Global input-to-state stability and stabilization of discrete-time piecewise affine systems
type: Item
instance of: scholarly article
title: Global input-to-state stability and stabilization of discrete-time piecewise affine systems
zbMATH Open document ID: 1215.93137
author: Mircea Lazar
author: W. P. Maurice H. Heemels
published in: Nonlinear Analysis. Hybrid Systems
publication date: 2011-05-17T00:00:00Z
Mathematics Subject Classification ID: 93D25
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 93D09
zbMATH DE Number: 5895554
zbMATH Keywords: piecewise affine systems
zbMATH Keywords: hybrid systems
zbMATH Keywords: robust stability
zbMATH Keywords: input-to-state stability
describes a project that uses: SeDuMi
describes a project that uses: YALMIP
MaRDI profile type: Publication
full work available at URL: j.nahs.2007.11.005
OpenAlex ID: W2486863381
cites work: Nonlinear regulation: The piecewise linear approach
cites work: Equivalence of hybrid dynamical models
cites work: Further extensions to Chua's explicit piecewise linear function descriptions
cites work: A hybrid model predictive control approach to the direct torque control problem of induction motors
cites work: Q4417980
cites work: Hybrid Systems: Computation and Control
cites work: Analysis of discrete-time piecewise affine and hybrid systems
cites work: Stability analysis of piecewise discrete-time linear systems
cites work: Stability analysis and control synthesis for switched systems: a switched Lyapunov function approach
cites work: Further facts about input to state stabilization
cites work: Bounded State Reconstruction Error for LPV Systems With Estimated Parameters
cites work: Discrete-Time Non-smooth Nonlinear MPC: Stability and Robustness
cites work: Input-to-State Stability of Discontinuous Dynamical Systems with an Observer-Based Control Application
cites work: Input-to-state stability for discrete-time nonlinear systems
cites work: Linear Matrix Inequalities in System and Control Theory
cites work: A Lyapunov formulation of the nonlinear small-gain theorem for interconnected ISS systems
cites work: A unified framework for hybrid control: model and optimal control theory
cites work: Computation of piecewise quadratic Lyapunov functions for hybrid systems
DOI: 10.1016/J.NAHS.2007.11.005
description: scientific article; zbMATH DE number 5895554