Well-posedness and regularity for a class of hyperbolic boundary control systems

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Zwart, Hans and Le Gorrec, Yann and Maschke, Bernhard and Villegas, Javier (2006) Well-posedness and regularity for a class of hyperbolic boundary control systems. In: 17th International Symposium on Mathematical Theory of Networks and Systems, 24-28 Jul 2006, Kyoto, Japan.

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Abstract:We study a class of hyperbolic partial differential equations on a one dimensional spatial domain with control and observation at the boundary. Using the idea of feedback we show this class of (boundary control) system defines a well-posed system in the sense of Weiss and Salamon. Furthermore, we show that the corresponding transfer function is regular, i.e., has a limit for s going to infinity.
Item Type:Conference or Workshop Item
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Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Link to this item:http://purl.utwente.nl/publications/63697
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Metis ID: 237626