Poincaré maps modeling and local orbital stability analysis of discontinuous piecewise affine periodically driven systems
type: Item
instance of: scholarly article
title: Poincaré maps modeling and local orbital stability analysis of discontinuous piecewise affine periodically driven systems
zbMATH Open document ID: 1193.70029
author: A. El Aroudi
author: Mohamed Debbat
author: Luis Martinez-Salamero
published in: Nonlinear Dynamics
publication date: 2009-09-22T00:00:00Z
Mathematics Subject Classification ID: 70K20
Mathematics Subject Classification ID: 70K42
Mathematics Subject Classification ID: 78A55
zbMATH DE Number: 5605873
zbMATH Keywords: MIMO systems
zbMATH Keywords: piecewise affine systems
zbMATH Keywords: discontinuous systems
zbMATH Keywords: switched systems
zbMATH Keywords: periodically driven systems
zbMATH Keywords: stability analysis
zbMATH Keywords: discrete time modeling
zbMATH Keywords: Poincaré map
MaRDI profile type: Publication
full work available at URL: s11071-006-9190-1
OpenAlex ID: W2013923299
cites work: Computation of piecewise quadratic Lyapunov functions for hybrid systems
cites work: Characterization of well-posedness of piecewise-linear systems
cites work: Switching in systems and control
cites work: Bifurcation Sets of Continuous Piecewise Linear Systems with Two Zones
cites work: Dynamics and bifurcations of non-smooth mechanical systems
cites work: Bifurcations and chaos in converters. Discontinuous vector fields and singular Poincaré maps
cites work: Bifurcations in two-dimensional piecewise smooth maps -- theory and applications in switching circuits.
cites work: Robust feedback stabilization of limit cycles in PWM DC-DC converters
cites work: BIFURCATIONS IN DC–DC SWITCHING CONVERTERS: REVIEW OF METHODS AND APPLICATIONS
cites work: Variable structure control of a class of uncertain systems.
cites work: Corner collision implies border-collision bifurcation
cites work: Torus birth bifurcations in a DC/DC converter
cites work: Border collision route to quasiperiodicity: Numerical investigation and experimental confirmation
DOI: 10.1007/S11071-006-9190-1
description: scientific article; zbMATH DE number 5605873