Internal rapid stabilization of a 1-D linear transport equation with a scalar feedback
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Publication:2119434
DOI10.3934/mcrf.2021006zbMath1491.35388arXiv1810.11214OpenAlexW2898191542MaRDI QIDQ2119434
Publication date: 29 March 2022
Published in: Mathematical Control and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.11214
stabilizationbacksteppingtransport equationinternal controlsystem equivalencerapid stabilizationFredholm transformations
Stabilization of systems by feedback (93D15) Stability in context of PDEs (35B35) System identification (93B30) Transformations (93B17) First-order hyperbolic equations (35L02) Exponential stability (93D23) Transport equations (35Q49)
Related Items (6)
Stabilization of the linearized water tank system ⋮ Small-time local stabilization of the two-dimensional incompressible Navier-Stokes equations ⋮ Boundary stabilization of one-dimensional cross-diffusion systems in a moving domain: linearized system ⋮ Boundary controllability and stabilizability of a coupled first-order hyperbolic-elliptic system ⋮ 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
- Functional analysis, Sobolev spaces and partial differential equations
- Semigroups of linear operators and applications to partial differential equations
- 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
- A linear control problem in an abstract Hilbert space
- 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
- Classical Fourier Analysis
- Boundary feedback stabilization of homogeneous equilibria in unstable fluid mixtures
- On the Lyapunov matrix equation
- On Spectrum Distribution of Completely Controllable Linear Systems
- A note on the algebraic matrix Riccati equation
- Rapid Boundary Stabilization of Linear Distributed Systems
- Stabilization of a rotating body beam without damping
- 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
- Rapid Exponential Feedback Stabilization with Unbounded Control Operators
- An introduction to frames and Riesz bases
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