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" preprint (opens in a new window) and published article (opens in a new window).
• "Existence of invariant volumes in nonholonomic systems subject to nonlinear constraints" preprint (opens in a new window) and published article (opens in a new window)
• "Nonparametric Continuous Sensor Registration" preprint (opens in a new window) and published articl (opens in a new window)e
• "A Poincaré-Bendixson Theorem for Hybrid Systems" published article (opens in a new window)
• "How do we walk? Using hybrid holonomy to approximate non-holonomic systems" published article (opens in a new window)
• "Optimality of Zeno Executions in Hybrid Systems" published article (opens in a new window)

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