Finite-time internal stabilization of a linear 1-D transport equation
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Publication:2338194
DOI10.1016/J.SYSCONLE.2019.104529zbMath1427.93198OpenAlexW2910287291MaRDI QIDQ2338194
Publication date: 21 November 2019
Published in: Systems \& Control Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.sysconle.2019.104529
feedback stabilizationbacksteppingtransport equationfinite-timeinternal controlFredholm transformations
Related Items (10)
Stabilization of the linearized water tank system ⋮ Observer and boundary output feedback control for coupled ODE-transport PDE ⋮ Boundary stabilization of one-dimensional cross-diffusion systems in a moving domain: linearized system ⋮ Null-controllability of linear hyperbolic systems in one dimensional space ⋮ A Fredholm Transformation for the Rapid Stabilization of a Degenerate Parabolic Equation ⋮ Small-time global stabilization of the viscous Burgers equation with three scalar controls ⋮ Boundary stabilization and state estimation of ODE-transport PDE with in-domain coupling ⋮ Cost for a controlled linear KdV equation ⋮ PI controllers for the general Saint-Venant equations ⋮ Fredholm transformation on Laplacian and rapid stabilization for the heat equation
Cites Work
- Unnamed Item
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- Stability and boundary stabilization of 1-D hyperbolic systems
- Stabilization and controllability of first-order integro-differential hyperbolic equations
- Local rapid stabilization for a Korteweg-de Vries equation with a Neumann boundary control on the right
- Canonical forms and spectral determination for a class of hyperbolic distributed parameter control systems
- Backstepping in infinite dimension for a class of parabolic distributed parameter systems
- Backstepping boundary control of Burgers' equation with actuator dynamics
- Rapid stabilization of a linearized bilinear 1-D Schrödinger equation
- Finite-time boundary stabilization of general linear hyperbolic balance laws via Fredholm backstepping transformation
- Small-time local stabilization for a Korteweg-de Vries equation
- Backstepping synthesis for feedback control of first-order hyperbolic PDEs with spatial-temporal actuation
- Fredholm transform and local rapid stabilization for a Kuramoto-Sivashinsky equation
- Null controllability and finite time stabilization for the heat equations with variable coefficients in space in one dimension via backstepping approach
- Output-feedback stabilization of an unstable wave equation
- Infinite dimensional backstepping-style feedback transformations for a heat equation with an arbitrary level of instability
- Control theory of hyperbolic equations related to certain questions in harmonic analysis and spectral theory
- Local Exponential $H^2$ Stabilization of a $2\times2$ Quasilinear Hyperbolic System Using Backstepping
- Rapid Stabilization in a Semigroup Framework
- Boundary Stabilization of a 1-D Wave Equation with In-Domain Antidamping
- Boundary Control of PDEs
- Dissipative Boundary Conditions for One-Dimensional Nonlinear Hyperbolic Systems
- Control Canonical Forms and Eigenvalue Assignment by Feedback for a Class of Linear Hyperbolic Systems
- Nonlinear design of adaptive controllers for linear systems
- Rapid Boundary Stabilization of Linear Distributed Systems
- Stabilization of a rotating body beam without damping
- Local controllability of a 1-D tank containing a fluid modeled by the shallow water equations
- Null Controllability of a Linearized Korteweg--de Vries Equation by Backstepping Approach
- Spectral Assignability for Distributed Parameter Systems with Unbounded Scalar Control
- On boundary stability of inhomogeneous 2 × 2 1-D hyperbolic systems for the C1 norm
- Discontinuous feedback stabilization of minimum-phase semilinear infinite-dimensional systems with application to chemical tubular reactor
- Dynamics and solutions to some control problems for water-tank systems
- Rapid Exponential Feedback Stabilization with Unbounded Control Operators
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