106 citations · 677 across the 72 of their papers we have counts for
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math.OC2009★ 42 cited
Discrete Hamilton-Jacobi Theory
Tomoki Ohsawa, Anthony M. Bloch, Melvin Leok
We develop a discrete analogue of Hamilton-Jacobi theory in the framework of discrete Hamiltonian mechanics. The resulting discrete Hamilton-Jacobi equation is discrete only in tim…
math.OC2009
Computational Geometric Optimal Control of Connected Rigid Bodies in a Perfect Fluid
Taeyoung Lee, Melvin Leok, N. Harris McClamroch
This paper formulates an optimal control problem for a system of rigid bodies that are connected by ball joints and immersed in an irrotational and incompressible fluid. The rigid…