Non-linear robust boundary control of the Kuramoto-Sivashinsky equation

IMA Journal of Mathematical Control and Information ◽

10.1093/imamci/dnl009 ◽

2006 ◽

Vol 24 (1) ◽

pp. 47-55 ◽

Author(s):

R. Sakthivel ◽

H. Ito

Keyword(s):

Boundary Control ◽

Sivashinsky Equation

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Optimization of a non-linear distributed parameter system using periodic boundary control†

International Journal of Control ◽

10.1080/00207176908905864 ◽

1969 ◽

Vol 10 (6) ◽

pp. 601-624 ◽

Author(s):

MAGNE FJELD ◽

TORE KRISTIANSEN

Keyword(s):

Boundary Control ◽

Periodic Boundary ◽

Distributed Parameter ◽

Distributed Parameter System ◽

Parameter System ◽

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Boundary control for the heat equation with non-linear boundary condition

Journal of Differential Equations ◽

10.1016/0022-0396(89)90077-6 ◽

1989 ◽

Vol 78 (1) ◽

pp. 89-121 ◽

Author(s):

E.J.P.Georg Schmidt

Keyword(s):

Boundary Condition ◽

Heat Equation ◽

Boundary Control ◽

Linear Boundary ◽

Linear Boundary Condition ◽

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Stability enhancement by boundary control in the Kuramoto–Sivashinsky equation

Nonlinear Analysis ◽

10.1016/s0362-546x(99)00215-1 ◽

2001 ◽

Vol 43 (4) ◽

pp. 485-507 ◽

Author(s):

Wei-Jiu Liu ◽

Miroslav Krstić

Keyword(s):

Boundary Control ◽

Stability Enhancement ◽

Sivashinsky Equation

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Optimal boundary control of Kuramoto-Sivashinsky equation

2009 American Control Conference ◽

10.1109/acc.2009.5160231 ◽

2009 ◽

Author(s):

Stevan Dubljevic

Keyword(s):

Boundary Control ◽

Optimal Boundary ◽

Optimal Boundary Control ◽

Sivashinsky Equation

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Receding Optimal Boundary Control of Non-linear Hyperbolic Systems of Conservation Laws

IFAC Proceedings Volumes ◽

10.3182/20110828-6-it-1002.01027 ◽

2011 ◽

Vol 44 (1) ◽

pp. 8601-8606

Author(s):

Thang V. Pham ◽

Didier Georges ◽

Gildas Besançon

Keyword(s):

Conservation Laws ◽

Boundary Control ◽

Hyperbolic Systems ◽

Optimal Boundary ◽

Optimal Boundary Control ◽

Systems Of Conservation Laws

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Non-linear Modulational Instability of Periodic Waves Governed by the Kuramoto-Sivashinsky Equation

EPL (Europhysics Letters) ◽

10.1209/0295-5075/31/8/003 ◽

1995 ◽

Vol 31 (8) ◽

pp. 437-441 ◽

Author(s):

A. A Nepomnyashchy

Keyword(s):

Modulational Instability ◽

Periodic Waves ◽

Sivashinsky Equation

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Optimal Boundary Control for a Non-linear Distributed System†

International Journal of Control ◽

10.1080/00207176608921418 ◽

1966 ◽

Vol 4 (2) ◽

pp. 167-178 ◽

Author(s):

MORTON M. DENN

Keyword(s):

Boundary Control ◽

Distributed System ◽

Optimal Boundary ◽

Optimal Boundary Control ◽

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BOUNDARY CONTROL FOR A GENERAL CLASS OF NON-LINEAR STRING–ACTUATOR SYSTEMS

Journal of Sound and Vibration ◽

10.1006/jsvi.1999.2480 ◽

2000 ◽

Vol 229 (1) ◽

pp. 113-132 ◽

Author(s):

F. ZHANG ◽

D.M. DAWSON ◽

S.P. NAGARKATTI ◽

C.D. RAHN

Keyword(s):

Boundary Control ◽

General Class ◽

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Boundary control of the Kuramoto-Sivashinsky equation with low anti-dissipation

Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251) ◽

10.1109/acc.1999.783208 ◽

1999 ◽

Keyword(s):

Boundary Control ◽

Sivashinsky Equation

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On Convergence of Semidiscrete Ritz-Galerkin Schemes Applied to the Boundary Control of Parabolic Equations with Non-Linear Boundary Condition

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.19920720712 ◽

1992 ◽

Vol 72 (7) ◽

pp. 291-301 ◽

Author(s):

F. Tröltzsch

Keyword(s):

Boundary Condition ◽

Boundary Control ◽

Parabolic Equations ◽

Linear Boundary ◽

Linear Boundary Condition ◽

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