summary:In this paper the notion of robot-manipulators in the Euclidean space is generalized to the case in a general homogeneous space with the Lie group $G$ of motions. Some kinematic subspaces of the Lie algebra $\Cal G$ (the subspaces of velocity operators, of Coriolis acceleration operators, asymptotic subspaces) are introduced and by them asymptotic and geodesic motions are described
Just as the 3-D Euclidean space can be inverted through any of its points, the special Euclidean gro...
Limit transitions are constructed between the generators (Casimir operators) of the center of the un...
Asymptotic geometry is the study of metric spaces from a large scale point of view, where the local ...
summary:In this paper the notion of robot-manipulators in the Euclidean space is generalized to the ...
Abstract. The paper deals with asymptotic motions of 3-parametric robot manipulators with parallel r...
summary:The paper deals with asymptotic motions of 3-parametric robot manipulators with parallel rot...
The usefulness in control theory of the geometric theory of motion on Lie groups and homogeneous spa...
This diploma thesis deals with the kinematic and robotic implications of Lie theory. In the introduc...
summary:There exist many examples of closed kinematical chains which have a freedom of motion, but t...
none3siPublished online: 27 Jun 2016Being a Lie group, the group SE(3) of orientation preserving mot...
The special Euclidean group SE(3) is a symmetric space under inversion symmetry. It admits seven con...
It will be shown that together with the traditional problems of motions of systems whose configurati...
summary:Let $SE(3)$ be the Lie group of all Euclidean motions in the Euclidean space $E_{3}$, let $...
summary:Restricting his considerations to the Euclidean plane, the author shows a method leading to ...
summary:A $p$-parametric robot manipulator is a mapping $g$ of $\mathbb{R}^p$ into the homogeneous s...
Just as the 3-D Euclidean space can be inverted through any of its points, the special Euclidean gro...
Limit transitions are constructed between the generators (Casimir operators) of the center of the un...
Asymptotic geometry is the study of metric spaces from a large scale point of view, where the local ...
summary:In this paper the notion of robot-manipulators in the Euclidean space is generalized to the ...
Abstract. The paper deals with asymptotic motions of 3-parametric robot manipulators with parallel r...
summary:The paper deals with asymptotic motions of 3-parametric robot manipulators with parallel rot...
The usefulness in control theory of the geometric theory of motion on Lie groups and homogeneous spa...
This diploma thesis deals with the kinematic and robotic implications of Lie theory. In the introduc...
summary:There exist many examples of closed kinematical chains which have a freedom of motion, but t...
none3siPublished online: 27 Jun 2016Being a Lie group, the group SE(3) of orientation preserving mot...
The special Euclidean group SE(3) is a symmetric space under inversion symmetry. It admits seven con...
It will be shown that together with the traditional problems of motions of systems whose configurati...
summary:Let $SE(3)$ be the Lie group of all Euclidean motions in the Euclidean space $E_{3}$, let $...
summary:Restricting his considerations to the Euclidean plane, the author shows a method leading to ...
summary:A $p$-parametric robot manipulator is a mapping $g$ of $\mathbb{R}^p$ into the homogeneous s...
Just as the 3-D Euclidean space can be inverted through any of its points, the special Euclidean gro...
Limit transitions are constructed between the generators (Casimir operators) of the center of the un...
Asymptotic geometry is the study of metric spaces from a large scale point of view, where the local ...
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