Fractional boundary stabilization for a coupled system of wave equations
DOI10.1007/s11565-021-00362-wzbMath1469.93089OpenAlexW3155329188MaRDI QIDQ2041910
Mokhtar Kerdache, M'Hamed Kesri, Abbes Benaissa
Publication date: 26 July 2021
Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11565-021-00362-w
frequency domain methodoptimal polynomial stabilityfractional boundary feedbackssystem of coupled wave equations
Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Wave equation (35L05)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Optimal polynomial decay of functions and operator semigroups
- Stabilization through viscoelastic boundary damping: a semigroup approach
- Semigroups of linear operators and applications to partial differential equations
- Fractional order Volterra equations with applications to elasticity
- Stability and stabilization of infinite dimensional systems with applications
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Biot-JKD model: simulation of 1D transient poroelastic waves with fractional derivatives
- On the Appearance of the Fractional Derivative in the Behavior of Real Materials
- Fractional calculus - A different approach to the analysis of viscoelastically damped structures
- A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
- On the Spectrum of C 0 -Semigroups
- Asymptotic stability of linear differential equations in Banach spaces
- Tauberian Theorems and Stability of One-Parameter Semigroups
- Boundary fractional derivative control of the wave equation
- Well‐posedness and energy decay of solutions to a wave equation with a general boundary control of diffusive type
- The Euler–Bernoulli beam equation with boundary dissipation of fractional derivative type
- Wave energy decay under fractional derivative controls
This page was built for publication: Fractional boundary stabilization for a coupled system of wave equations