Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  deals with the properties of a dynamical systems expressed in terms of so called the eigen-factor quasi-coordinate velocities. Using these variables  can diagonalize the mass matrix of a manipulator which implies that at each fixed time instant each joint equation is decoupled from all of the other joint equations. It is shown that the structure of dynamic equations of motion in terms of the eigen-factor quasi-coordinate velocities enables different insights into the manipulator behavior as compared to classical equations.  point out differences beten the two formulations.
['Przemyslaw Herman', 'Krzysztof Kozlowski']
I am writing a research paper on a idea Some properties of dynamic equations of motion in terms of the eigen-factor quasi-coordinate velocity vector
[{"from": "human", "value": "I am writing a research paper on a idea Some properties of dynamic equations of motion in terms of the eigen-factor quasi-coordinate velocity vector"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  deals with the properties of a dynamical systems expressed in terms of so called the eigen-factor quasi-coordinate velocities. Using these variables  can diagonalize the mass matrix of a manipulator which implies that at each fixed time instant each joint equation is decoupled from all of the other joint equations. It is shown that the structure of dynamic equations of motion in terms of the eigen-factor quasi-coordinate velocities enables different insights into the manipulator behavior as compared to classical equations.  point out differences beten the two formulations."}]