Same decay rate of second order evolution equations with or without delay
From MaRDI portal
Publication:2189154
DOI10.1016/j.sysconle.2020.104700zbMath1443.35012OpenAlexW3033111104MaRDI QIDQ2189154
Serge Nicaise, Akram Ben Aissa, Gilbert Bayili
Publication date: 15 June 2020
Published in: Systems \& Control Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.sysconle.2020.104700
Stabilization of systems by feedback (93D15) Stability in context of PDEs (35B35) Abstract hyperbolic equations (35L90)
Related Items (3)
Well-posedness and direct internal stability of coupled non-degenerate Kirchhoff system via heat conduction ⋮ Exponential stability of the transmission wave equation with a distributed delay term in the boundary damping ⋮ Rational energy decay rate for the wave equation with delay term on the dynamical control
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stabilization of hyperbolic equations with mixed boundary conditions
- Feedback stabilization of a class of evolution equations with delay
- A note on stabilization of locally damped wave equations with time delay
- Stabilization of the wave equation by the boundary
- Indirect internal stabilization of weakly coupled evolution equations
- Stabilization of elastic systems by collocated feedback
- Decay of solutions of wave equations in a bounded region with boundary dissipation
- Optimal polynomial decay of functions and operator semigroups
- Polynomial decay rate for the dissipative wave equation
- Non-uniform stability for bounded semi-groups on Banach spaces
- A direct method for the boundary stabilization of the wave equation
- Uniform stabilization of the wave equation with Dirichlet or Neumann feedback control without geometrical conditions
- Introduction to functional differential equations
- On the exponential and polynomial convergence for a delayed wave equation without displacement
- Boundary stabilization of the waves in partially rectangular domains
- Exponential energy decay of some coupled second order systems
- Local indirect stabilization of N-D system of two coupled wave equations under geometric conditions
- Optimal decay rate for the wave equation on a square with constant damping on a strip
- Energy decay for damped wave equations on partially rectangular domains
- Stabilization of the wave equation on 1-D networks with a delay term in the nodal feedbacks
- Characterization of polynomial decay rate for the solution of linear evolution equation
- Frequency domain approach for the polynomial stability of a system of partially damped wave equations
- Sharp Decay Rates for the Weakly Coupled Hyperbolic System with One Internal Damping
- The Multidimensional Wave Equation with Generalized Acoustic Boundary Conditions II: Polynomial Stability
- Exponential Decay for The Semilinear Wave Equation with Locally Distributed Damping
- Stabilization of wave systems with input delay in the boundary control
- Stabilization of second order evolution equations with unbounded feedback with delay
- Stability and Instability Results of the Wave Equation with a Delay Term in the Boundary or Internal Feedbacks
- Logarithmic Decay of Hyperbolic Equations with Arbitrary Small Boundary Damping
- On the Spectrum of C 0 -Semigroups
- 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
- Note on Boundary Stabilization of Wave Equations
- Use of time-delay actions in the controller design
- Rapid Boundary Stabilization of the Wave Equation
- Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
- Robustness with Respect to Delays for Exponential Stability of Distributed Parameter Systems
- Stabilization of second order evolution equations by a class of unbounded feedbacks
- Two examples of ill-posedness with respect to time delays revisited
- Locally Distributed Control and Damping for the Conservative Systems
- Indirect Boundary Stabilization of Weakly Coupled Hyperbolic Systems
- Conditions for Robustness and Nonrobustness of the Stability of Feedback Systems with Respect to Small Delays in the Feedback Loop
This page was built for publication: Same decay rate of second order evolution equations with or without delay
