Impulsive control of sticking motion in van der Pol one-sided constraint system

Chao Li; Wei Xu; Liang Wang; Zhenpei Wang

doi:10.1016/j.amc.2014.09.092

Impulsive control of sticking motion in van der Pol one-sided constraint system

Chao Li, Wei Xu, Liang Wang, Zhenpei Wang

School of Mathematics and Statistics

Northwestern Polytechnical University Xian

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

4 Scopus citations

Abstract

In this paper, the impulsive control method is used to dominate sticking motion in Van der Pol one-sided constraint system. We find that the method can restrain sticking motion effectively. And the method can also induce sticking motion for special parameters. In addition, numerical results show that the method is stable even for high levels of multiplicative noise or additive noise.

Original language	English
Pages (from-to)	363-370
Number of pages	8
Journal	Applied Mathematics and Computation
Volume	248
DOIs	https://doi.org/10.1016/j.amc.2014.09.092
State	Published - 1 Dec 2014

Keywords

Additive noise
Impulsive control method
Multiplicative noise
Sticking motion
Van der Pol one-sided constraint system

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10.1016/j.amc.2014.09.092

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title = "Impulsive control of sticking motion in van der Pol one-sided constraint system",

abstract = "In this paper, the impulsive control method is used to dominate sticking motion in Van der Pol one-sided constraint system. We find that the method can restrain sticking motion effectively. And the method can also induce sticking motion for special parameters. In addition, numerical results show that the method is stable even for high levels of multiplicative noise or additive noise.",

keywords = "Additive noise, Impulsive control method, Multiplicative noise, Sticking motion, Van der Pol one-sided constraint system",

author = "Chao Li and Wei Xu and Liang Wang and Zhenpei Wang",

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AU - Xu, Wei

AU - Wang, Liang

AU - Wang, Zhenpei

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N2 - In this paper, the impulsive control method is used to dominate sticking motion in Van der Pol one-sided constraint system. We find that the method can restrain sticking motion effectively. And the method can also induce sticking motion for special parameters. In addition, numerical results show that the method is stable even for high levels of multiplicative noise or additive noise.

AB - In this paper, the impulsive control method is used to dominate sticking motion in Van der Pol one-sided constraint system. We find that the method can restrain sticking motion effectively. And the method can also induce sticking motion for special parameters. In addition, numerical results show that the method is stable even for high levels of multiplicative noise or additive noise.

KW - Additive noise

KW - Impulsive control method

KW - Multiplicative noise

KW - Sticking motion

KW - Van der Pol one-sided constraint system

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M3 - 文章

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VL - 248

SP - 363

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JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

ER -

Impulsive control of sticking motion in van der Pol one-sided constraint system

Abstract

Keywords

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