Title :
Well-posedness of boundary control systems
Author :
Cheng, Ada ; Morris, Kirsten
Author_Institution :
Dept. of Sci. & Math., Kettering Univ., Flint, MI, USA
Abstract :
Continuity of the input/output map for boundary control systems is shown through the system transfer function. Our approach transforms the question of continuity of the input/output map of a boundary control system into boundedness of the solution to a related elliptic problem. This is shown for a class of boundary control systems with Neumann control or Robin boundary control.
Keywords :
multidimensional systems; transfer functions; Neumann control; Robin control; boundary control systems; elliptic problem; input/output map continuity; solution boundedness; transfer function; well-posedness; Active noise reduction; Annealing; Boundary value problems; Control systems; Frequency domain analysis; Linear systems; Process control; State-space methods; Transfer functions; Vibration control;
Conference_Titel :
Decision and Control, 2004. CDC. 43rd IEEE Conference on
Print_ISBN :
0-7803-8682-5
DOI :
10.1109/CDC.2004.1428901