Stabilization of coupled systems

DOI10.1007/s10474-009-8011-7zbMath1224.93017OpenAlexW1966156368MaRDI QIDQ1046864

Michel Mehrenberger, Kaïs Ammari

Publication date: 29 December 2009

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-009-8011-7

zbMATH Keywords

observabilitystabilizationcoupled systemdissipative system

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Input-output approaches in control theory (93D25) Observability (93B07) Wave equation (35L05) Groups and semigroups of linear operators (47D03)

Related Items (11)

The lack of exponential stability for a weakly coupled wave equations through a variable density term ⋮ Indirect stability of a multidimensional coupled wave equations with one locally boundary fractional damping^* ⋮ An extension of a Lyapunov approach to the stabilization of second order coupled systems ⋮ Feedback stabilization of bilinear coupled hyperbolic systems ⋮ Stability results of a singular local interaction elastic/viscoelastic coupled wave equations with time delay ⋮ Stability of an interconnected system of Euler-Bernoulli beam and wave equation through boundary coupling ⋮ Stabilization of weakly coupled wave equations through a density term ⋮ The influence of the coefficients of a system of wave equations coupled by velocities on its stabilization ⋮ Optimal indirect stability of a weakly damped elastic abstract system of second order equations coupled by velocities ⋮ Local indirect stabilization of N-D system of two coupled wave equations under geometric conditions ⋮ Exponential stability of a network of serially connected Euler–Bernoulli beams

Cites Work

• Observability of coupled systems
• Representation and control of infinite dimensional systems. Volume I
• Semigroups of linear operators and applications to partial differential equations
• Observability of compactly perturbed systems
• Observabilité frontière indirecte de systèmes faiblement couplés
• Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
• Stabilization of second order evolution equations by a class of unbounded feedbacks
• How to get a conservative well-posed linear system out of thin air. Part I. Well-posedness and energy balance
• Fourier Series in Control Theory
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