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math.DS2016
Computing the Bouligand derivative of a class of piecewise-differentiable flows
Shai Revzen, Samuel A Burden
Event--selected vector fields yield piecewise-differentiable flows, which possess a continuous and piecewise-linear Bouligand (or B-)derivative; here we provide an algorithm…
math.DS2014
Event-Selected Vector Field Discontinuities Yield Piecewise-Differentiable Flows
Samuel A. Burden, S. Shankar Sastry, Daniel E. Koditschek +1
We study a class of discontinuous vector fields brought to our attention by multi-legged animal locomotion. Such vector fields arise not only in biomechanics, but also in robotics,…