This final project focuses on the full analysis and implementation of Jacobian matrices for path and trajectory planning in a spherical manipulator. The spherical manipulator, with its three ...

Abstract: The Jacobian matrix is one of the important parameters for locomotion control of the quadruped robot. Based on the homogenous transformation matrix of the robot, Four Jacobian matrices of ...

Automatic differentiation has transformed the development of machine learning models by eliminating complex, application-dependent gradient derivations. This transformation helps to calculate Jacobian ...

Abstract: It was usually considered in power systems that power flow equations had multiple solutions and all the eigenvalues of Jacobian matrix at the high-voltage operable solution should have ...