Local controllability and non-controllability for a 1D wave equation with bilinear control
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Publication:627683
DOI10.1016/j.jde.2010.10.008zbMath1221.35221OpenAlexW2042583426MaRDI QIDQ627683
Publication date: 3 March 2011
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2010.10.008
Controllability (93B05) Initial-boundary value problems for second-order hyperbolic equations (35L20) Wave equation (35L05)
Related Items (20)
Compactness of Fixed Point Maps and the Ball-Marsden-Slemrod Conjecture ⋮ Exact controllability to eigensolutions for evolution equations of parabolic type via bilinear control ⋮ On the bilinear control of the Gross-Pitaevskii equation ⋮ Local Exact Controllability of a One-Dimensional Nonlinear Schrödinger Equation ⋮ Exact controllability to eigensolutions of the bilinear heat equation on compact networks ⋮ Controllability of the wave equation with bilinear controls ⋮ Bilinear Control of a Degenerate Hyperbolic Equation ⋮ Small-time global approximate controllability of bilinear wave equations ⋮ Problem of optimal control for bilinear systems with endpoint constraint ⋮ Boundary controllability and stabilizability of a coupled first-order hyperbolic-elliptic system ⋮ An output optimal control of infinite-dimensional hyperbolic bilinear systems ⋮ Local controllability of 1D Schrödinger equations with bilinear control and minimal time ⋮ Regional optimal control of a bilinear wave equation ⋮ Finite-time control for the bilinear heat equation ⋮ Superexponential Stabilizability of Degenerate Parabolic Equations via Bilinear Control ⋮ Approximate and exact controllability of a reaction-diffusion equation governed by bilinear control ⋮ Superexponential stabilizability of evolution equations of parabolic type via bilinear control ⋮ A Topological Obstruction to the Controllability of Nonlinear Wave Equations with Bilinear Control Term ⋮ Approximate controllability of the semilinear reaction-diffusion equation governed by a multiplicative control ⋮ A numerical method of the Euler-Bernoulli beam with optimal local Kelvin-Voigt damping
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