Global existence and energy decay of solutions to a viscoelastic Bresse-type system with a nonlinear delay term

DOI10.1080/00207179.2020.1855476zbMath1492.93131OpenAlexW3109204437MaRDI QIDQ5863717

Publication date: 3 June 2022

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207179.2020.1855476

zbMATH Keywords

Lyapunov functionals delay term decay rate viscoelastic term Bresse-type system

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Control/observation systems governed by ordinary differential equations (93C15)

Cites Work

Asymptotic behavior for a viscoelastic wave equation with a delay term
The optimal decay rate for a weak dissipative Bresse system
Weakly locally internal stabilization of elastic Bresse system
Stability to weak dissipative Bresse system
Stabilization of the wave equation with boundary or internal distributed delay.
Convexity and weighted integral inequalities for energy decay rates of nonlinear dissipative hyperbolic systems
Global existence and energy decay of solutions to a viscoelastic wave equation with a delay term in the non-linear internal feedback
Energy decay rate of the thermoelastic Bresse system
Uniform stability for the Timoshenko beam with tip load
Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping
Decay rates for dissipative wave equations
Asymptotic stability of thermoelastic systems of Bresse type
General decay of solutions of a Bresse system with viscoelastic boundary conditions
General decay of the solution to a nonlinear viscoelastic modified von-Kármán system with delay
Decay rates for Bresse system with arbitrary nonlinear localized damping
General decay rate estimates for viscoelastic dissipative systems
Existence and decay of solutions of a viscoelastic equation with a nonlinear source
Global existence and energy decay of solutions to a viscoelastic Timoshenko beam system with a nonlinear delay term
Rates of decay to weak thermoelastic Bresse system
Boundary stabilization of a Bresse-type system
Stability and Instability Results of the Wave Equation with a Delay Term in the Boundary or Internal Feedbacks
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
Use of time-delay actions in the controller design
Stability and optimality of decay rate for a weakly dissipative Bresse system
Bresse system with infinite memories
Energy decay rates for a Timoshenko-type system of thermoelasticity of type III with constant delay
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