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The Hannay-Berry Phase of the Vibrating Ring Gyroscop
(2004)
In an analysis published in 1890 G.H. Bryan investigated the retrograde precession of the nodal points in a vibrating, rotating shell and wrote down a formula relating the rate of precession to the rate of rotation. This ...
Degenerate Gradient Flows: A Comparison Study of Convergence Rate Estimates
(2002)
Degenerate gradient flows arise in the context of adaptive control of linear systems when the usual gradient algorithm is used for the parameter update law. It is well known that in general parameter convergence is not ...
The MDLe Engine -- A Software Tool for Hybrid Motion Control
(2000)
One of the important but often overlooked practical challenges in motion control for robotics and other autonomous machines has to do with the implementation of theoretical tools into software that will allow the system ...
The Berry-Hannay Phase of the Equal-Sided Spring-Jointed Four-Bar Mechanism
(2001)
In this work we apply the moving systems approach developed by Marsden, Montgomery, and Ratiu to a free-floating, equal-sided, spring-jointed, four-bar mechanism that is being slowly rotated about its central axis and ...
The Berry-Hannay Phase of the Equal-Sided, Spring-Jointed, Four-Bar Mechanism: A Detailed Story
(2002)
In this work we apply the moving systems approach developed by Marsden, Montgomery, and Ratiu to a free-floating, equal-sided, spring-jointed, four-bar mechanism that is being slowly rotated about its central axis and ...