E. I. Nelayeva
Papers
2
Total Citations
6
H-Index
2
About
E. I. Nelayeva is a researcher specializing in robotics, kinematics, and advanced mathematical frameworks for manipulator control. Her work focuses on applying sophisticated algebraic tools — specifically dual matrices, Clifford biquaternions, and dual cosine matrices — to solve fundamental challenges in robotic arm motion planning and control. Nelayeva's most notable contributions appear in her two-part series (2015) on direct and inverse kinematics of robot manipulators, using the Stanford robot arm as a demonstrative platform. In the first part, she develops kinematic equations through dual cosine matrices and Clifford biquaternions, providing an elegant mathematical foundation for forward kinematics. The second part advances this work by introducing a biquaternion-based method for solving inverse kinematics, reducing the problem to solving a Cauchy problem for differential kinematic equations — a meaningful simplification with practical implications for real-time robotic control. Together, these papers have garnered 6 citations, reflecting growing interest in mathematically rigorous approaches to manipulator kinematics. Her research sits at the intersection of applied mathematics and robotics engineering, offering tools that could enhance the precision and computational efficiency of robotic systems. Students exploring advanced kinematics or algebraic methods in robotics will find her work a valuable theoretical reference.
Research Focus
Key Achievements
Top Papers
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