An introduction to difference equations
An introduction to difference equations
Stochastic sensitivity of 3D-cycles
Mathematics and Computers in Simulation
| Hi-index | 0.00 |
We consider a nonlinear discrete-time control system with regular and chaotic dynamics forced by stochastic disturbances. The problem addressed is a design of the feedback regulator which stabilizes cycles of the closed-loop deterministic system and synthesizes a required probabilistic distribution of random attractors for corresponding stochastic system. To solve this problem, we propose a new method based on the stochastic sensitivity function technique. We study a synthesis of the stochastic sensitivity function and constructive design of regulator parameters. An effectiveness of the proposed approach is demonstrated on the stochastic Verhulst model. It is shown that this regulator forms a stochastic attractor with low level of sensitivity and suppresses chaos.