1 citations · 1 across the 2 of their papers we have counts for
4 papers
Lie Algebraic Cost Function Design for Control on Lie Groups
Sangli Teng, William Clark, Anthony Bloch +2
This paper presents a control framework on Lie groups by designing the control objective in its Lie algebra. Control on Lie groups is challenging due to its nonlinear nature and di…
How do we walk? Using hybrid holonomy to approximate non-holonomic systems
Maria Oprea, William Clark
Why do we move forward when we walk? Our legs undergo periodic motion and thus possess no net change in position; however, our bodies do possess a net change in position and we are…
The Bouncing Penny and Nonholonomic Impacts
William Clark, Anthony Bloch
The evolution of a Lagrangian mechanical system is variational. Likewise, when dealing with a hybrid Lagrangian system (a system with discontinuous impacts), the impacts can also b…
Optimal Control of Quantum Purity for Systems
William Clark, Anthony Bloch, Leonardo Colombo +1
The objective of this work is to study time-minimum and energy-minimum global optimal control for dissipative open quantum systems whose dynamics is governed by the Lindblad equati…