A note on Poisson stability and controllability

Xiaoming Wang; Pingyuan Cui; Hutao Cui

doi:10.1007/s11071-011-9951-3

A note on Poisson stability and controllability

Xiaoming Wang^*, Pingyuan Cui, Hutao Cui

^*此作品的通讯作者

Harbin Institute of Technology

科研成果: 期刊稿件 › 文章 › 同行评审

5 引用（Scopus）

摘要

The connection between Poisson stability and controllability is revisited. For the controllability criterion based on weakly positive Poisson stability (WPPS) and Lie algebra rank condition (LARC), it is shown that two natural assumptions about the set of input values are necessary for strictness. By using the relationship between conservative property and WPPS, sufficient conditions for controllability of affine nonlinear systems are further discussed. At last, for systems defined on compact Riemannian manifold, the WPPS is proved to be equivalent to Poisson stability.

源语言	英语
页（从-至）	789-793
页数	5
期刊	Nonlinear Dynamics
卷	66
期	4
DOI	https://doi.org/10.1007/s11071-011-9951-3
出版状态	已出版 - 12月 2011
已对外发布	是

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Wang, X., Cui, P., & Cui, H. (2011). A note on Poisson stability and controllability. Nonlinear Dynamics, 66(4), 789-793. https://doi.org/10.1007/s11071-011-9951-3

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abstract = "The connection between Poisson stability and controllability is revisited. For the controllability criterion based on weakly positive Poisson stability (WPPS) and Lie algebra rank condition (LARC), it is shown that two natural assumptions about the set of input values are necessary for strictness. By using the relationship between conservative property and WPPS, sufficient conditions for controllability of affine nonlinear systems are further discussed. At last, for systems defined on compact Riemannian manifold, the WPPS is proved to be equivalent to Poisson stability.",

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author = "Xiaoming Wang and Pingyuan Cui and Hutao Cui",

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AU - Wang, Xiaoming

AU - Cui, Pingyuan

AU - Cui, Hutao

PY - 2011/12

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AB - The connection between Poisson stability and controllability is revisited. For the controllability criterion based on weakly positive Poisson stability (WPPS) and Lie algebra rank condition (LARC), it is shown that two natural assumptions about the set of input values are necessary for strictness. By using the relationship between conservative property and WPPS, sufficient conditions for controllability of affine nonlinear systems are further discussed. At last, for systems defined on compact Riemannian manifold, the WPPS is proved to be equivalent to Poisson stability.

KW - Controllability

KW - Lie algebra

KW - Poisson stability

KW - Riemannian manifold

KW - Vector field

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A note on Poisson stability and controllability

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