Matrix analysis
Dexterity measures for the design and control of kinematically redundant manipulators
International Journal of Robotics Research
International Journal of Robotics Research
Advanced Robotics: Redundancy and Optimization
Advanced Robotics: Redundancy and Optimization
An Optimality Principle Governing Human Walking
IEEE Transactions on Robotics
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In this paper, a family of discriminant functions is defined for searching isotropic configurations in robot manipulators. A subfamily of the functions extensively exploits properties of symmetric polynomials derived from a manipulability matrix. The complexity analysis of computing the discriminant functions is provided. Possible applications of the functions are mentioned and illustrated.