Global Well-Posedness of the KdV Equation on a Star-Shaped Network and Stabilization by Saturated Controllers
DOI10.1137/21M1434581zbMath1497.93098OpenAlexW4289781164WikidataQ113779033 ScholiaQ113779033MaRDI QIDQ5096054
Christophe Prieur, Emmanuelle Crépeau, Hugo Parada
Publication date: 12 August 2022
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/21m1434581
Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) KdV equations (Korteweg-de Vries equations) (35Q53) PDEs on graphs and networks (ramified or polygonal spaces) (35R02) Exponential stability (93D23) Networked control (93B70)
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Cites Work
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- Boundary stabilization of the Korteweg-de Vries equation and the Korteweg-de Vries-Burgers equation
- Control and stabilization of the Korteweg-de Vries equation: recent progresses
- Neumann boundary controllability of the Gear-Grimshaw system with critical size restrictions on the spatial domain
- Well-posedness of a nonlinear boundary value problem for the Korteweg-de Vries equation on a bounded domain
- Unique continuation for some evolution equations
- The Korteweg-de Vries equation on a metric star graph
- General boundary value problems of the Korteweg-de Vries equation on a bounded domain
- Control of a Korteweg-de Vries equation: a tutorial
- A non-homogeneous boundary-value problem for the Korteweg-de Vries equation in a quarter plane
- Wave Equation With Cone-Bounded Control Laws
- Exact boundary controllability for the Korteweg-de Vries equation on a bounded domain
- Unique continuation and decay for the Korteweg-de Vries equation with localized damping
- Exact Boundary Controllability of the Korteweg--de Vries Equation
- A Nonhomogeneous Boundary-Value Problem for the Korteweg–de Vries Equation Posed on a Finite Domain
- Stabilization of the Korteweg-de Vries equation with localized damping
- Neumann Boundary Controllability of the Korteweg--de Vries Equation on a Bounded Domain
- Feedback Stabilization and Boundary Controllability of the Korteweg--de Vries Equation on a Star-Shaped Network
- On the boundary controllability of the Korteweg–de Vries equation on a star-shaped network
- Local Stabilization of an Unstable Parabolic Equation via Saturated Controls
- Global Stabilization of a Korteweg--De Vries Equation With Saturating Distributed Control
- Control of the surface of a fluid by a wavemaker
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