Well-Posedness of Boundary Control Systems
Date
2003-01-01
Authors
Cheng, Ada
Morris, Kirsten
Advisor
Journal Title
Journal ISSN
Volume Title
Publisher
Society for Industrial and Applied Mathematics
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 to uniform boundedness of the solution to a related elliptic problem. This is shown for a class of boundary control systems with Dirichlet, Neumann, or Robin boundary control.
Description
© Society for Industrial and Applied Mathematics.
Keywords
infinite-dimensional systems, boundary control, input/output stability, Dependence of solutions on initial and boundary data, parameters, Systems governed by partial differential equations