Numerical boundary control for semilinear hyperbolic systems
Stephan Gerster, Felix Nagel, Aleksey Sikstel, Giuseppe Visconti
TL;DR
This paper develops a computational framework for boundary control of semilinear hyperbolic systems, using Lyapunov stability and CWENO reconstruction to ensure system states reach desired targets.
Contribution
It introduces a novel method combining Lyapunov stability analysis with CWENO reconstruction for boundary control of semilinear hyperbolic systems.
Findings
Provides sufficient conditions for boundary control effectiveness
Demonstrates the approach's stability through theoretical analysis
Offers a computational scheme applicable to physical systems
Abstract
This work is devoted to the design of boundary controls of physical systems that are described by semilinear hyperbolic balance laws. A computational framework is presented that yields sufficient conditions for a boundary control to steer the system towards a desired state. The presented approach is based on a Lyapunov stability analysis and a CWENO-type reconstruction.
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Taxonomy
TopicsStability and Controllability of Differential Equations · Numerical methods for differential equations · Computational Fluid Dynamics and Aerodynamics