49 citations · 187 across the 23 of their papers we have counts for
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math.OC2014
Approximation of reachable sets using optimal control and support vector machines
Martin Rasmussen, Janosch Rieger, Kevin Webster
We propose and discuss a new computational method for the numerical approximation of reachable sets for nonlinear control systems. It is based on the support vector machine algorit…
math.DS2014
The mean-square dichotomy spectrum and a bifurcation to a mean-square attractor
Thai Son Doan, Martin Rasmussen, Peter E. Kloeden
The dichotomy spectrum is introduced for linear mean-square random dynamical systems, and it is shown that for finite-dimensional mean-field stochastic differential equations, the…