The Experts below are selected from a list of 81 Experts worldwide ranked by ideXlab platform
V. N. Kondratyev - One of the best experts on this subject based on the ideXlab platform.
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Integral and differential alignment of the M-shell vacancies in ion-atom collisions
Lecture Notes in Physics, 1Co-Authors: N. M. Kabachnik, V. N. KondratyevAbstract:The method used in this work for calculating the integral and differential alignment of the vacancies produced in ion-atom collisions, based on SCA with Tangential Approximation of ion trajectory and with the Hartree-Slater wave functions, makes it possible to describe properly the available experimental data on integral alignment of the M-subshells. Investigation of the M-shell differential alignment has demonstrated taht the impact parameter dependence of the alignment is of a complicated character determined by the form of the initial electron wave function and by the features of the ionisation mechanism. It is desirable that the differential alignment be studied experimentally.
Yunjiang Lou - One of the best experts on this subject based on the ideXlab platform.
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A Novel Contouring Error Estimation for Three-Dimensional Contouring Control
IEEE Robotics and Automation Letters, 2017Co-Authors: Ran Shi, Yunjiang LouAbstract:In this paper, a novel contouring error estimation based on the canonical Approximation is proposed, which is applicable for three-dimensional contours. The Approximation is derived from the Taylor expansion locally of the desired contour. It retains major geometric properties of a spatial curve, curvature and torsion. A systematic analysis and comparison is presented for the Tangential Approximation, the circular Approximation, and the proposed canonical Approximation. By transforming the identified dynamic model into local Frenet frame, contouring controllers are designed based on the estimated contouring errors using the three Approximations. Experiments are conducted in a three-axis servo system for a cylindrical helix contour with different feed rates. The contouring error performance based on the proposed canonical Approximation exhibits 70% and 36% improvement than those based on the Tangential and the circular Approximations, respectively.
N. M. Kabachnik - One of the best experts on this subject based on the ideXlab platform.
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Integral and differential alignment of the M-shell vacancies in ion-atom collisions
Lecture Notes in Physics, 1Co-Authors: N. M. Kabachnik, V. N. KondratyevAbstract:The method used in this work for calculating the integral and differential alignment of the vacancies produced in ion-atom collisions, based on SCA with Tangential Approximation of ion trajectory and with the Hartree-Slater wave functions, makes it possible to describe properly the available experimental data on integral alignment of the M-subshells. Investigation of the M-shell differential alignment has demonstrated taht the impact parameter dependence of the alignment is of a complicated character determined by the form of the initial electron wave function and by the features of the ionisation mechanism. It is desirable that the differential alignment be studied experimentally.
Ran Shi - One of the best experts on this subject based on the ideXlab platform.
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A Novel Contouring Error Estimation for Three-Dimensional Contouring Control
IEEE Robotics and Automation Letters, 2017Co-Authors: Ran Shi, Yunjiang LouAbstract:In this paper, a novel contouring error estimation based on the canonical Approximation is proposed, which is applicable for three-dimensional contours. The Approximation is derived from the Taylor expansion locally of the desired contour. It retains major geometric properties of a spatial curve, curvature and torsion. A systematic analysis and comparison is presented for the Tangential Approximation, the circular Approximation, and the proposed canonical Approximation. By transforming the identified dynamic model into local Frenet frame, contouring controllers are designed based on the estimated contouring errors using the three Approximations. Experiments are conducted in a three-axis servo system for a cylindrical helix contour with different feed rates. The contouring error performance based on the proposed canonical Approximation exhibits 70% and 36% improvement than those based on the Tangential and the circular Approximations, respectively.
Alexander D. Ioffe - One of the best experts on this subject based on the ideXlab platform.
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On primal regularity estimates for single-valued mappings
Journal of Fixed Point Theory and Applications, 2015Co-Authors: Radek Cibulka, Marián Fabian, Alexander D. IoffeAbstract:Based on a primal regularity criterion we provide lower bounds for the regularity modulus of a nonlinear single-valued mapping F from a Banach space X into another Banach space Y . We focus on the case when F is defined on a proper (closed convex) subset of X only rather than on the whole of X . Three possible ways of approximating F around the reference point are considered. First, we use a Tangential Approximation by set-valued mappings associated with the Bouligand’s tangent cone to the graph of F . Then we move on to Approximations by positively homogeneous set-valued mappings whose graphs contain the graph of F , for example, by the strict prederivative. Finally, we use an Approximation by bunches of continuous linear operators. In the first two cases finding approximating objects is relatively easy while in the third case the approximating object is very convenient to work with. On examples, we illustrate that these approaches are different and neither of them implies the other, unless the spaces in question are finite dimensional.