Applications of a noncommutative jacobian matrix
نویسندگان
چکیده
منابع مشابه
A Random Matrix Approach to Manipulator Jacobian
Traditional kinematic analysis of manipulators, built upon a deterministic articulated kinematic modeling often proves inadequate to capture uncertainties affecting the performance of the real robotic systems. While a probabilistic framework is necessary to characterize the system response variability, the random variable/vector based approaches are unable to effectively and efficiently charact...
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Indecomposable polynomials are a special class of absolutely irreducible polynomials. Some improvements of important effective results on absolute irreducibility have recently appeared using Ruppert’s matrix. In a similar way, we show in this paper that the use of a Jacobian matrix gives sharp bounds for the indecomposability problem.
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Manipulator kinetostatic performances are usually investigated considering only the geometrical structure of the robot, neglecting the effect of the drive system. In some circumstances this approach may leads to errors and mistakes. This may happen if the actuators are not identical to each other or when the employed transmission ratio are not identical and/or not constant. The paper introduces...
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Let f ∈ C[x, y] be a polynomial in two variables with complex coefficients. f is said to be a component of an automorphism if there exists a polynomial g ∈ C[x, y] such that F := (f, g) : C −→ C is a polynomial automorphism of C (i.e. there exists F and it is also polynomial). In turn, f is said to be a Keller’s component if there exists g ∈ C[x, y] such that the jacobian Jac(f, g) of the mappi...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1992
ISSN: 0022-4049
DOI: 10.1016/0022-4049(92)90083-r