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

Journal Article · Mon Nov 30 00:00:00 EST 2015 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4936690· OSTI ID:22496236

Bashkirtseva, Irina ^[1]

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1. Ural Federal University, Lenina, 51, Ekaterinburg, 620000 (Russian Federation)

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.

• OSTI ID: 22496236
• Journal Information: AIP Conference Proceedings, Vol. 1690, 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); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AMPLITUDES
CONTROL
ENGINEERING
EQUILIBRIUM
EQUIPMENT
FEEDBACK
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS
OSCILLATIONS
SENSITIVITY
STABILIZATION
STOCHASTIC PROCESSES