Alexander P. Morgan

Papers

Total Citations

282

H-Index

About

Alexander P. Morgan is a pioneering figure in robotics and applied mathematics, best known for his groundbreaking work on the kinematics of general manipulators. His most influential contribution, the 1985 paper "Solving the Kinematics of the Most General Six- and Five-Degree-of-Freedom Manipulators by Continuation Methods" (282 citations), revolutionized the field by introducing a novel continuation method to solve the notoriously complex inverse kinematics problem for six-revolute-joint robots. This approach provided a robust, numerical framework for computing all possible configurations corresponding to a given hand position—a challenge that had long resisted analytical solutions. Morgan's work bridged pure mathematics and engineering, demonstrating how polynomial continuation could tackle real-world robotic design and control. Beyond this landmark paper, his research has advanced numerical methods for nonlinear systems, impacting areas from mechanism design to computer-aided geometry. A key achievement, his contributions remain foundational for modern robotics, enabling more precise and versatile manipulator control. For students and researchers, Morgan exemplifies how deep mathematical insight can drive practical innovation, making complex kinematic problems tractable and inspiring generations of work in robotics and computational mathematics.