Transfer functions for infinite-dimensional systems


Zwart, Hans (2004) Transfer functions for infinite-dimensional systems. In: 16th International Symposium on Mathematical Theory of Networks and Systems, 5-9 July 2004, Leuven, Belgium.

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Abstract:In this paper, we study three definitions of the transfer function for an infinite-dimensional system. The first one defines the transfer function as the expression $C(sI-A)^{-1}B+D$. In the second definition, the transfer function is defined as the quotient of the Laplace transform of the output and input, with initial condition zero. In the third definition, we introduce the transfer function as the quotient of the input and output, when the input and output are exponentials. We show that these definitions always agree on the right-half plane bounded to the left by the growth bound of the underlying semigroup, but that they may differ elsewhere.
Item Type:Conference or Workshop Item
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Metis ID: 233461