21 citations · 38 across the 6 of their papers we have counts for
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math-ph2011
Kinematic reduction and the Hamilton-Jacobi equation
María Barbero-Liñán, Manuel de León, Juan Carlos Marrero +2
A close relationship between the classical Hamilton-Jacobi theory and the kinematic reduction of control systems by decoupling vector fields is shown in this paper. The geometric i…
math.OC2011
Characterization of accessibility for affine connection control systems at some points with nonzero velocity
María Barbero-Liñán
Affine connection control systems are mechanical control systems that model a wide range of real systems such as robotic legs, hovercrafts, planar rigid bodies, rolling pennies, sn…