Optimal control of string vibrations with nonseparate state function conditions at given intermediate instants

DOI10.1134/S0005117920020034zbMath1455.49031OpenAlexW3012463870MaRDI QIDQ827905

Vanya Rafaelovich Barseghyan

Publication date: 14 January 2021

Published in: Automation and Remote Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0005117920020034

zbMATH Keywords

string vibrationsintermediate statesoptimal vibration controlnonseparated multipoint conditions

Mathematics Subject Classification ID

Control, switches and devices (``smart materials) in solid mechanics (74M05) Vibrations in dynamical problems in solid mechanics (74H45) Strings (74K05) Variational principles of physics (49S05) Existence theories for optimal control problems involving relations other than differential equations (49J21)

Related Items (9)

Boundary Control of String Vibrations with Given Values of the Deflection Function at Intermediate Moments of Time ⋮ The problem of control of rod heating process with nonseparated conditions at intermediate moments of time ⋮ Optimal boundary control of a distributed heterogeneous vibrating system with given states at intermediate times ⋮ Boundary control of some distributed heterogeneous vibrating system with given states at intermediate time instants ⋮ Problems of boundary control and optimal control of string vibrations with multipoint intermediate conditions on the state functions ⋮ The problem of boundary control of displacement at two ends by the process of oscillation of a rod consisting of two sections of different density and elasticity ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Optimal boundary control of string vibrations with given shape of deflection at a certain moment of time

Cites Work

• On an approach to the problems of control of dynamic systems with nonseparated multipoint intermediate conditions
• Optimal control of the vibration of elastic systems described by the wave equation
• Optimal control of a system with intermediate conditions
• Optimal boundary displacement control at one end of a string with a medium exerting resistance at the other end
• Vibrating infinite string under general observation conditions and minimally smooth force
• Optimization of boundary controls of string vibrations
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