On controllability of an elastic ring

DOI10.1007/s00245-009-9064-2zbMath1211.93017OpenAlexW1969346018MaRDI QIDQ985714

Boris P. Belinskiy, Sergei A. Ivanov, Sergeĭ Anatol'evich Avdonin

Publication date: 6 August 2010

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

Full work available at URL: https://doi.org/10.1007/s00245-009-9064-2

zbMATH Keywords

controlSobolev spaceswave equationdistributed parameter systemsbases of functions

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Control of mechanical systems (70Q05) Second-order hyperbolic systems (35L51) PDEs in connection with control and optimization (35Q93)

Related Items (5)

Exact controllability of the wave equation on graphs ⋮ Exact observability and controllability for a nonsimple elastic rod ⋮ On controllability of a linear elastic beam with memory under longitudinal load ⋮ On controllability of a non-homogeneous elastic string with memory ⋮ Simultaneous temperature and flux controllability for heat equations with memory

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the basis properties of the functions arising in the boundary control problem of a string with a variable tension
• Modeling, analysis and control of dynamic elastic multi-link structures
• Controllability of a string under tension
• On the connection between exponential bases and certain related sequences in \(L^ 2 (-\pi, \pi)\)
• On controllability of a rotating string
• Nonharmonic FOurier series in the control theory of distributed parameter systems
• Control of a clamped-free beam by a piezoelectric actuator
• Controllability and Stabilizability Theory for Linear Partial Differential Equations: Recent Progress and Open Questions
• Simultaneous controllability in sharp time for two elastic strings
• On controllability of an elastic string with a viscous damping
• Exponential bases in Sobolev spaces in control and observation problems for the wave equation
• Exact Controllability and Stabilization of a Vibrating String with an Interior Point Mass
• Regularity and Exact Controllability for a Beam with Piezoelectric Actuator
• Simultaneous control problems for systems of elastic strings and beams

This page was built for publication: On controllability of an elastic ring