This note concerns the distribution of Skew Brownian motion with dry friction and its occupation time. These distributions were obtained in Berezin Zayats (2019) by using Laplace transform joint characteristic functions. We provide an alternative approach, which is based on use density for motion, last visit to origin, local times derived Gairat Shcherbakov (2017).

The effect of friction on nonlinear dynamics and vibration total knee arthroplasties is yet to be investigated understood. This research work aims at studying the influence dynamics, friction-induced vibration, damage tibiofemoral joints. For this purpose, a spatial dynamic model developed using an asymmetric elastic accounting for joint ligaments penalty contact compute normal stresses in whil...

A new nonlinear disturbance observer (NDO) for robotic manipulators is derived in this paper. The global exponential stability of the proposed disturbance observer (DO) is guaranteed by selecting design parameters, which depend on the maximum velocity and physical parameters of robotic manipulators. This new observer overcomes the disadvantages of existing DO’s, which are designed or analyzed b...