Exponential stability of a reparable multi-state device

Weiwei Hu; Houbao Xu; Jingyuan Yu; Guangtian Zhu

doi:10.1007/s11424-007-9039-9

Exponential stability of a reparable multi-state device

Weiwei Hu^*, Houbao Xu, Jingyuan Yu, Guangtian Zhu

^*此作品的通讯作者

数学学院

科研成果: 期刊稿件 › 文章 › 同行评审

41 引用（Scopus）

摘要

The exponential stability of a multi-state device is discussed in this paper. We present that the C ₀-semigroup generated by the system operator is quasi-compact and irreducible. It is known that 0 is a simple eigenvalue of the system operator. In combination with this, we obtain that the time-dependent solution exponentially converges to the steady-state solution, which is the positive eigenfuction corresponding to the simple eigenvalue 0.

源语言	英语
页（从-至）	437-443
页数	7
期刊	Journal of Systems Science and Complexity
卷	20
期	3
DOI	https://doi.org/10.1007/s11424-007-9039-9
出版状态	已出版 - 9月 2007

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Hu, W., Xu, H., Yu, J., & Zhu, G. (2007). Exponential stability of a reparable multi-state device. Journal of Systems Science and Complexity, 20(3), 437-443. https://doi.org/10.1007/s11424-007-9039-9

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abstract = "The exponential stability of a multi-state device is discussed in this paper. We present that the C 0-semigroup generated by the system operator is quasi-compact and irreducible. It is known that 0 is a simple eigenvalue of the system operator. In combination with this, we obtain that the time-dependent solution exponentially converges to the steady-state solution, which is the positive eigenfuction corresponding to the simple eigenvalue 0.",

keywords = "C -semigroup, Exponential stability, Irreducibility, Quasi-compact",

author = "Weiwei Hu and Houbao Xu and Jingyuan Yu and Guangtian Zhu",

year = "2007",

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T1 - Exponential stability of a reparable multi-state device

AU - Hu, Weiwei

AU - Xu, Houbao

AU - Yu, Jingyuan

AU - Zhu, Guangtian

PY - 2007/9

Y1 - 2007/9

N2 - The exponential stability of a multi-state device is discussed in this paper. We present that the C 0-semigroup generated by the system operator is quasi-compact and irreducible. It is known that 0 is a simple eigenvalue of the system operator. In combination with this, we obtain that the time-dependent solution exponentially converges to the steady-state solution, which is the positive eigenfuction corresponding to the simple eigenvalue 0.

AB - The exponential stability of a multi-state device is discussed in this paper. We present that the C 0-semigroup generated by the system operator is quasi-compact and irreducible. It is known that 0 is a simple eigenvalue of the system operator. In combination with this, we obtain that the time-dependent solution exponentially converges to the steady-state solution, which is the positive eigenfuction corresponding to the simple eigenvalue 0.

KW - C -semigroup

KW - Exponential stability

KW - Irreducibility

KW - Quasi-compact

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EP - 443

JO - Journal of Systems Science and Complexity

JF - Journal of Systems Science and Complexity

IS - 3

ER -

Exponential stability of a reparable multi-state device

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