Noisy Prediction-Based Control Leading to Stability Switch

Elena Braverman, Alexandra Rodkina

Applying Prediction-Based Control (PBC) $x_{n+1}=(1-{\alpha }_n)f(x_n)+{\alpha }_n{x}_n$ with stochastically perturbed control coefficient ${\alpha }_n=\alpha +\ell {\xi }_{n+1}$, $n\in \mathbb{N}$, where $\xi$ are bo…