Tremor Estimation and Removal in Robot-Assisted Surgery Using Lie Groups and EKF
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DOI: 10.1017/s0263574719000341
Abstract: Summary This paper aims at estimating the tremor torque using extended Kalman filter (EKF) applied to a two-link 3-DOF robot with nonlinear dynamics modelled using Lie-group and Lie-algebra theory. Later, it is generalised to d… read more here.
Keywords: using lie; tremor; torque; tremor estimation ... See more keywords
Construction of representations of Poincaré group using Lie fields
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DOI: 10.1063/1.4993153
Abstract: In this paper, we give an explicit construction of the unitary irreducible representations of the Poincare groups in 2, 3, and 4 space-time dimensions on Hilbert spaces associated with the Schrodinger representation of the Weyl… read more here.
Keywords: using lie; construction; poincar group; representations poincar ... See more keywords
Solutions of 2-D Bratu Equations Using Lie Group Method
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DOI: 10.3390/sym14122635
Abstract: In this study, the nonlinear term in the two-dimensional Bratu equation has been replaced by its Taylor’s expansion. Hence, the resulting nonlinear partial differential equation has been studied using the Lie group method. The symmetry… read more here.
Keywords: differential equations; using lie; group method; lie group ... See more keywords