A note on a class of conservative, well-posed linear control systems

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Abstract

We discuss a class of linear control problems in a Hilbert space setting. The aim is to show that these control problems fit in a particular class of evolutionary equations such that the discussion of well-posedness becomes easily accessible. Furthermore, we study the notion of conservativity. For this purpose we require additional regularity properties of the solution operator in order to allow point-wise evaluations of the solution. We exemplify our findings by a system with unbounded control and observation operators.

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Picard, R., Trostorff, S., & Waurick, M. (2013). A note on a class of conservative, well-posed linear control systems. In Springer Proceedings in Mathematics and Statistics (Vol. 44, pp. 261–286). Springer New York LLC. https://doi.org/10.1007/978-3-319-00125-8_12

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