Boundary control in critical time by elastic forces applied at two ends of an inhomogeneous rod for the case in which the wave propagation time over each of the inhomogenity parts is the same

DOI10.1134/S0012266113060086zbMath1273.93090OpenAlexW1977341620MaRDI QIDQ376359

A. V. Belikov

Publication date: 4 November 2013

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266113060086

zbMATH Keywords

boundary controlcritical timedistinct densitieselastic forcesinhomogeneous rodoriginally quiescent stickterminal displacementterminal stateterminal velocitywave propagation time

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Control/observation systems governed by partial differential equations (93C20) Initial-boundary value problems for second-order hyperbolic equations (35L20) Control of mechanical systems (70Q05)

Cites Work

• Boundary control by displacements at one endpoint of an inhomogeneous rod for fixed other endpoint in the case of coinciding times of passage of the wave through either of the inhomogeneity parts
• HAIRS FOR THE COMPLEX EXPONENTIAL FAMILY
• Unnamed Item

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