Balancing with Reflex Delay

83 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

A spectral element approach for the stability of delay systems (2011, background): “Some examples include machining dynamics [2, 3], laser systems [4, 5], coupled delay-line oscillators [6], traffic models [7, 8], and human balance [9, 10].”
Updated semi‐discretization method for periodic delay‐differential equations with discrete delay (2004, background): “Delayed equations arise in several fields of science: in the digital control of robotics applications with information delay [15, 16], in neural network models, where the interactions of the neurons are delayed [17], or in delayed feedback control mechanism of human balancing [18, 19].”
On the Approximation of Delayed Systems by Taylor Series Expansion (2015, methodology): “In the first-order expansion, which is often used for the problem of delayed PD control [17,18], the critical delay is smaller by a factor of 1= ffiffiffi 2 p than the one corresponding to the original DDE.”
Control Principles of Complex Networks (2015, background): “1 Denote the angle between the stick 1 For a more realistic case, treating the stick as a rigid body of uniform desnity, see (Stépán and Kollár, 2000).”