Boundary state feedback exponential stabilization for a one-dimensional wave equation with velocity recirculation
From MaRDI portal
Publication:2173969
DOI10.1016/j.automatica.2019.108796zbMath1440.93200OpenAlexW2999962786WikidataQ115583256 ScholiaQ115583256MaRDI QIDQ2173969
Publication date: 17 April 2020
Published in: Automatica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.automatica.2019.108796
Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Wave equation (35L05) Exponential stability (93D23)
Related Items (9)
Observer and boundary output feedback control for coupled ODE-transport PDE ⋮ Boundary stabilization of a \(1\)-D wave equation with multi-point velocity recirculations ⋮ Output tracking for a 1-D wave equation with velocity recirculation via boundary control ⋮ Linear quadratic optimal control for systems governed by first-order hyperbolic partial differential equations ⋮ Adaptive error feedback regulator problem for a 1-D wave equation with velocity recirculation ⋮ Observer-based nonlinear control for a flexible wing with non-collocated and unknown output constraints ⋮ Boundary output feedback stabilization for a cascaded wave PDE-ODE system with velocity recirculation and matched disturbance ⋮ Boundary stabilization and state estimation of ODE-transport PDE with in-domain coupling ⋮ Static feedback stabilization of a rotating disk-cable system with measurements from each boundary
Cites Work
- Unnamed Item
- Delay compensation for nonlinear, adaptive, and PDE systems
- Semigroups of linear operators and applications to partial differential equations
- Stabilization of linear heat equation with a heat source at intermediate point by boundary control
- Boundary control of an anti-stable wave equation with anti-damping on the uncontrolled boundary
- Output-feedback stabilization of an unstable wave equation
- Backstepping observers for a class of parabolic PDEs
- Backstepping boundary control for first-order hyperbolic PDEs and application to systems with actuator and sensor delays
- Local Exponential $H^2$ Stabilization of a $2\times2$ Quasilinear Hyperbolic System Using Backstepping
- Backstepping-Forwarding Control and Observation for Hyperbolic PDEs With Fredholm Integrals
- Boundary Stabilization of a 1-D Wave Equation with In-Domain Antidamping
- Boundary Controllers and Observers for the Linearized Schrödinger Equation
- Boundary Control of PDEs
- Control of a Tip-Force Destabilized Shear Beam by Observer-Based Boundary Feedback
- Pointwise Stabilization in the Middle of the Span for Second Order Systems, Nonuniform and Uniform Exponential Decay of Solutions
- Exponential Stability Analysis of a Long Chain of Coupled Vibrating Strings with Dissipative Linkage
- Stabilizability of coupled wave equations in parallel under various boundary conditions
- Boundary control of an unstable heat equation via measurement of domain-averaged temperature
- Boundary Stabilization of Wave Equation With Velocity Recirculation
- Boundary Feedback Stabilization of a Class of Coupled Hyperbolic Equations With Nonlocal Terms
- Closed-Form Boundary State Feedbacks for a Class of 1-D Partial Integro-Differential Equations
- Stabilization of a System of <formula formulatype="inline"> <tex Notation="TeX">$n+1$</tex></formula> Coupled First-Order Hyperbolic Linear PDEs With a Single Boundary Input
This page was built for publication: Boundary state feedback exponential stabilization for a one-dimensional wave equation with velocity recirculation
