Output feedback stabilization of an unstable wave equation with observations subject to time delay

DOI10.1007/S11424-016-5169-2zbMath1414.93158OpenAlexW2409206479MaRDI QIDQ2416525

Xiang Ren, Jie Zhang, Kun-Yi Yang

Publication date: 23 May 2019

Published in: Journal of Systems Science and Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11424-016-5169-2

zbMATH Keywords

time delaywave equationexponential stabilityobservability inequalityoutput feedbackunstable boundary condition

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Asymptotic stability in control theory (93D20) Observability (93B07) Wave equation (35L05)

Related Items (1)

Null controllability of some degenerate wave equations

Cites Work

• Unnamed Item
• Exponential stability of linear distributed parameter systems with time-varying delays
• Stabilization of an unstable reaction-diffusion PDE cascaded with a heat equation
• Boundary control of an anti-stable wave equation with anti-damping on the uncontrolled boundary
• Dynamic stabilization of an Euler-Bernoulli beam equation with time delay in boundary observation
• Output-feedback stabilization of an unstable wave equation
• Riesz Basis Approach to the Stabilization of a Flexible Beam with a Tip Mass
• Wave Equation Stabilization by Delays Equal to Even Multiples of the Wave Propagation Time
• Output feedback stabilization of a one-dimensional wave equation with an arbitrary time delay in boundary observation
• An Example on the Effect of Time Delays in Boundary Feedback Stabilization of Wave Equations
• Not All Feedback Stabilized Hyperbolic Systems are Robust with Respect to Small Time Delays in Their Feedbacks
• Admissibility of Unbounded Control Operators
• The Salamon-Weiss class of well-posed infinite-dimensional linear systems: a survey
• Riesz Basis Property of Evolution Equations in Hilbert Spaces and Application to a Coupled String Equation
• Conditions for Robustness and Nonrobustness of the Stability of Feedback Systems with Respect to Small Delays in the Feedback Loop
• Correction to “Output Feedback Stabilization of a One-Dimensional Schrödinger Equation by Boundary Observation with Time Delay” [May 10 1226-1232
• Stabilization of One‐Dimensional Schrödinger Equation with Variable Coefficient under Delayed Boundary Output Feedback

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