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math.DS2021
Representing and computing the B-derivative of an vector field's flow
George Council, Shai Revzen, Samuel A. Burden
This paper concerns the first-order approximation of the piecewise-differentiable flow generated by a class of nonsmooth vector fields. Specifically, we represent and compute the B…
math.DS2018
Generalizing infinitesimal contraction analysis to hybrid systems
Samuel A Burden, Samuel D Coogan
Infinitesimal contraction analysis, wherein global asymptotic convergence results are obtained from local dynamical properties, has proven to be a powerful tool for applications in…