3 papers
eess.SY2026
Dissipation-assisted stabilization of periodic orbits via actuated exterior impacts in hybrid mechanical systems with symmetry
William Clark, Leonardo Colombo, Anthony Bloch
Impulsive mechanical systems exhibit discontinuous jumps in their state, and when such jumps are triggered by spatial events, the geometry of the impact surface carries information…
math.OC2025
Symplectic Geometry in Hybrid and Impulsive Optimal Control
William Clark, Maria Oprea
Hybrid dynamical systems are systems which undergo both continuous and discrete transitions. The Bolza problem from optimal control theory was applied to these systems and a hybrid…
eess.SY2024
A Generalized Metriplectic System via Free Energy and System~Identification via Bilevel Convex Optimization
Sangli Teng, Kaito Iwasaki, William Clark +4
This work generalizes the classical metriplectic formalism to model Hamiltonian systems with nonconservative dissipation. Classical metriplectic representations allow for the descr…