Inverted pendulum stabilization: characterization of codimension-three triple zero bifurcation via multiple delayed proportional gains
type: Item
instance of: scholarly article
title: Inverted pendulum stabilization: characterization of codimension-three triple zero bifurcation via multiple delayed proportional gains
zbMATH Open document ID: 1327.93322
author: Islam Boussaada
author: Irinel-Constantin Morărescu
author: Silviu-Iulian Niculescu
published in: Systems \& Control Letters
publication date: 2015-12-21T00:00:00Z
Mathematics Subject Classification ID: 93D20
Mathematics Subject Classification ID: 93B60
Mathematics Subject Classification ID: 70Q05
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 93C15
zbMATH DE Number: 6522950
zbMATH Keywords: time-delay
zbMATH Keywords: stability
zbMATH Keywords: delayed feedback
zbMATH Keywords: nonhyperbolic dynamics
zbMATH Keywords: center manifold
zbMATH Keywords: normal forms
zbMATH Keywords: local bifurcation analysis
zbMATH Keywords: inverted pendulum
describes a project that uses: Maple
MaRDI profile type: Publication
full work available at URL: j.sysconle.2015.03.002
OpenAlex ID: W561938405
cites work: Balancing the inverted pendulum using position feedback
cites work: Dynamics of an Inverted Pendulum with Delayed Feedback Control
cites work: On global properties of passivity-based control of an inverted pendulum
cites work: Bifurcation analysis of an inverted pendulum with delayed feedback control near a triple-zero eigenvalue singularity
cites work: The time-delayed inverted pendulum: Implications for human balance control
cites work: Elements of applied bifurcation theory.
cites work: Proportional minus delay controller
cites work: Extending the permissible control loop latency for the controlled inverted pendulum
cites work: Static Output Feedback Sliding Mode Control Design via an Artificial Stabilizing Delay
cites work: Stabilizing a Chain of Integrators Using Multiple Delays
cites work: Q5645344
cites work: Static output feedback stabilization: necessary conditions for multiple delay controllers
cites work: Stability Crossing Curves of Shifted Gamma-Distributed Delay Systems
cites work: On stability crossing curves for general systems with two delays
cites work: On the geometry of stability regions of Smith predictors subject to delay uncertainty
cites work: Complete stability robustness of third-order LTI multiple time-delay systems
cites work: Semi-discretization for time-delay systems. Stability and engineering applications.
cites work: Stability and Stabilization of Time-Delay Systems
cites work: Delay equations. Functional-, complex-, and nonlinear analysis
cites work: Introduction to functional differential equations
cites work: Normal forms for retarded functional differential equations with parameters and applications to Hopf bifurcation
cites work: Q4177796
cites work: Differential-difference equations
cites work: An exact method for the stability analysis of time-delayed linear time-invariant (LTI) systems
cites work: Computational scheme of a center manifold for neutral functional differential equations
cites work: Nilpotent singularities in generic 4-parameter families of 3-dimensional vector fields
cites work: New aspects in the unfolding of the nilpotent singularity of codimension three
cites work: A NOTE ON THE TRIPLE-ZERO LINEAR DEGENERACY: NORMAL FORMS, DYNAMICAL AND BIFURCATION BEHAVIORS OF AN UNFOLDING
cites work: SOME RESULTS ON CHUA'S EQUATION NEAR A TRIPLE-ZERO LINEAR DEGENERACY
DOI: 10.1016/J.SYSCONLE.2015.03.002
description: scientific article; zbMATH DE number 6522950