Asymptotic analysis and control of a hybrid system composed by two vibrating strings connected by a point mass

DOI10.1051/cocv:1997108zbMath1055.74543OpenAlexW2017756803MaRDI QIDQ4386659

Carlos Castro

Publication date: 4 May 1998

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/90507

Mathematics Subject Classification ID

Control, switches and devices (``smart materials) in solid mechanics (74M05) Control/observation systems governed by partial differential equations (93C20) Singular perturbations in context of PDEs (35B25) Thin bodies, structures (74K99) Wave equation (35L05)

Related Items (19)

Asymptotics for wave equations with damping only on the dynamical boundary ⋮ On the finite-time Bhat-Bernstein feedbacks for the strings connected by point mass ⋮ Spectrum of a network of Euler-Bernoulli beams ⋮ Controllability properties of a hyperbolic system with dynamic boundary conditions ⋮ Convergence and stability analyses of hierarchic models of dissipative second order evolution equations ⋮ Spectral clusters, asymmetric spaces, and boundary control for Schrödinger equation with strong singularities ⋮ Exact Controllability for String with Attached Masses ⋮ Control of a network of Euler-Bernoulli beams ⋮ Controllability and influence of the spatial discretization of the beam equation ⋮ Controllability for a string with attached masses and Riesz bases for asymmetric spaces ⋮ Boundary controllability of a chain of serially connected Euler-Bernoulli beams with interior masses ⋮ Dynamic transmission conditions for linear hyperbolic systems on networks ⋮ Anti-disturbance stabilization for a hybrid system of non-uniform elastic string ⋮ Boundary Controllability of Two Vibrating Strings Connected by a Point Mass with Variable Coefficients ⋮ Numerical approximation schemes for multi-dimensional wave equations in asymmetric spaces ⋮ Mathematical and computer modelling in engineering sciences ⋮ Exact boundary controllability of two Euler-Bernoulli beams connected by a point mass ⋮ Null boundary controllability of a one-dimensional heat equation with an internal point mass and variable coefficients ⋮ Normal ordering and boundary conditions in open bosonic strings

Cites Work

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• Eigenoscillations of a string with an additional mass
• Non-homogeneous media and vibration theory
• Asymptotic behavior of the eigenvalues of a Sturm-Liouville system with discontinuous coefficients
• Séries lacunaires et contrôle semi-interne des vibrations d'une plaque rectangulaire. (Lacunary series and semi-internal control of vibrations of a rectangular plate)
• Exact boundary controllability for the wave equation in domains with small holes
• Divided Differences and Systems of Nonharmonic Fourier Series
• Exact Controllability and Stabilization of a Vibrating String with an Interior Point Mass

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