This article is cited in 2 papers

Stochastic Systems

Control of stochastically perturbed self-oscillations

I. A. Bashkirtseva, L. B. Ryashko

Ural State University, Yekaterinburg, Russia

Abstract: Control of the probabilistic distribution of the stochastic nonlinear self-oscillation cycle of a system to form a bundle of random trajectories with a given scatter about a deterministic limiting cycle is studied. A stochastic sensitivity function defining the Gaussian asymptote of the stationary distribution density is used a measure for the scatter. Complete controllability condition for a density cycle and optimal controller parameters are determined. The performance of designed methods is illustrated with an example on the design of controllers for a stochastically perturbed Brusselator.

Presented by the member of Editorial Board: B. M. Miller

Received: 15.09.2003

 English version: Automation and Remote Control, 2005, 66:6, 944–952

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