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Well-Posedness of Boundary Control Systems

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ChengMorris.pdf (223.75 KB)

Date

2003-01-01

Authors

Cheng, Ada
Morris, Kirsten

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

LC Keywords

Citation

URI

https://doi.org/10.1137/S0363012902384916
 http://hdl.handle.net/10012/12859

Collections

Waterloo Research
Applied Mathematics