Controlling Stochastic Sensitivity by Feedback Regulators in Nonlinear Dynamical Systems with Incomplete Information

The problem of synthesis stochastic sensitivity for equilibrium modes in nonlinear randomly forced dynamical systems with incomplete information is considered. We construct a feedback regulator that uses noisy data on some system state coordinates. For parameters the providing assigned sensitivity, quadratic matrix equation derived. Attainability reduced to solvability this equation. suggest constructive algorithm solving These general theoretical results are used solve stabilizing oscillators under conditions information. Details our approach illustrated example van der Pol oscillator.