Feedback control for some solutions of the sine-Gordon equation

DOI10.1016/j.amc.2015.07.040zbMath1410.93055OpenAlexW1072261708MaRDI QIDQ668636

Alexey V. Porubov, Fradkov, Alexander L., B. R. Andrievskij

Publication date: 19 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.07.040

zbMATH Keywords

nonlinear wavesfeedback controlnumerical solutionsine-Gordon equation

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Feedback control (93B52) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical methods for initial value problems involving ordinary differential equations (65L05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Second-order semilinear hyperbolic equations (35L71)

Related Items (9)

Boundary energy control of a system governed by the nonlinear Klein-Gordon equation ⋮ Observer-based boundary control of the sine-Gordon model energy ⋮ Feedback control of the sine-Gordon antikink ⋮ Localization of the sine-Gordon equation solutions ⋮ Control methods for localization of nonlinear waves ⋮ Horizons of cybernetical physics ⋮ Simple Energy Control in Frenkel–Kontorova Model ⋮ Speed gradient method and its applications ⋮ Two-step shock waves propagation for isothermal Euler equations

Uses Software

• Mathematica

Cites Work

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• Cybernetical physics. From control of chaos to quantum control.
• Functionally invariant solutions of nonlinear Klein-Fock-Gordon equation
• Control of nonlinear dynamical systems. Methods and applications
• Boundary feedback stabilization of the sine-Gordon equation without velocity feedback
• Soliton Management in Periodic Systems
• Adaptive stabilization of the sine-Gordon equation by boundary control

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