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Optimality of Zeno Executions in Hybrid Systems
William Clark, Maria Oprea
A unique feature of hybrid dynamical systems (systems whose evolution is subject to both continuous- and discrete-time laws) is Zeno trajectories. Usually these trajectories are av…
Optimal Control of Nonholonomic Systems via Magnetic Fields
Maria Oprea, Max Ruth, Dora Kassabova +1
Geometric optimal control utilizes tools from differential geometry to analyze the structure of a problem to determine the control and state trajectories to reach a desired outcome…
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…
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…