Boundary Control Systems and the System Node


Villegas, J.A. and Le Gorrec, Y. and Zwart, H.J. (2005) Boundary Control Systems and the System Node. In: Proceedings of the 16th IFAC World Congress, 3-8 July 2005, Prague, Czech Republic.

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Abstract:In this paper we show how to formulate a boundary control system in terms of the system node, that is, as an operator $ \mathcal{S}:= \left[
\begin{smallmatrix} A\& B\, \\ C\& D \end{smallmatrix}\right]:D(S) \rightarrow \vects{ X }{ Y }$ where $X$ is the state space and $Y$ is the output space. Here we give results which show how to find the top part of this operator and its domain in an easy way. For a class of boundary control systems, associated with a skew-symmetric differential operator, we completely identify the system node. Some results about stability and approximate observability are presented for this class of systems.
Item Type:Conference or Workshop Item
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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