear systems subject to actuator saturation
cites work: An analysis and design method for linear systems subject to actuator saturation and disturbance
cites work: Stability analysis of discrete-time systems with actuator saturation by a saturation-dependent Lyapunov function.
cites work: Stability and Performance for Saturated Systems via Quadratic and Nonquadratic Lyapunov Functions
cites work: Piecewise-quadratic Lyapunov functions for systems with deadzones or saturations
cites work: A stability inequality for nonlinear feedback systems with slope-restricted nonlinearity
cites work: Absolute stability criteria for multiple slope-restricted monotonic nonlinearities
cites work: Stability criteria of sector- and slope-restricted Lur'e systems
cites work: Improved asymptotic stability analysis for Lur'e systems with sector and slope restricted nonlinearities
cites work: Linear Matrix Inequalities in System and Control Theory
cites work: LPV system analysis via quadratic separator for uncertain implicit systems
DOI: 10.1016/J.AMC.2011.05.017
description: scientific article; zbMATH DE number 5931373