Numerical solution of the positional boundary control problem for the wave equation with unknown initial data

DOI10.1134/S0081543817090048zbMATH Open1384.93041OpenAlexW2406272601MaRDI QIDQ1744974

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Publication date: 20 April 2018

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543817090048

zbMATH Keywords

wave equationnumerical solutionpositional control problem

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Positional games (pursuit and evasion, etc.) (91A24)

Cites Work

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• Boundary control of the displacement at one end with the other end free for a process described by the telegraph equation with a variable coefficient
• Idealized program packages and problems of positional control with incomplete information
• Threshold optimization in observability inequality for the wave equation with homogeneous Robin-type boundary condition
• Observability inequality for a wave equation with elastic fastening in the case of critical time interval
• Constructive observability inequalities for weak generalized solutions of the wave equation with elastic restraint
• Control packages: an approach to solution of positional control problems with incomplete information
• THE SOLVABILITY OF MIXED PROBLEMS FOR HYPERBOLIC AND PARABOLIC EQUATIONS

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