Well-Posedness, stabilizability, and admissibility for Pritchard-Salamon systems

The object of this paper is to further develop the theory of Pritchard-Salamon systems, which are abstract in nite-dimensional systems allowing for a certain unboundedness of the control and observation operators. New results are derived on the transfer function and the impulse response of a Pritchard-Salamon system, on the well-posedness of feedback systems, on the invariance properties of the Pritchard-Salamon class under feedback and output injection, on the relation between bounded and admissible stabilizability and on the relationship between exponential and external stability.

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