Optimal control of the vibration of elastic systems described by the wave equation

DOI10.1007/s10778-012-0519-9zbMath1295.74070OpenAlexW2085119886MaRDI QIDQ741053

L. A. Movsisyan, V. P. Barsegyan

Publication date: 10 September 2014

Published in: International Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10778-012-0519-9

zbMATH Keywords

optimal controlwave equationvibrationsFourier method

Mathematics Subject Classification ID

Control, switches and devices (``smart materials) in solid mechanics (74M05) Vibrations in dynamical problems in solid mechanics (74H45) Explicit solutions of dynamical problems in solid mechanics (74H05)

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Optimal control of string vibrations with nonseparate state function conditions at given intermediate instants ⋮ The problem of optimal control of membrane oscillations with non-separated multipoint conditions at intermediate times ⋮ About One Problem of Optimal Control of String Oscillations with Non-separated Multipoint Conditions at Intermediate Moments of Time ⋮ The problem of optimal control of string vibrations ⋮ The problem of boundary control of string vibrationsby displacement of the left end when the right end is fixedwith the given values of the deflection functionat intermediate times ⋮ Optimal boundary control of string vibrations with given shape of deflection at a certain moment of time

Cites Work

• Unnamed Item
• Optimization of a boundary control by a displacement at one end of a string with second end free during an arbitrary sufficiently large time interval

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