Nonlinear boundary control of the generalized Burgers equation

DOI10.1023/B:NODY.0000040023.92220.09zbMath1078.76026OpenAlexW2044497027MaRDI QIDQ2575243

Nejib Smaoui

Publication date: 8 December 2005

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

Full work available at URL: https://doi.org/10.1023/b:nody.0000040023.92220.09

zbMATH Keywords

adaptive stabilizationbackward Euler methodChebychev collocation methodnon-adaptive stabilization

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Flow control and optimization for incompressible viscous fluids (76D55)

Related Items (21)

Dynamics and control of the 2-d Navier-Stokes equations ⋮ Boundary control of the generalized Korteweg-de Vries-Burgers equation ⋮ Finite element approximation to global stabilization of the Burgers' equation by Neumann boundary feedback control law ⋮ Robust stabilization the Korteweg-de Vries-Burgers equation by boundary control ⋮ Numerical approximation for singular second order differential equations ⋮ Adaptive boundary control of the unforced generalized Korteweg-de Vries-Burgers equation ⋮ Dynamics and control of the modified generalized Korteweg-de Vries-Burgers equation with periodic boundary conditions ⋮ Global stabilization of two dimensional viscous Burgers' equation by nonlinear Neumann boundary feedback control and its finite element analysis ⋮ Optimal control of the viscous Degasperis-Procesi equation ⋮ Distributed control of the generalized Korteweg-de Vries-Burgers equation ⋮ Adaptive boundary control of the forced generalized Korteweg-de Vries-Burgers equation ⋮ Adaptive stabilization of the Korteweg-de Vries-Burgers equation with unknown dispersion ⋮ Boundary and distributed control of the viscous Burgers equation ⋮ Nonlinear boundary control of the unforced generalized Korteweg-de Vries-Burgers equation ⋮ Nonlinear adaptive boundary control of the modified generalized Korteweg-de Vries-Burgers equation ⋮ The Cauchy problem for the equation of the Burgers hierarchy ⋮ A numerical approach to an optimal boundary control of the viscous Burgers' equation ⋮ A qualitative study and numerical simulations for a time-delayed dispersive equation ⋮ Optimal control of the viscous Dullin-Gottwalld-Holm equation ⋮ Global stabilization of BBM-Burgers' type equations by nonlinear boundary feedback control laws: theory and finite element error analysis ⋮ Boundary linear stabilization of the modified generalized Korteweg-de Vries-Burgers equation

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