On the complete damping of oscillations of an inhomogeneous rod by means of a boundary control at one end

DOI10.1134/S0081543812020083zbMath1295.93063OpenAlexW1965659701MaRDI QIDQ742007

Vladimir Il'in

Publication date: 17 September 2014

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

Full work available at URL: https://doi.org/10.1134/s0081543812020083

zbMATH Keywords

boundary control theorydamping of oscillations

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Control of mechanical systems (70Q05) Robust stability (93D09)

Cites Work

• Reduction of the vibrations of an initially stationary rod consisting of two different segments to an arbitrary state
• A terminal-boundary value problem that describes the process of damping the vibrations of a rod consisting of two segments with different densities and elasticity coefficients but with identical wave travel times
• THE SOLVABILITY OF MIXED PROBLEMS FOR HYPERBOLIC AND PARABOLIC EQUATIONS
• Boundary control of oscillations at one endpoint with the other endpoint fixed in terms of a finite-energy generalized solution of the wave equation
• Two-endpoint boundary control of vibrations described by a finite-energy generalized solution of the wave equation

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