Exponential stability of density-velocity systems with boundary conditions and source term for the \(H^2\) norm
From MaRDI portal
Publication:1983080
DOI10.1016/j.matpur.2021.07.001zbMath1473.35045OpenAlexW2963811386WikidataQ115568981 ScholiaQ115568981MaRDI QIDQ1983080
Publication date: 15 September 2021
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matpur.2021.07.001
Optimality conditions for problems involving partial differential equations (49K20) Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) First-order nonlinear hyperbolic equations (35L60) Euler equations (35Q31) Initial-boundary value problems for second-order hyperbolic systems (35L53)
Related Items (4)
Networks of geometrically exact beams: well-posedness and stabilization ⋮ Exact Boundary Controllability of Nodal Profile for Quasilinear Hyperbolic Systems and Its Asymptotic Stability ⋮ Feedback Stabilization of Tank-Liquid System with Robustness to Wall Friction ⋮ Small-time local stabilization of the two-dimensional incompressible Navier-Stokes equations
Cites Work
- Unnamed Item
- Stationary states in gas networks
- Stability and boundary stabilization of 1-D hyperbolic systems
- A strict \(H^1\)-Lyapunov function and feedback stabilization for the isothermal Euler equations with friction
- Backstepping stabilization of the linearized \textit{Saint-Venant-Exner} model
- Traffic dynamics and simulation. Data models and applications of traffic flow dynamics.
- On boundary feedback stabilization of non-uniform linear \(2\times 2\) hyperbolic systems over a bounded interval
- \(H^2\)-stabilization of the isothermal Euler equations: a Lyapunov function approach
- Robust boundary control of systems of conservation laws
- Global boundary controllability of the Saint-Venant system for sloped canals with friction
- The effect of boundary damping for the quasilinear wave equation
- Global smooth solutions of dissipative boundary value problems for first order quasilinear hyperbolic systems
- Well-posedness theory of an inhomogeneous traffic flow model
- A quadratic Lyapunov function for Saint-Venant equations with arbitrary friction and space-varying slope
- Classical solutions and feedback stabilization for the gas flow in a sequence of pipes
- Boundary stabilization of quasilinear hyperbolic systems of balance laws: exponential decay for small source terms
- On Lyapunov stability of linearised Saint-Venant equations for a sloping channel
- On the limits of stabilizability for networks of strings
- A quadratic Lyapunov function for hyperbolic density-velocity systems with nonuniform steady states
- Backstepping boundary control for first-order hyperbolic PDEs and application to systems with actuator and sensor delays
- The isothermal Euler equations for ideal gas with source term: product solutions, flow reversal and no blow up
- Local Exponential $H^2$ Stabilization of a $2\times2$ Quasilinear Hyperbolic System Using Backstepping
- Control of Homodirectional and General Heterodirectional Linear Coupled Hyperbolic PDEs
- Global controllability between steady supercritical flows in channel networks
- Existence of classical solutions and feedback stabilization for the flow in gas networks
- Gas Flow in Fan-Shaped Networks: Classical Solutions and Feedback Stabilization
- Boundary Control of PDEs
- Dissipative Boundary Conditions for One-Dimensional Nonlinear Hyperbolic Systems
- The motion of a finite mass of granular material down a rough incline
- Delay-Robust Control Design for Two Heterodirectional Linear Coupled Hyperbolic PDEs
- Boundary Feedback Stabilization of the Isothermal Euler Equations with Uncertain Boundary Data
- On boundary stability of inhomogeneous 2 × 2 1-D hyperbolic systems for the C1 norm
- Boundary Stability of 1-D Nonlinear Inhomogeneous Hyperbolic Systems for the $C^{1}$ Norm
- Dissipative Boundary Conditions for One-Dimensional Quasi-linear Hyperbolic Systems: Lyapunov Stability for the $C^1$-Norm
- Dissipative Boundary Conditions for Nonlinear 1-D Hyperbolic Systems: Sharp Conditions Through an Approach via Time-Delay Systems
- Closed-Form Boundary State Feedbacks for a Class of 1-D Partial Integro-Differential Equations
- A Strict Lyapunov Function for Boundary Control of Hyperbolic Systems of Conservation Laws
- 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
- Hyperbolic Conservation Laws in Continuum Physics
This page was built for publication: Exponential stability of density-velocity systems with boundary conditions and source term for the \(H^2\) norm
