On the set of reachable states in the problem of controllability of rotating Timoshenko beams

DOI10.4171/ZAA/1141zbMath1097.93004OpenAlexW2047633794MaRDI QIDQ1866653

J. Wozniak, Werner Krabs, Grigory M. Sklyar

Publication date: 2003

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1141

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Control, switches and devices (``smart materials) in solid mechanics (74M05) Controllability (93B05) Control/observation systems governed by partial differential equations (93C20)

Related Items (11)

Exact observability conditions for Hilbert space dynamical systems connected with Riesz basis of divided differences ⋮ On the convexity of reachability sets of controlled initial-boundary value problems ⋮ Spectral analysis of a non‐homogeneous rotating Timoshenko beam ⋮ Optimal decay ratio of damped slowly rotating Timoshenko beams ⋮ Note on the Stability of a Slowly Rotating Timoshenko Beam with Damping ⋮ Spectral properties of non-homogeneous Timoshenko beam and its rest-to-rest controllability ⋮ Local convexity conditions for reachability tubes of distributed control systems ⋮ Accumulation of switchings in distributed parameter problems ⋮ Ullrich conditions and smoothness of reachable states of a rotating beam ⋮ Exact penalization of terminal constraints for optimal control problems ⋮ Construction of an optimal rest-to-rest control of a rotating beam

Cites Work

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• On the controllability of a slowly rotating Timoshenko beam
• Simultaneous controllability in sharp time for two elastic strings
• Construction of the control realizing the rotation of a Timoshenko beam

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