A dynamic control law for the wave equation
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Publication:1345633
DOI10.1016/0005-1098(94)90083-3zbMath0815.93044OpenAlexW2044862681MaRDI QIDQ1345633
Publication date: 8 March 1995
Published in: Automatica (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/11693/26009
asymptotically stablepositive real functiondynamic boundary controllerone-dimensional linear wave equation
Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Asymptotic stability in control theory (93D20)
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Cites Work
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- Energie decay estimates and exact boundary value controllability for the wave equation in a bounded domain
- Decay of solutions of wave equations in a bounded region with boundary dissipation
- Stabilization of wave and plate-like equations with nonlinear dissipation on the boundary
- Semigroups of linear operators and applications to partial differential equations
- Uniform exponential energy decay of wave equations in a bounded region with \(L_ 2(0,\infty;L_ 2(\Gamma))\)-feedback control in the Dirichlet boundary conditions
- A direct method for the boundary stabilization of the wave equation
- Semidynamical systems in infinite dimensional spaces
- Dynamic boundary control of the Timoshenko beam
- Analysis and optimization of systems: state and frequency domain approaches for infinite-dimensional systems. Proceedings of the 10th international conference, Sophia-Antipolis, France, June 9-12, 1992
- Stabilization of boundary control systems
- Dynamical systems and stability
- Asymptotic behavior of nonlinear contraction semigroups
- Orientation and stabilization of a flexible beam attached to a rigid body: planar motion
- Control and stabilization of a flexible beam attached to a rigid body
- On the Spectrum of C 0 -Semigroups
- Distributed system transfer functions of exponential order
- Modeling, Stabilization and Control of Serially Connected Beams
- Not All Feedback Stabilized Hyperbolic Systems are Robust with Respect to Small Time Delays in Their Feedbacks
- Exact Controllability, Stabilization and Perturbations for Distributed Systems
- Boundary control of a Timoshenko beam attached to a rigid body: planar motion
- Ill-posed distributed parameter systems: a control viewpoint
- Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
- Spectral Theory for Contraction Semigroups on Hilbert Space
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