Controlling the Stochastic Sensitivity in Nonlinear Discrete-Time Systems with Incomplete Information

Lev Ryashko and Irina Bashkirtseva

Discrete Dynamics in Nature and Society, 2015, vol. 2015, 1-5

Abstract:

For stochastic nonlinear discrete-time system with incomplete information, a problem of the stabilization of equilibrium is considered. Our approach uses a regulator which synthesizes the required stochastic sensitivity. Mathematically, this problem is reduced to the solution of some quadratic matrix equations. A description of attainability sets and algorithms for regulators design is given. The general results are applied to the suppression of unwanted large-amplitude oscillations around the equilibria of the stochastically forced Verhulst model with noisy observations.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:658048

DOI: 10.1155/2015/658048

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