Feedback control of the sine-Gordon antikink

DOI10.1016/j.wavemoti.2016.04.014zbMath1467.93154OpenAlexW2346806375MaRDI QIDQ2186161

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

Publication date: 9 June 2020

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2016.04.014

zbMATH Keywords

nonlinear equationfeedback controlnumerical solutionnonlinear wave

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Feedback control (93B52) Traveling wave solutions (35C07) Second-order semilinear hyperbolic equations (35L71)

Related Items (7)

Control of nonlinear shock waves propagation for isothermal Euler equations ⋮ Unnamed Item ⋮ Control methods for localization of nonlinear waves ⋮ Simple Energy Control in Frenkel–Kontorova Model ⋮ Speed gradient method and its applications ⋮ Boundary control of nonlinear strain waves in di-atomic crystal layer ⋮ Two-step shock waves propagation for isothermal Euler equations

Uses Software

• Mathematica

Cites Work

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• 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
• CONTROL OF SYNCHRONIZATION IN DELAY-COUPLED NETWORKS

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