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In this paper we show how to formulate a boundary control system in terms of the system node, that is, as an operator S := [ A&B C&D ] : D(S) â†’ [ Y ] where X is the state space and Y is the outputâ€¦ (More)

- Yann Le Gorrec, Hans Zwart, Bernhard Maschke
- SIAM J. Control and Optimization
- 2005

Associated with a skew-symmetric linear operator on the spatial domain [a, b] we define a Dirac structure which includes the port variables on the boundary of this spatial domain. This Diracâ€¦ (More)

A mixed sensitivityHâˆž problem is solved for dead-time systems. It is shown that for a given bound on the Hâˆž-norm there exist causal stabilizing controllers that achieve this bound if and only if aâ€¦ (More)

- J.A. Villegas, Hans Zwart, Y. Le Gorrec, Bernhard Maschke, A. J. van der Schaft
- Proceedings of the 44th IEEE Conference onâ€¦
- 2005

We study a class of partial differential equations on a one dimensional spatial domain with control and observation at the boundary. For this class of systems we describe how to obtain an impedanceâ€¦ (More)

- Hans Zwart
- Systems & Control Letters
- 2005

Sufficient conditions for the finite and infinite-time admissibility of an observation operator are given. It is shown that the estimates of Weiss are close to being sufficient. If the semigroup isâ€¦ (More)

- Gjerrit Meinsma, Hans Zwart
- IEEE Trans. Automat. Contr.
- 2000

A mixed sensitivity problem is solved for dead-time systems. It is shown that for a given bound on the -norm causal stabilizing controllers exist that achieve this bound if and only if a relatedâ€¦ (More)

- Javier Andres Villegas, Hans Zwart, Yann Le Gorrec, Bernhard Maschke
- IEEE Transactions on Automatic Control
- 2009

We study a class of partial differential equations (with variable coefficients) on a one dimensional spatial domain with control and observation at the boundary. For this class of systems we provideâ€¦ (More)

- Hans Zwart
- Systems & Control Letters
- 2004

where A is the infinitesimal generator of the C0-semigroup T (t) on the state space X, B is a bounded linear operator from input space U to X, C is a bounded linear operator from X to the outputâ€¦ (More)

We study hyperbolic partial differential equations on a one dimensional spatial domain with control and observation at the boundary. Using the idea of feedback we show these systems are well-posed inâ€¦ (More)

- Richard Rebarber, Hans Zwart
- MCSS
- 1998