Stabilizing multiple equilibria and cycles with noisy prediction-based control

Abstract

Pulse stabilization of cycles with Prediction-Based Control including noise and stochastic stabilization of maps with multiple equilibrium points is analyzed for continuous but, generally, non-smooth maps. Sufficient conditions of global stabilization are obtained. Introduction of noise can relax restrictions on the control intensity. We estimate how the control can be decreased with noise and verify it numerically.

28 pages, 9 figures

References in corpus (2)

• Stochastic control stabilizing unstable or chaotic maps
• Stabilization of cycles with stochastic prediction-based and target-oriented control