Matrix analysis
Control of Chaos: Methods and Applications. I. Methods
Automation and Remote Control
Stochastic sensitivity of 3D-cycles
Mathematics and Computers in Simulation
Control of Stochastically Perturbed Self-Oscillations
Automation and Remote Control
Stabilizing Chaos with Predictive Control
Automation and Remote Control
On control of stochastic sensitivity
Automation and Remote Control
On controlling stochastic sensitivity of oscillatory systems
Automation and Remote Control
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For a discrete nonlinear controlled stochastic system, we consider the scatter range of random states around the equilibrium. We consider the problem of designing a regulator that would allow to form a stable stationary probability distribution with a given covariance around this equilibrium. For small random perturbations, we propose to approximate the scatter range of trajectories in the neighborhood of a stable equilibrium with a stochastic sensitivity matrix. We pose the regulator design problem for a regulator that forms a desired stochastic sensitivity matrix in a controlled system. For the considered design problem, we introduce the notion of a reachability set and give its constructive description. The efficiency of the proposed approach is demonstrated on the example of controlling the stationary distribution on random states in stochastically perturbed Verhulst and Hénon models.