1 citations · 1 across the 3 of their papers we have counts for
3 papers
Attractors of Linear Maps with Bounded Noise
Jeroen S. W. Lamb, Martin Rasmussen, Wei Hao Tey
We consider invertible linear maps with additive spherical bounded noise. We show that minimal attractors of such random dynamical systems are unique, strictly convex and have a co…
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…
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…