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Stabilization to trajectories for parabolic equations

Tutkimustuotosvertaisarvioitu

Standard

Stabilization to trajectories for parabolic equations. / Phan, Duy; Rodrigues, Sérgio S.

julkaisussa: Mathematics of Control, Signals, and Systems, Vuosikerta 30, Nro 2, 11, 01.06.2018.

Tutkimustuotosvertaisarvioitu

Harvard

Phan, D & Rodrigues, SS 2018, 'Stabilization to trajectories for parabolic equations', Mathematics of Control, Signals, and Systems, Vuosikerta. 30, Nro 2, 11. https://doi.org/10.1007/s00498-018-0218-0

APA

Phan, D., & Rodrigues, S. S. (2018). Stabilization to trajectories for parabolic equations. Mathematics of Control, Signals, and Systems, 30(2), [11]. https://doi.org/10.1007/s00498-018-0218-0

Vancouver

Phan D, Rodrigues SS. Stabilization to trajectories for parabolic equations. Mathematics of Control, Signals, and Systems. 2018 kesä 1;30(2). 11. https://doi.org/10.1007/s00498-018-0218-0

Author

Phan, Duy ; Rodrigues, Sérgio S. / Stabilization to trajectories for parabolic equations. Julkaisussa: Mathematics of Control, Signals, and Systems. 2018 ; Vuosikerta 30, Nro 2.

Bibtex - Lataa

@article{c6afbceca13a4ef98084a5323db2067f,
title = "Stabilization to trajectories for parabolic equations",
abstract = "Both internal and boundary feedback exponential stabilization to trajectories for semilinear parabolic equations in a given bounded domain are addressed. The values of the controls are linear combinations of a finite number of actuators which are supported in a small region. A condition on the family of actuators is given which guarantees the local stabilizability of the control system. It is shown that a linearization-based Riccati feedback stabilizing controller can be constructed. The results of numerical simulations are presented and discussed.",
keywords = "Feedback stabilization to trajectories, Semilinear parabolic equations",
author = "Duy Phan and Rodrigues, {S{\'e}rgio S.}",
year = "2018",
month = "6",
day = "1",
doi = "10.1007/s00498-018-0218-0",
language = "English",
volume = "30",
journal = "Mathematics of Control Signals and Systems",
issn = "0932-4194",
publisher = "Springer Verlag",
number = "2",

}

RIS (suitable for import to EndNote) - Lataa

TY - JOUR

T1 - Stabilization to trajectories for parabolic equations

AU - Phan, Duy

AU - Rodrigues, Sérgio S.

PY - 2018/6/1

Y1 - 2018/6/1

N2 - Both internal and boundary feedback exponential stabilization to trajectories for semilinear parabolic equations in a given bounded domain are addressed. The values of the controls are linear combinations of a finite number of actuators which are supported in a small region. A condition on the family of actuators is given which guarantees the local stabilizability of the control system. It is shown that a linearization-based Riccati feedback stabilizing controller can be constructed. The results of numerical simulations are presented and discussed.

AB - Both internal and boundary feedback exponential stabilization to trajectories for semilinear parabolic equations in a given bounded domain are addressed. The values of the controls are linear combinations of a finite number of actuators which are supported in a small region. A condition on the family of actuators is given which guarantees the local stabilizability of the control system. It is shown that a linearization-based Riccati feedback stabilizing controller can be constructed. The results of numerical simulations are presented and discussed.

KW - Feedback stabilization to trajectories

KW - Semilinear parabolic equations

U2 - 10.1007/s00498-018-0218-0

DO - 10.1007/s00498-018-0218-0

M3 - Article

VL - 30

JO - Mathematics of Control Signals and Systems

JF - Mathematics of Control Signals and Systems

SN - 0932-4194

IS - 2

M1 - 11

ER -