Stabilization of wave equation with variable coefficients by nonlinear boundary feedback

Jieqiong Wu; Shengjia Li

doi:10.1007/s11424-011-9110-4

Stabilization of wave equation with variable coefficients by nonlinear boundary feedback

Journal of Systems Science and Complexity ◽

10.1007/s11424-011-9110-4 ◽

2011 ◽

Vol 24 (5) ◽

pp. 875-882 ◽

Cited By ~ 8

Author(s):

Jieqiong Wu ◽

Shengjia Li

Keyword(s):

Wave Equation ◽

Nonlinear Boundary ◽

Variable Coefficients ◽

Boundary Feedback ◽

Nonlinear Boundary Feedback

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On exponential stability of a semilinear wave equation with variable coefficients under the nonlinear boundary feedback

Nonlinear Analysis ◽

10.1016/j.na.2009.05.018 ◽

2009 ◽

Vol 71 (12) ◽

pp. 5961-5978 ◽

Cited By ~ 22

Author(s):

Bao-Zhu Guo ◽

Zhi-Chao Shao

Keyword(s):

Wave Equation ◽

Exponential Stability ◽

Nonlinear Boundary ◽

Variable Coefficients ◽

Semilinear Wave Equation ◽

Boundary Feedback ◽

Nonlinear Boundary Feedback

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Energy decay estimates for a wave equation with nonlinear boundary feedback

Glasnik Matematicki ◽

10.3336/gm.43.2.10 ◽

2008 ◽

Vol 43 (2) ◽

pp. 375-386

Author(s):

Mohammad Cherkaoui

Keyword(s):

Wave Equation ◽

Nonlinear Boundary ◽

Energy Decay ◽

Decay Estimates ◽

Boundary Feedback ◽

Nonlinear Boundary Feedback

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Decay of solutions of the wave equation with nonlinear boundary feedback

Analysis and Optimization of Systems: State and Frequency Domain Approaches for Infinite-Dimensional Systems - Lecture Notes in Control and Information Sciences ◽

10.1007/bfb0115049 ◽

2007 ◽

pp. 512-523

Author(s):

Francis Conrad ◽

Bopeng Rao

Keyword(s):

Wave Equation ◽

Nonlinear Boundary ◽

Boundary Feedback ◽

Decay Of Solutions ◽

Nonlinear Boundary Feedback

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Uniform Stabilization of the Wave Equation by Nonlinear Boundary Feedback

SIAM Journal on Control and Optimization ◽

10.1137/0328025 ◽

1990 ◽

Vol 28 (2) ◽

pp. 466-477 ◽

Cited By ~ 105

Author(s):

Enrike Zuazua

Keyword(s):

Wave Equation ◽

Nonlinear Boundary ◽

Uniform Stabilization ◽

Boundary Feedback ◽

Nonlinear Boundary Feedback

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Stabilization of Euler–Bernoulli plate equation with variable coefficients by nonlinear boundary feedback

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2005.12.006 ◽

2006 ◽

Vol 317 (1) ◽

pp. 50-70 ◽

Cited By ~ 21

Author(s):

Yuxia Guo ◽

Pengfei Yao

Keyword(s):

Nonlinear Boundary ◽

Variable Coefficients ◽

Plate Equation ◽

Boundary Feedback ◽

Nonlinear Boundary Feedback

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Nonlinear boundary feedback control of the one-dimensional wave equation

Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187) ◽

10.1109/cdc.2000.914097 ◽

2002 ◽

Author(s):

Goong Chen ◽

Tingwen Huang ◽

Sze-Bi Hsu

Keyword(s):

Wave Equation ◽

Feedback Control ◽

Nonlinear Boundary ◽

Boundary Feedback Control ◽

One Dimensional ◽

Boundary Feedback ◽

The One ◽

Nonlinear Boundary Feedback ◽

Dimensional Wave

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Decay of solutions of the wave equation in a star-shaped domain with nonlinear boundary feedback

Asymptotic Analysis ◽

10.3233/asy-1993-7301 ◽

1993 ◽

Vol 7 (3) ◽

pp. 159-177 ◽

Cited By ~ 37

Author(s):

Francis Conrad ◽

Bopeng Rao

Keyword(s):

Wave Equation ◽

Nonlinear Boundary ◽

Boundary Feedback ◽

Decay Of Solutions ◽

Shaped Domain ◽

Nonlinear Boundary Feedback

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Stability enhancement of flexible structures by nonlinear boundary-feedback control

Boundary Control and Boundary Variations - Lecture Notes in Control and Information Sciences ◽

10.1007/bfb0041908 ◽

2006 ◽

pp. 18-37 ◽

Cited By ~ 1

Author(s):

A. V. Balakrishnan

Keyword(s):

Feedback Control ◽

Nonlinear Boundary ◽

Flexible Structures ◽

Boundary Feedback Control ◽

Boundary Feedback ◽

Stability Enhancement ◽

Nonlinear Boundary Feedback

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Energy decay for a nonlinear wave equation of variable coefficients with acoustic boundary conditions and a time-varying delay in the boundary feedback

Nonlinear Analysis ◽

10.1016/j.na.2014.08.021 ◽

2015 ◽

Vol 112 ◽

pp. 105-117 ◽

Cited By ~ 17

Author(s):

Jing Li ◽

Shugen Chai

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Variable Coefficients ◽

Time Varying ◽

Acoustic Boundary Conditions ◽

Time Varying Delay ◽

Boundary Feedback ◽

Varying Delay

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Nonlinear Boundary Feedback Stabilization Of Dynamic Elasticity With Thermal Effects

Shape Optimization And Optimal Design ◽

10.1201/9780203904169.ch14 ◽

2001 ◽

Author(s):

Irena Lasiecka

Keyword(s):

Thermal Effects ◽

Nonlinear Boundary ◽

Feedback Stabilization ◽

Dynamic Elasticity ◽

Boundary Feedback ◽

Nonlinear Boundary Feedback

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