A generalized exponential stabilization for a class of semilinear parabolic equations: Linear boundary feedback control approach

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7735 ◽

2021 ◽

Author(s):

Chengzhou Wei ◽

Junmin Li

Keyword(s):

Feedback Control ◽

Parabolic Equations ◽

Exponential Stabilization ◽

Semilinear Parabolic Equations ◽

Linear Boundary ◽

Boundary Feedback Control ◽

Control Approach ◽

Boundary Feedback ◽

Semilinear Parabolic

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Local Exponential Stabilization of Semi-Linear Hyperbolic Systems by Means of a Boundary Feedback Control

IEEE Control Systems Letters ◽

10.1109/lcsys.2017.2724141 ◽

2018 ◽

Vol 2 (1) ◽

pp. 55-60 ◽

Author(s):

Liguo Zhang ◽

Christophe Prieur ◽

Junfei Qiao

Keyword(s):

Feedback Control ◽

Hyperbolic Systems ◽

Exponential Stabilization ◽

Boundary Feedback Control ◽

Boundary Feedback

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Stability of Boundary Feedback Control Based on Weighted Lyapunov Function in Networks of Open Channels

ACTA AUTOMATICA SINICA ◽

10.3724/sp.j.1004.2009.00097 ◽

2009 ◽

Vol 35 (1) ◽

pp. 97-102 ◽

Author(s):

Li-Hui CEN ◽

Yu-Geng XI

Keyword(s):

Feedback Control ◽

Lyapunov Function ◽

Open Channels ◽

Boundary Feedback Control ◽

Boundary Feedback

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Boundary Feedback Control of 2x2 Quasilinear Hyperbolic Systems: Predictive Synthesis and Robustness Analysis

IEEE Transactions on Automatic Control ◽

10.1109/tac.2021.3083564 ◽

2021 ◽

pp. 1-1

Author(s):

Timm Strecker ◽

Ole Morten Aamo ◽

Michael Cantoni

Keyword(s):

Feedback Control ◽

Hyperbolic Systems ◽

Robustness Analysis ◽

Boundary Feedback Control ◽

Quasilinear Hyperbolic Systems ◽

Boundary Feedback

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Global Existence, Exponential Decay and Blow-up in Finite Time for a Class of Finitely Degenerate Semilinear Parabolic Equations

Acta Mathematica Scientia ◽

10.1007/s10473-019-0508-8 ◽

2019 ◽

Vol 39 (5) ◽

pp. 1290-1308 ◽

Author(s):

Hua Chen ◽

Huiyang Xu

Keyword(s):

Global Existence ◽

Exponential Decay ◽

Parabolic Equations ◽

Finite Time ◽

Blow Up ◽

Semilinear Parabolic Equations ◽

Semilinear Parabolic

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Global existence and local continuity of solutions for semilinear parabolic equations

Communications in Partial Differential Equations ◽

10.1080/03605309708821310 ◽

1997 ◽

Vol 22 (9-10) ◽

pp. 1529-1557 ◽

Author(s):

S. Zhang

Keyword(s):

Global Existence ◽

Parabolic Equations ◽

Semilinear Parabolic Equations ◽

Continuity Of Solutions ◽

Semilinear Parabolic

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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 ◽

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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Asymptotic behavior and blow up of solutions for semilinear parabolic equations at critical energy level

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2009.08.028 ◽

2009 ◽

Vol 80 (4) ◽

pp. 808-813 ◽

Author(s):

Xu Runzhang

Keyword(s):

Asymptotic Behavior ◽

Energy Level ◽

Parabolic Equations ◽

Blow Up ◽

Critical Energy ◽

Semilinear Parabolic Equations ◽

Semilinear Parabolic

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Exponential stability of a kind of wave equation with boundary feedback control

Journal of Applied Mathematics and Computing ◽

10.1007/bf02832052 ◽

2006 ◽

Vol 22 (3) ◽

pp. 267-276 ◽

Author(s):

Jia Jun-guo ◽

Wang Mian-sen

Keyword(s):

Wave Equation ◽

Feedback Control ◽

Exponential Stability ◽

Boundary Feedback Control ◽

Boundary Feedback

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Boundedness and Almost Periodicity of Solutions for a Class of Semilinear Parabolic Equations with Boundary Degeneracy

Chinese Annals of Mathematics Series B ◽

10.1007/s11401-020-0200-2 ◽

2020 ◽

Vol 41 (2) ◽

pp. 303-324

Author(s):

Yi Xie ◽

Peidong Lei

Keyword(s):

Parabolic Equations ◽

Almost Periodicity ◽

Semilinear Parabolic Equations ◽

Boundary Degeneracy ◽

Semilinear Parabolic

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Exact decay estimates for solutions to semilinear parabolic equations

Applicable Analysis ◽

10.1080/00036819108840034 ◽

1991 ◽

Vol 42 (1-4) ◽

pp. 69-81 ◽

Author(s):

J.M. Ghidaglia ◽

A. Marzocchi

Keyword(s):

Parabolic Equations ◽

Decay Estimates ◽

Semilinear Parabolic Equations ◽

Semilinear Parabolic

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