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Dynamic polynomial stabilization of a 1D wave equation

Tutkimustuotosvertaisarvioitu

Standard

Dynamic polynomial stabilization of a 1D wave equation. / Paunonen, Lassi; Humaloja, Jukka-Pekka.

2019 Proceedings of the Conference on Control and its Applications. toim. / William S. Levine; Richard Stockbridge. SIAM, Society for Industrial and Applied Mathematics, 2019. s. 105-109.

Tutkimustuotosvertaisarvioitu

Harvard

Paunonen, L & Humaloja, J-P 2019, Dynamic polynomial stabilization of a 1D wave equation. julkaisussa WS Levine & R Stockbridge (toim), 2019 Proceedings of the Conference on Control and its Applications. SIAM, Society for Industrial and Applied Mathematics, Sivut 105-109, Chengdu, Kiina, 19/06/19. https://doi.org/10.1137/1.9781611975758.16

APA

Paunonen, L., & Humaloja, J-P. (2019). Dynamic polynomial stabilization of a 1D wave equation. teoksessa W. S. Levine, & R. Stockbridge (Toimittajat), 2019 Proceedings of the Conference on Control and its Applications (Sivut 105-109). SIAM, Society for Industrial and Applied Mathematics. https://doi.org/10.1137/1.9781611975758.16

Vancouver

Paunonen L, Humaloja J-P. Dynamic polynomial stabilization of a 1D wave equation. julkaisussa Levine WS, Stockbridge R, toimittajat, 2019 Proceedings of the Conference on Control and its Applications. SIAM, Society for Industrial and Applied Mathematics. 2019. s. 105-109 https://doi.org/10.1137/1.9781611975758.16

Author

Paunonen, Lassi ; Humaloja, Jukka-Pekka. / Dynamic polynomial stabilization of a 1D wave equation. 2019 Proceedings of the Conference on Control and its Applications. Toimittaja / William S. Levine ; Richard Stockbridge. SIAM, Society for Industrial and Applied Mathematics, 2019. Sivut 105-109

Bibtex - Lataa

@inproceedings{c278350335bd49379a9c19ee70f6c1f9,
title = "Dynamic polynomial stabilization of a 1D wave equation",
abstract = "We study observer-based dynamic stabilization of a one-dimensional wave equation with boundary control and distributed observation. The control system we consider is exponentially stabilizable but not exponentially detectable. Consequently, exponential energy decay is not achievable with dynamic output feedback. As our main result we design an observer-based controller which achieves rational decay of energy for a class of initial conditions. The controller design relies on helpful results on polynomial stability of semigroups generated by block operator matrices.",
author = "Lassi Paunonen and Jukka-Pekka Humaloja",
year = "2019",
doi = "10.1137/1.9781611975758.16",
language = "English",
pages = "105--109",
editor = "Levine, {William S.} and Richard Stockbridge",
booktitle = "2019 Proceedings of the Conference on Control and its Applications",
publisher = "SIAM, Society for Industrial and Applied Mathematics",

}

RIS (suitable for import to EndNote) - Lataa

TY - GEN

T1 - Dynamic polynomial stabilization of a 1D wave equation

AU - Paunonen, Lassi

AU - Humaloja, Jukka-Pekka

PY - 2019

Y1 - 2019

N2 - We study observer-based dynamic stabilization of a one-dimensional wave equation with boundary control and distributed observation. The control system we consider is exponentially stabilizable but not exponentially detectable. Consequently, exponential energy decay is not achievable with dynamic output feedback. As our main result we design an observer-based controller which achieves rational decay of energy for a class of initial conditions. The controller design relies on helpful results on polynomial stability of semigroups generated by block operator matrices.

AB - We study observer-based dynamic stabilization of a one-dimensional wave equation with boundary control and distributed observation. The control system we consider is exponentially stabilizable but not exponentially detectable. Consequently, exponential energy decay is not achievable with dynamic output feedback. As our main result we design an observer-based controller which achieves rational decay of energy for a class of initial conditions. The controller design relies on helpful results on polynomial stability of semigroups generated by block operator matrices.

U2 - 10.1137/1.9781611975758.16

DO - 10.1137/1.9781611975758.16

M3 - Conference contribution

SP - 105

EP - 109

BT - 2019 Proceedings of the Conference on Control and its Applications

A2 - Levine, William S.

A2 - Stockbridge, Richard

PB - SIAM, Society for Industrial and Applied Mathematics

ER -