Uniform stabilization of 1-d wave equation with anti-damping and delayed control
From MaRDI portal
Publication:2217581
DOI10.1016/j.jfranklin.2020.09.034zbMath1454.93242OpenAlexW3091163337MaRDI QIDQ2217581
Publication date: 31 December 2020
Published in: Journal of the Franklin Institute (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfranklin.2020.09.034
Control/observation systems governed by partial differential equations (93C20) Wave equation (35L05) Exponential stability (93D23)
Related Items
Cites Work
- Feedback stabilization of a class of evolution equations with delay
- Exponential stabilization of variable coefficient wave equations in a generic tree with small time-delays in the nodal feedbacks
- Dynamic feedback control and exponential stabilization of a compound system
- Stabilization of an Euler-Bernoulli beam with input delay in the boundary control
- Stability of the heat and of the wave equations with boundary time-varying delays
- Observer design for a class of nonlinear ODE-PDE cascade systems
- Stabilization of a second order ODE-heat system coupling at intermediate point
- New results on stability analysis for systems with discrete distributed delay
- Feedback equivalence for general control systems
- Exponential stability of linear distributed parameter systems with time-varying delays
- Compensating actuator and sensor dynamics governed by diffusion PDEs
- Semigroups of linear operators and applications to partial differential equations
- Feedback equivalence of constant linear systems
- Two questions concerning the boundary control of certain elastic systems
- On the perturbation theory for strongly continuous semigroups
- Boundary control of delayed ODE-heat cascade under actuator saturation
- A generalized free-matrix-based integral inequality for stability analysis of time-varying delay systems
- New insights on stability of sampled-data systems with time-delay
- Exponential stabilization for Timoshenko beam with distributed delay in the boundary control
- Stabilization of the wave equation on 1-D networks with a delay term in the nodal feedbacks
- On perturbation theory for semi-groups of operators
- Stabilization of string system with linear boundary feedback
- Output-based stabilization for a one-dimensional wave equation with distributed input delay in the boundary control
- Stabilisation of Timoshenko beam system with delay in the boundary control
- Output-based stabilization of Euler-Bernoulli beam with time-delay in boundary input
- Boundary Stabilization of a 1-D Wave Equation with In-Domain Antidamping
- Stabilization of wave systems with input delay in the boundary control
- 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
- One-Parameter Semigroups for Linear Evolution Equations
- The rate at which energy decays in a damped String
- Two examples of ill-posedness with respect to time delays revisited
- Nonselfadjoint operators generated by the equation of a nonhomogeneous damped string
- Boundary Stabilization of Wave Equation With Velocity Recirculation
- Rapid Exponential Stabilization of a 1‐D Transmission Wave Equation with In‐domain Anti‐damping
- Saturated Boundary Feedback Stabilization of a Linear Wave Equation
- Overview of recent advances in stability of linear systems with time‐varying delays
- Solvability of the Nonlocal Initial Value Problem and Application to Design of Controller for Heat-equation with Delay
- Feedback Stabilization of a 1-D Linear Reaction–Diffusion Equation With Delay Boundary Control
- On controllability of systems of strings
- Stability analysis of Euler‐Bernoulli beam with input delay in the boundary control