On boundary controllability of a vibrating plate

DOI10.1007/BF01442208zbMath0596.49025MaRDI QIDQ1078513

Günter R. Leugering, Thomas I. Seidman, Werner Krabs

Publication date: 1985

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

zbMATH Keywords

boundary controllabilitygeneralized solutionvibrating platenull controllability problem with constraints

Mathematics Subject Classification ID

Related Items (17)

Control Norms for Large Control Times ⋮ Controllability of the wave equation with moving point control ⋮ How violent are fast controls? ⋮ The null controllability of thermoelastic plates and singularity of the associated minimal energy function ⋮ A Stability Result for a Degenerate Beam Equation ⋮ Boundary controllability for a degenerate beam equation ⋮ Bounds on functions biorthogonal to sets of complex exponentials. Control of damped elastic systems ⋮ The ``window problem for series of complex exponentials ⋮ How violent are fast controls. III. ⋮ Optimal boundary control of vibrating structures in two space dimensions ⋮ Controllability cost of conservative systems: resolvent condition and transmutation ⋮ Boundary optimal control of structural vibrations in an annular plate ⋮ Exact boundary controllability of an integrodifferential equation ⋮ Controllability and stabilizability of vibrating simply supported plate with pointwise control ⋮ Open-loop stabilizability of infinite-dimensional systems ⋮ Boundary Observability for the Viscoelastic Wave Equation ⋮ A Maximum Principle for Optimal Boundary Control of Multiply-Connected Vibrating Plates

Cites Work

• Elementary remarks on completeness
• On boundary controllability of one-dimensional vibrating systems
• Controllability and Stabilizability Theory for Linear Partial Differential Equations: Recent Progress and Open Questions
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