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Title: Control of stochastic sensitivity in a stabilization problem for gas discharge system

We consider a nonlinear dynamic stochastic system with control. A problem of stochastic sensitivity synthesis of the equilibrium is studied. A mathematical technique of the solution of this problem is discussed. This technique is applied to the problem of the stabilization of the operating mode for the stochastic gas discharge system. We construct a feedback regulator that reduces the stochastic sensitivity of the equilibrium, suppresses large-amplitude oscillations, and provides a proper operation of this engineering device.
Authors:
 [1]
  1. Ural Federal University, Lenina, 51, Ekaterinburg, 620000 (Russian Federation)
Publication Date:
OSTI Identifier:
22496236
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1690; Journal Issue: 1; Conference: AMEE '15: 41. international conference on applications of mathematics in engineering and economics, Sozopol (Bulgaria), 8-13 Jun 2015; 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; AMPLITUDES; CONTROL; ENGINEERING; EQUILIBRIUM; EQUIPMENT; FEEDBACK; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; OSCILLATIONS; SENSITIVITY; STABILIZATION; STOCHASTIC PROCESSES