4 papers
Stabilization of difference equations with noisy proportional feedback control
Elena Braverman, Alexandra Rodkina
Given a deterministic difference equation , we would like to stabilize any point , where is a unique maximum point of , by introducin…
Stabilisation of difference equations with noisy prediction-based control
Elena Braverman, Conall Kelly, Alexandra Rodkina
We consider the influence of stochastic perturbations on stability of a unique positive equilibrium of a difference equation subject to prediction-based control. These perturbation…
Stochastic difference equations with the Allee effect
Elena Braverman, Alexandra Rodkina
For a truncated stochastically perturbed equation with on , which corresponds to the Allee effect, we observe that for very s…
On convergence of solutions to difference equations with additive perturbations
Elena Braverman, Alexandra Rodkina
Various types of stabilizing controls lead to a deterministic difference equation with the following property: once the initial value is positive, the solution tends to the unique…