52 citations · 372 across the 36 of their papers we have counts for
Showing 2011Show all
3 papers · 1 filter
math-ph2011★ 26 cited
Hamilton-Jacobi Theory for Degenerate Lagrangian Systems with Holonomic and Nonholonomic Constraints
Melvin Leok, Tomoki Ohsawa, Diana Sosa
We extend Hamilton-Jacobi theory to Lagrange-Dirac (or implicit Lagrangian) systems, a generalized formulation of Lagrangian mechanics that can incorporate degenerate Lagrangians a…
math.OC2011★ 27 cited
Symmetry Reduction of Optimal Control Systems and Principal Connections
Tomoki Ohsawa
This paper explores the role of symmetries and reduction in nonlinear control and optimal control systems. The focus of the paper is to give a geometric framework of symmetry reduc…
math-ph2011★ 52 cited
Nonholonomic Hamilton-Jacobi Theory via Chaplygin Hamiltonization
Tomoki Ohsawa, Oscar E. Fernandez, Anthony M. Bloch +1
We develop Hamilton-Jacobi theory for Chaplygin systems, a certain class of nonholonomic mechanical systems with symmetries, using a technique called Hamiltonization, which transfo…