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Control of a noise-induced transition in a nonlinear dynamical system. / Astrov, Yu A.; Fradkov, A. L.; Guzenko, P. Yu.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 77, No. 2, 026201, 01.02.2008.

Research output: Contribution to journal › Article › peer-review

Harvard

Astrov, YA, Fradkov, AL & Guzenko, PY 2008, 'Control of a noise-induced transition in a nonlinear dynamical system', Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 77, no. 2, 026201. https://doi.org/10.1103/PhysRevE.77.026201

APA

Astrov, Y. A., Fradkov, A. L., & Guzenko, P. Y. (2008). Control of a noise-induced transition in a nonlinear dynamical system. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 77(2), [026201]. https://doi.org/10.1103/PhysRevE.77.026201

Vancouver

Astrov YA, Fradkov AL, Guzenko PY. Control of a noise-induced transition in a nonlinear dynamical system. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 2008 Feb 1;77(2). 026201. https://doi.org/10.1103/PhysRevE.77.026201

Author

Astrov, Yu A. ; Fradkov, A. L. ; Guzenko, P. Yu. / Control of a noise-induced transition in a nonlinear dynamical system. In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 2008 ; Vol. 77, No. 2.

BibTeX

@article{e287424f60de45dba33de55435658f47,
title = "Control of a noise-induced transition in a nonlinear dynamical system",
abstract = "Feedback control is applied to change conditions of a noise-induced transition in a nonlinear second order dynamic system. The mathematical model used in the analysis is a system of two-component equations describing operation of a semiconductor-gas-discharge image converter. The control algorithm is proposed using the speed-gradient method for a linearized model system. It is found by computer simulations that, under conditions when the noise is effective in determining the destructive dynamics of the system without control, the role of noise can be essentially suppressed by a proper feedback control. The control efficiency depends on the amplitude of control signal in a nonmonotonic way, thus demonstrating a resonancelike regularity. Application of the proposed control method can be useful in solving other problems, such as providing survival of endangered species in ecology, improving stability of lasers, etc.",
author = "Astrov, {Yu A.} and Fradkov, {A. L.} and Guzenko, {P. Yu}",
year = "2008",
month = feb,
day = "1",
doi = "10.1103/PhysRevE.77.026201",
language = "English",
volume = "77",
journal = "Physical Review E - Statistical, Nonlinear, and Soft Matter Physics",
issn = "1539-3755",
publisher = "American Physical Society",
number = "2",

}

RIS

TY - JOUR

T1 - Control of a noise-induced transition in a nonlinear dynamical system

AU - Astrov, Yu A.

AU - Fradkov, A. L.

AU - Guzenko, P. Yu

PY - 2008/2/1

Y1 - 2008/2/1

N2 - Feedback control is applied to change conditions of a noise-induced transition in a nonlinear second order dynamic system. The mathematical model used in the analysis is a system of two-component equations describing operation of a semiconductor-gas-discharge image converter. The control algorithm is proposed using the speed-gradient method for a linearized model system. It is found by computer simulations that, under conditions when the noise is effective in determining the destructive dynamics of the system without control, the role of noise can be essentially suppressed by a proper feedback control. The control efficiency depends on the amplitude of control signal in a nonmonotonic way, thus demonstrating a resonancelike regularity. Application of the proposed control method can be useful in solving other problems, such as providing survival of endangered species in ecology, improving stability of lasers, etc.

AB - Feedback control is applied to change conditions of a noise-induced transition in a nonlinear second order dynamic system. The mathematical model used in the analysis is a system of two-component equations describing operation of a semiconductor-gas-discharge image converter. The control algorithm is proposed using the speed-gradient method for a linearized model system. It is found by computer simulations that, under conditions when the noise is effective in determining the destructive dynamics of the system without control, the role of noise can be essentially suppressed by a proper feedback control. The control efficiency depends on the amplitude of control signal in a nonmonotonic way, thus demonstrating a resonancelike regularity. Application of the proposed control method can be useful in solving other problems, such as providing survival of endangered species in ecology, improving stability of lasers, etc.

UR - http://www.scopus.com/inward/record.url?scp=40749150075&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.77.026201

DO - 10.1103/PhysRevE.77.026201

M3 - Article

AN - SCOPUS:40749150075

VL - 77

JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

SN - 1539-3755

IS - 2

M1 - 026201

ER -

ID: 87380968