Geometric control
Lie groups, symmetry, and optimal control as tools for understanding and designing motion.
Postdoctoral Scholar · University of South Florida
Geometry, motion, and the control of robotic systems.
I study how geometry can help us understand and control movement, from coordinated groups of agents to robots that interact with people.
A little background
I am a Postdoctoral Scholar at the University of South Florida, working with Professor Udit Halder. My research connects geometric control, motion planning, and human–robot interaction, with recent work on collective motion and soft robotic grasping.
I received my Ph.D. in Electrical Engineering from the University of Maryland, College Park in 2025, advised by Professor P. S. Krishnaprasad. My dissertation developed geometric models of human movement and control methods for interacting agents using Lie groups and equi-affine geometry.
Research groupQuestions that drive my work
Understanding movement.
Designing interaction.
Lie groups, symmetry, and optimal control as tools for understanding and designing motion.
Feedback control and leader–follower coordination in multi-agent systems.
Equi-affine models of human motion and geometry-based approaches to soft robotic grasping.
Papers & dissertation
Journal article
IEEE Control Systems Letters
Speed regulation for leader–follower formations, with stability analysis and mobile-robot experiments.
@article{li2026feedback,
title={On Feedback Speed Control for a Planar Tracking},
author={Li, Xincheng and Liu, Tengyue and Halder, Udit},
journal={IEEE Control Systems Letters},
year={2026},
doi={10.1109/LCSYS.2026.3708578}
}
Accepted conference paper
IEEE Conference on Decision and Control (CDC), accepted
A geometric framework for shaping a soft continuum arm around an object and assessing grasp quality.
@misc{halder2026kinematics,
title={Kinematics of continuum planar grasping},
author={Halder, Udit and Echeverria Zambrano, Nicolas and Li, Xincheng},
year={2026},
eprint={2604.09800},
archivePrefix={arXiv},
primaryClass={cs.RO},
note={Accepted at IEEE CDC 2026},
url={https://arxiv.org/abs/2604.09800}
}
Doctoral dissertation
University of Maryland, College Park
Equi-affine geometry and optimal control for modeling human movement and coordinating interacting agents.
@phdthesis{li2025symmetry,
title={Symmetry and Motion: Geometric Control of Human Agents},
author={Li, Xincheng},
school={University of Maryland, College Park},
year={2025},
doi={10.13016/rglm-vbqv}
}
Theory into practice
Research
Coordinating leader–follower motion through feedback speed control, from mathematical analysis to robot experiments.
Read the researchResearch
Modeling the relationship between an object's boundary and a soft arm to design grasping configurations.
Read the researchSoftware
A compact PyTorch experiment that makes the reverse diffusion process visible through a two-dimensional line-generation task.
Explore the codeExperience & education
Academic background, selected work, and research experience.
Get in touch
For research conversations and collaboration, please reach out.
xincheng@usf.edu