Stick balancing with reflex delay in case of parametric forcing

DOI10.1016/j.cnsns.2010.07.025zbMath1221.70044OpenAlexW2077815412MaRDI QIDQ718521

Tamas Insperger

Publication date: 23 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2010.07.025

zbMATH Keywords

stabilitytime-delayinverted pendulumsemi-discretization

Mathematics Subject Classification ID

Control of mechanical systems (70Q05)

Related Items (10)

Positive definiteness of a family of functions ⋮ Chenciner bubbles and torus break-up in a periodically forced delay differential equation ⋮ Mittag-Leffler vector random fields with Mittag-Leffler direct and cross covariance functions ⋮ Vibrational control without averaging ⋮ Variogram matrix functions for vector random fields with second-order increments ⋮ Stationary and isotropic vector random fields on spheres ⋮ Complex-valued random fields for vectorial data: estimating and modeling aspects ⋮ Sensory uncertainty and stick balancing at the fingertip ⋮ The effect of state dependence in a delay differential equation model for the El Niño Southern Oscillation ⋮ Nonlinear effects of instantaneous and delayed state dependence in a delayed feedback loop

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A method of continuous time approximation of delayed dynamical systems
• Control studies of time-delayed dynamical systems with the method of continuous time approximation
• Performance limitations from delay in human and mechanical motor control
• Balancing with reflex delay.
• Complex balancing motions of an inverted pendulum subject to delayed feedback control
• On the semi-discretization method for feedback control design of linear systems with time delay
• Balancing with positive feedback: the case for discontinuous control
• Delay effects in the human sensory system during balancing
• Stability of the Inverted Pendulum—A Topological Explanation
• Stability of linear time-periodic delay-differential equations via Chebyshev polynomials
• Computing the characteristic roots for delay differential equations
• Stability chart for the delayed Mathieu equation
• Semi-discretization method for delayed systems
• The time-delayed inverted pendulum: Implications for human balance control
• Continuation of Bifurcations in Periodic Delay‐Differential Equations Using Characteristic Matrices
• Stability of Delay Equations Written as State Space Models
• Dynamics of an Inverted Pendulum with Delayed Feedback Control

This page was built for publication: Stick balancing with reflex delay in case of parametric forcing