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Numerical boundary control for semilinear hyperbolic systems

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arxiv 2203.14747 v2 pith:V54KZ57P submitted 2022-03-28 math.OC

Numerical boundary control for semilinear hyperbolic systems

classification math.OC
keywords boundarycontrolhyperbolicpresentedsemilinearsystemsanalysisapproach
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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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