Stability and Stabilization of a Class of Boundary Control Systems


Villegas, J.A. and Zwart, H.J. and Le Gorrec, Y. and Maschke, B.M. and Schaft, A.J. van der (2005) Stability and Stabilization of a Class of Boundary Control Systems. In: 44th IEEE Conference on Decision and Control and the 2005 European Control Conference (CDC-ECC '05), 12-15 December 2005, Seville, Spain (pp. pp. 3850-3855).

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Abstract: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 energy-preserving system, as well as scattering energy-preserving system. For the first type of systems we consider (static and dynamic) feedback stabilization by means of boundary control. For the scattering energy-preserving systems we give conditions for which the system is either asymptotically or exponentially stable.
Item Type:Conference or Workshop Item
Copyright:©2005 IEEE
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Metis ID: 225811