Numerical boundary feedback stabilisation of non-uniform hyperbolic systems of balance laws
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Publication:5113306
DOI10.1080/00207179.2018.1509133zbMath1443.93103OpenAlexW2886308620MaRDI QIDQ5113306
Gediyon Y. Weldegiyorgis, Mapundi Kondwani Banda
Publication date: 4 June 2020
Published in: International Journal of Control (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/2263/66117
controllabilityconservation lawsLyapunov functionsfeedback stabilisationsystems of non-uniform balance laws
Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15)
Related Items (5)
Boundary control design for conservation laws in the presence of measurement disturbances ⋮ Numerical boundary control for semilinear hyperbolic systems ⋮ Feedforward boundary control of \(2\times 2\) nonlinear hyperbolic systems with application to Saint-Venant equations ⋮ Input-to-state stability of non-uniform linear hyperbolic systems of balance laws via boundary feedback control ⋮ Input-to-state stability in sup norms for hyperbolic systems with boundary disturbances
Cites Work
- Unnamed Item
- Stability and boundary stabilization of 1-D hyperbolic systems
- Lyapunov exponential stability of 1-D linear hyperbolic systems of balance laws
- Backstepping stabilization of the linearized \textit{Saint-Venant-Exner} model
- Constrained optimization and optimal control for partial differential equations
- On boundary feedback stabilization of non-uniform linear \(2\times 2\) hyperbolic systems over a bounded interval
- Gas flow in pipeline networks
- Robust boundary control of systems of conservation laws
- Boundary feedback control in networks of open channels.
- Formulations for numerically approximating hyperbolic systems governing sediment transport
- Numerical discretization of stabilization problems with boundary controls for systems of hyperbolic conservation laws
- Numerical discretization of boundary control problems for systems of balance laws: feedback stabilization
- On Lyapunov stability of linearised Saint-Venant equations for a sloping channel
- Control of systems of conservation laws with boundary errors
- Boundary control of hyperbolic conservation laws using a frequency domain approach
- Boundary control with integral action for hyperbolic systems of conservation laws: stability and experiments
- Stabilization of Networked Hyperbolic Systems with Boundary Feedback
- Stability of Switched Linear Hyperbolic Systems by Lyapunov Techniques
- Existence of classical solutions and feedback stabilization for the flow in gas networks
- A New Method for Solving Transient Lossy Transmission Line Problem
- Dissipative Boundary Conditions for One-Dimensional Nonlinear Hyperbolic Systems
- Finite Volume Methods for Hyperbolic Problems
- 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
- On the Fundamental Diagram of Traffic Flow
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