A Theoretical Dynamical Noninteracting Model for General Manipulation Systems Using Axiomatic Geometric Structures

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A Theoretical Dynamical Noninteracting Model for General Manipulation Systems Using Axiomatic Geometric Structures. / Mercorelli, Paolo.
In: Axioms, Vol. 11, No. 7, 309, 01.07.2022.

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@article{fa13bba579d740e4b556da69cc4c04b1,
title = "A Theoretical Dynamical Noninteracting Model for General Manipulation Systems Using Axiomatic Geometric Structures",
abstract = "This paper presents a new theoretical approach to the study of robotics manipulators dynamics. It is based on the well-known geometric approach to system dynamics, according to which some axiomatic definitions of geometric structures concerning invariant subspaces are used. In such a framework, certain typical problems in robotics are mathematically formalised and analysed in axiomatic form. The outcomes are sufficiently general that it is possible to discuss the structural properties of robotic manipulation. A generalized theoretical linear model is used, and a thorough analysis is made. The noninteracting nature of this model is also proven through a specific theorem.",
keywords = "geometric approach, manipulation system, noninteraction, Engineering",
author = "Paolo Mercorelli",
note = "Publisher Copyright: {\textcopyright} 2022 by the authors. Licensee MDPI, Basel, Switzerland.",
year = "2022",
month = jul,
day = "1",
doi = "10.3390/axioms11070309",
language = "English",
volume = "11",
journal = "Axioms",
issn = "2075-1680",
publisher = "MDPI AG",
number = "7",

}

RIS

TY - JOUR

T1 - A Theoretical Dynamical Noninteracting Model for General Manipulation Systems Using Axiomatic Geometric Structures

AU - Mercorelli, Paolo

N1 - Publisher Copyright: © 2022 by the authors. Licensee MDPI, Basel, Switzerland.

PY - 2022/7/1

Y1 - 2022/7/1

N2 - This paper presents a new theoretical approach to the study of robotics manipulators dynamics. It is based on the well-known geometric approach to system dynamics, according to which some axiomatic definitions of geometric structures concerning invariant subspaces are used. In such a framework, certain typical problems in robotics are mathematically formalised and analysed in axiomatic form. The outcomes are sufficiently general that it is possible to discuss the structural properties of robotic manipulation. A generalized theoretical linear model is used, and a thorough analysis is made. The noninteracting nature of this model is also proven through a specific theorem.

AB - This paper presents a new theoretical approach to the study of robotics manipulators dynamics. It is based on the well-known geometric approach to system dynamics, according to which some axiomatic definitions of geometric structures concerning invariant subspaces are used. In such a framework, certain typical problems in robotics are mathematically formalised and analysed in axiomatic form. The outcomes are sufficiently general that it is possible to discuss the structural properties of robotic manipulation. A generalized theoretical linear model is used, and a thorough analysis is made. The noninteracting nature of this model is also proven through a specific theorem.

KW - geometric approach

KW - manipulation system

KW - noninteraction

KW - Engineering

UR - http://www.scopus.com/inward/record.url?scp=85133265738&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/6b6567b3-d859-3038-a2fa-a2bfd995b8dd/

U2 - 10.3390/axioms11070309

DO - 10.3390/axioms11070309

M3 - Journal articles

AN - SCOPUS:85133265738

VL - 11

JO - Axioms

JF - Axioms

SN - 2075-1680

IS - 7

M1 - 309

ER -

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