Reduction of an elastic system to a prescribed state by use of a boundary force

DOI10.1016/0021-8928(81)90126-XzbMath0503.73010MaRDI QIDQ1173422

L. D. Akulenko

Publication date: 1981

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

zbMATH Keywords

constant-coefficient hyperbolic equationgeneral case of arbitrary initial and final distributionslumped boundary forceoptimal control of motion of distributed elastic system

Mathematics Subject Classification ID

Controllability (93B05) Existence theories for optimal control problems involving partial differential equations (49J20) Elastic materials (74B99) Partial differential equations and systems of partial differential equations with constant coefficients (35E99)

Related Items (8)

Constructive control of the motion of oscillating systems with discrete and distributed parameters ⋮ Control of the motions of a membrane by means of boundary forces ⋮ Oscillations in a continuously stratified fluid in a moving vessel, and their control ⋮ Optimal singular and chattering modes in the problem of controlling the vibrations of a string with clamped ends ⋮ Quasistationary finite-interval control of the motion of hybrid oscillatory systems ⋮ Controlling the one-dimensional motion of hybrid vibrational rod systems ⋮ A constrained scalar control for the motion of a system of oscillators with damping residual oscillations ⋮ Analysis of controlled rotations of an elastic rod around an arbitrary axis

Cites Work

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• Optimal control of processes with distributed parameters given incomplete information
• On the control of systems with elastic elements
• Analysis of Massless Elastic Chains With Servo Controlled Joints
• Certain Estimates for Solutions of Nonlinear Elliptic Differential Equations Applicable to the Theory of Thin Plates

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