Robust stabilization the Korteweg-de Vries-Burgers equation by boundary control

DOI10.1007/s11071-009-9514-zzbMath1183.76660OpenAlexW2085934628MaRDI QIDQ2380642

Rathinasamy Sakthivel

Publication date: 29 March 2010

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-009-9514-z

zbMATH Keywords

Korteweg-de Vries-Burgers equationnonlinear boundary feedback controlrobust global stabilityspatially dependent scaling

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Solitary waves for incompressible inviscid fluids (76B25) Flow control and optimization for incompressible inviscid fluids (76B75)

Related Items (9)

Adaptive boundary control of the unforced generalized Korteweg-de Vries-Burgers equation ⋮ Exact null controllability of KdV-Burgers equation with memory effect systems ⋮ Controllability aspects of the Korteweg-de Vries Burgers equation on unbounded domains ⋮ Exponential input-to-state stability of delay Korteweg-de Vries-Burgers equations ⋮ Boosting the decay of solutions of the linearised Korteweg-de Vries–Burgers equation to a predetermined rate from the boundary ⋮ Fast spectral collocation method for solving nonlinear time-delayed Burgers-type equations with positive power terms ⋮ Finite-time boundary stabilization for Korteweg-de Vries-Burgers equations ⋮ Well-posedness and stability results for the Korteweg-de Vries-Burgers and Kuramoto-Sivashinsky equations with infinite memory: a history approach ⋮ Modelling and nonlinear boundary stabilization of the modified generalized Korteweg-de Vries-Burgers equation

Cites Work

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• Boundary control of the generalized Korteweg-de Vries-Burgers equation
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• Nonlinear boundary control of the generalized Burgers equation
• Boundary control of the Korteweg-de Vries-Burgers equation: further results on stabilization and well-posedness, with numerical demonstration
• Non-linear robust boundary control of the Kuramoto-Sivashinsky equation
• Exact controllability and stabilizability of the Korteweg-de Vries equation
• Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces

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