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arXiv · 2006.02492

An analysis of the input-to-state-stabilisation of linear hyperbolic systems of balance laws with boundary disturbances

Gediyon Yemane Weldegiyorgis·Mapundi Kondwani Banda
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Abstract

In this paper, a linear hyperbolic system of balance laws with boundary disturbances in one dimension is considered. An explicit candidate Input-to-State Stability (ISS)-Lyapunov function in $ L^2- $norm is considered and discretised to investigate conditions for ISS of the discrete system as well. Finally, experimental results on test examples including the Saint-Venant equations with boundary disturbances are presented. The numerical results demonstrate the expected theoretical decay of the Lyapunov function.

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Gediyon Yemane Weldegiyorgis, Mapundi Kondwani Banda. 2020-06-03. An analysis of the input-to-state-stabilisation of linear hyperbolic systems of balance laws with boundary disturbances. https://arxiv.org/abs/2006.02492

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