An exponential stability result for the wave equation

DOI10.1016/S0005-1098(01)00252-7zbMath1010.93050OpenAlexW2019987746MaRDI QIDQ1614285

Ömer Morgül

Publication date: 5 September 2002

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0005-1098(01)00252-7

zbMATH Keywords

stabilitydistributed parameter systemsdynamic boundary controlone-dimensional linear wave equation

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Asymptotic stability in control theory (93D20) Wave equation (35L05)

Related Items (6)

Effect compensation of the presence of a time-dependent interior delay on the stabilization of the rotating disk-beam system ⋮ The exponential stabilization of a heat-wave coupled system and its approximation ⋮ Arbitrary decay for a nonlinear Euler-Bernoulli beam with neutral delay ⋮ Sliding mode boundary control of a parabolic PDE system with parameter variations and boundary uncertainties ⋮ Boundary stabilization and disturbance rejection for time fractional order diffusion-wave equations ⋮ Spectrum and stability of a \(1-d\) heat-wave coupled system with dynamical boundary control

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• Conditions for Robustness and Nonrobustness of the Stability of Feedback Systems with Respect to Small Delays in the Feedback Loop

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