Exponential stability of a class of boundary control systems (2009)
Villegas, J.A., Zwart, H.J., Le Gorrec, Y., Maschke, B.
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 provide...
Well-posedness and regularity for a class of hyperbolic boundary control systems (2006)
Zwart, H.J., Le Gorrec, Y., Maschke, B.M.J., Villegas, J.A.
We study a class of hyperbolic partial differential equations on a one dimensional spatial domain with control and observation at the boundary. Using the idea of feedback we show this class of...
Villegas, J.A., Le Gorrec, Y., Zwart, H.J., Maschke, B.M.J.
In this paper we study a class of partial differential equations (PDE's), which includes Sturm-Liouville systems and diffusion equations. From this class of PDE's we define systems with control and...
Dissipative boundary control systems with application to distributed parameters reactors (2006)
Le Gorrec, Y., Maschke, B.M.J., Villegas, J.A., Zwart, H.J.
In this paper we consider distributed parameter physical systems composed of a reversible part associated with a skew-symmetric operator J as Hamiltonian systems and a symmetric operator associated...
Stability and Stabilization of a Class of Boundary Control Systems (2005)
Villegas, J.A., Zwart, H.J., Le Gorrec, Y., Maschke, B.M.
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 impedance...
Stability and Stabilization of a Class of Boundary Control Systems (2005)
Villegas, MSc. J.A., Zwart, Dr. H.J., Le Gorrec, Y., Maschke, Dr. B.M., Schaft Van Der, Prof.dr. A.J.
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 impedance...
Stability and Stabilization of a Class of Boundary Control Systems (2005)
Villegas, J.A., Zwart, H.J., Le Gorrec, Y., Maschke, B.M., Schaft Van Der, A.J.
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 impedance...
Boundary Control Systems and the System Node (2005)
Villegas, J.A., Le Gorrec, Y., Zwart, H.J.
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...
Le Gorrec, Y., Zwart, H.J., Maschke, B.M.J.
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 Dirac...
Le Gorrec, Y., Zwart, H.J., Maschke, B.M.J.
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 Dirac...