William Clark

Education

• B.S. Ohio University, 2015 in Mechanical Engineering
• Ph.D. University of Michigan, 2020 in Applied & Interdisciplinary Mathematics

Selected Publications

• " Invariant Forms in Hybrid and Impact Systems and a Taming of Zeno "
• " Existence of invariant volumes in nonholonomic systems subject to nonlinear constraints "
• " Nonparametric Continuous Sensor Registration "
• " A Poincaré-Bendixson Theorem for Hybrid Systems "
• " How do we walk? Using hybrid holonomy to approximate non-holonomic systems "
• " Optimality of Zeno Executions in Hybrid Systems "

Research Interests

• Geometric Mechanics: Lagrangian/Hamiltonian and nonholonomic systems, their stability and control
• Hybrid systems: Stability and invariants in hybrid/impact systems with applications to the Zeno phenomenon
• Robotic perception: Geometric and gradient for aligning data and pose estimation with applications to machine learning