Title :
Stability and Stabilization of a Class of Boundary Control Systems
Author :
Villegas, J.A. ; Zwart, H. ; Le Gorrec, Y. ; Maschke, B. ; Van der Schaft, A.J.
Author_Institution :
Faculty of Electrical Engineering, Mathematics and Computer Science, University of Twente, 7500 AE Enschede, The Netherlands j.a.villegas@math.utwente.nl
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.
Keywords :
Asymptotic stability; Computer science; Control systems; Energy resolution; Feedback; Impedance; Mathematics; Notice of Violation; Partial differential equations; Scattering;
Conference_Titel :
Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on
Print_ISBN :
0-7803-9567-0
DOI :
10.1109/CDC.2005.1582762
