Polynomial stability of the wave equation with distributed delay term on the dynamical control

DOI10.1515/msds-2020-0134zbMath1481.35070OpenAlexW4206104554MaRDI QIDQ2063271

Gilbert Bayili, Roland Silga

Publication date: 11 January 2022

Published in: Nonautonomous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/msds-2020-0134

zbMATH Keywords

strong stabilityfrequency domain approachpolynomial decaydynamical controllack of uniform stabilitydistributed delay term in the boundary condition

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Stability in context of PDEs (35B35) Wave equation (35L05)

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Cites Work

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• Optimal decay for coupled waves with Kelvin-Voigt damping
• Stabilization of the wave equation with boundary or internal distributed delay.
• Optimal polynomial decay of functions and operator semigroups
• Global stability of a partial differential equation with distributed delay due to cellular replication
• Time-delay systems: an overview of some recent advances and open problems.
• Rational energy decay rate for a wave equation with dynamical control
• Oscillation properties of a logistic equation with distributed delay
• Rational energy decay rate for the wave equation with delay term on the dynamical control
• Global stability in chemostat models involving time delays and wall growth
• Powers of a contraction in Hilbert space
• Stability of Traffic Flow Behavior with Distributed Delays Modeling the Memory Effects of the Drivers
• Stability and Instability Results of the Wave Equation with a Delay Term in the Boundary or Internal Feedbacks
• Global exponential stability of impulsive dynamical systems with distributed delays
• On the Spectrum of C 0 -Semigroups
• A Note on Weak Stabilizability of Contraction Semigroups
• An improved stability criterion for systems with distributed delays
• Stability criteria for a class of linear neutral systems with time-varying discrete and distributed delays
• Consensus Problems with Distributed Delays, with Application to Traffic Flow Models
• Asymptotic Behavior of a Discrete Maturity Structured System of Hematopoietic Stem Cell Dynamics with Several Delays
• Stability of time-delay systems

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