Stabilization of swelling porous elastic soils with fluid saturation by one internal damping

Jun Min Wang; Bao Zhu Guo

doi:10.1109/CDC.2005.1582191

Stabilization of swelling porous elastic soils with fluid saturation by one internal damping

Jun Min Wang^*, Bao Zhu Guo

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

This article considers the stabilization of a system of one-dimensional swelling porous elastic soils with fluid saturation. This system is strongly coupled by vibrations of both fluid and solid elastic materials. Using Riesz basis approach, it is shown that the system can be exponentially stabilized by one internal damping with variable feedback gain imposed in the fluid equation. The result improved greatly at the first time the previous results in literature where two dampings are needed to get the same result.

Original language	English
Title of host publication	Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Pages	416-421
Number of pages	6
DOIs	https://doi.org/10.1109/CDC.2005.1582191
Publication status	Published - 2005
Externally published	Yes
Event	44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 - Seville, Spain Duration: 12 Dec 2005 → 15 Dec 2005

Publication series

Name	Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Volume	2005

Conference

Conference	44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Country/Territory	Spain
City	Seville
Period	12/12/05 → 15/12/05

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10.1109/CDC.2005.1582191

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Wang, J. M., & Guo, B. Z. (2005). Stabilization of swelling porous elastic soils with fluid saturation by one internal damping. In Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 (pp. 416-421). Article 1582191 (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05; Vol. 2005). https://doi.org/10.1109/CDC.2005.1582191

Wang, Jun Min ; Guo, Bao Zhu. / Stabilization of swelling porous elastic soils with fluid saturation by one internal damping. Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. 2005. pp. 416-421 (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05).

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title = "Stabilization of swelling porous elastic soils with fluid saturation by one internal damping",

abstract = "This article considers the stabilization of a system of one-dimensional swelling porous elastic soils with fluid saturation. This system is strongly coupled by vibrations of both fluid and solid elastic materials. Using Riesz basis approach, it is shown that the system can be exponentially stabilized by one internal damping with variable feedback gain imposed in the fluid equation. The result improved greatly at the first time the previous results in literature where two dampings are needed to get the same result.",

author = "Wang, {Jun Min} and Guo, {Bao Zhu}",

year = "2005",

doi = "10.1109/CDC.2005.1582191",

language = "English",

isbn = "0780395689",

series = "Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05",

pages = "416--421",

booktitle = "Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05",

note = "44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 ; Conference date: 12-12-2005 Through 15-12-2005",

}

Wang, JM & Guo, BZ 2005, Stabilization of swelling porous elastic soils with fluid saturation by one internal damping. in Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05., 1582191, Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05, vol. 2005, pp. 416-421, 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05, Seville, Spain, 12/12/05. https://doi.org/10.1109/CDC.2005.1582191

Stabilization of swelling porous elastic soils with fluid saturation by one internal damping. / Wang, Jun Min; Guo, Bao Zhu.
Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. 2005. p. 416-421 1582191 (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05; Vol. 2005).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Wang, Jun Min

AU - Guo, Bao Zhu

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N2 - This article considers the stabilization of a system of one-dimensional swelling porous elastic soils with fluid saturation. This system is strongly coupled by vibrations of both fluid and solid elastic materials. Using Riesz basis approach, it is shown that the system can be exponentially stabilized by one internal damping with variable feedback gain imposed in the fluid equation. The result improved greatly at the first time the previous results in literature where two dampings are needed to get the same result.

AB - This article considers the stabilization of a system of one-dimensional swelling porous elastic soils with fluid saturation. This system is strongly coupled by vibrations of both fluid and solid elastic materials. Using Riesz basis approach, it is shown that the system can be exponentially stabilized by one internal damping with variable feedback gain imposed in the fluid equation. The result improved greatly at the first time the previous results in literature where two dampings are needed to get the same result.

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U2 - 10.1109/CDC.2005.1582191

DO - 10.1109/CDC.2005.1582191

M3 - Conference contribution

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SN - 0780395689

SN - 9780780395688

T3 - Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05

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BT - Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05

T2 - 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05

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Wang JM, Guo BZ. Stabilization of swelling porous elastic soils with fluid saturation by one internal damping. In Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. 2005. p. 416-421. 1582191. (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05). doi: 10.1109/CDC.2005.1582191

Stabilization of swelling porous elastic soils with fluid saturation by one internal damping

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