Well-posedness of boundary control systems
| dc.contributor.author | Cheng, Ada | en |
| dc.date.accessioned | 2006-07-28T20:12:59Z | |
| dc.date.available | 2006-07-28T20:12:59Z | |
| dc.date.issued | 2000 | en |
| dc.date.submitted | 2000 | en |
| dc.description.abstract | Boundary control systems are an important class of infinite dimensional control systems. A key question is whether the mappings from input state, input/output, state/input and initial state/final state are well-defined bounded linear maps. When all four mappings are well-defined and bounded, the problem is said to be well-posed. This thesis examines boundedness of the input/output map. Continuity of the input/output map for a boundary control system is shown through the system transfer function. Our approach transforms the question of boundedness of the input/output map of a boundary control system into boundedness of the solution to a related elliptic problem. Boundedness is shown for a class of boundary control systems with Dirichlet, Neumann or Robin boundary control. Use of the transfer function in approximations is also demonstrated. | en |
| dc.format | application/pdf | en |
| dc.format.extent | 3533453 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.uri | http://hdl.handle.net/10012/548 | |
| dc.language.iso | en | en |
| dc.pending | false | en |
| dc.publisher | University of Waterloo | en |
| dc.rights | Copyright: 2000, Cheng, Ada. All rights reserved. | en |
| dc.subject | Harvested from Collections Canada | en |
| dc.title | Well-posedness of boundary control systems | en |
| dc.type | Doctoral Thesis | en |
| uws-etd.degree | Ph.D. | en |
| uws.peerReviewStatus | Unreviewed | en |
| uws.scholarLevel | Graduate | en |
| uws.typeOfResource | Text | en |
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