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Title: Control of confidence domains in the problem of stochastic attractors synthesis

A nonlinear stochastic control system is considered. We discuss a problem of the synthesis of stochastic attractors and suggest a constructive approach based on the design of the stochastic sensitivity and corresponding confidence domains. Details of this approach are demonstrated for the problem of the control of confidence ellipses near the equilibrium. An example of the control for stochastic Van der Pol equation is presented.
Authors:
 [1]
  1. Ural Federal University, Lenina 51, Ekaterinburg, 620083 (Russian Federation)
Publication Date:
OSTI Identifier:
22391161
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1648; Journal Issue: 1; Conference: ICNAAM-2014: International Conference on Numerical Analysis and Applied Mathematics 2014, Rhodes (Greece), 22-28 Sep 2014; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ATTRACTORS; CONTROL SYSTEMS; DIFFERENTIAL EQUATIONS; EQUILIBRIUM; NONLINEAR PROBLEMS; SENSITIVITY; STOCHASTIC PROCESSES; SYNTHESIS