On controllability of an elastic string with a viscous damping

DOI10.1080/01630569808816826zbMath0910.35073OpenAlexW2137206637MaRDI QIDQ4400139

Marianna A. Shubov, Boris P. Belinskiy, Clyde F. Martin, Jerald P. Dauer

Publication date: 25 April 1999

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569808816826

zbMATH Keywords

method of moments

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Initial-boundary value problems for second-order hyperbolic equations (35L20) Asymptotic expansions of solutions to PDEs (35C20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (9)

Damping optimization in mechanical systems with external force ⋮ Controllability and identifiability of multi-delay dynamic systems ⋮ Optimal control of an elastic string with viscous damping ⋮ Geometric properties of root vectors for equation of nonhomogeneous damped string: transformation operators method ⋮ On controllability of a rotating string ⋮ On controllability of an elastic ring ⋮ Stability of Dynamical Systems with a Multiplicative White Noise ⋮ Optimal control of an elastic string with viscous damping ⋮ Geometric properties of root vectors for equation of nonhomogeneous damped string: transformation operators method

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
• Nonharmonic FOurier series in the control theory of distributed parameter systems
• The Wave Propagation Method for the Analysis of Boundary Stabilization in Vibrating Structures
• Resonances in the scattering of acoustic waves by a spherical inhomogeneity of the density
• Boundary Value Control of the Wave Equation in a Spherical Region
• CARLESON SERIES OF RESONANCES IN THE REGGE PROBLEM
• Exact Controllability and Stabilization of a Vibrating String with an Interior Point Mass
• The rate at which energy decays in a string damped at one end
• A Unified Boundary Controllability Theory for Hyperbolic and Parabolic Partial Differential Equations
• Optimal Regulation of Linear Symmetric Hyperbolic Systems with Finite Dimensional Controls

This page was built for publication: On controllability of an elastic string with a viscous damping