Abstract
Path-connectedness with respect to the topology induced by the ν-gap metric underpins a recent robustness result for uncertain feedback interconnections of transfer functions in the Callier-Desoer algebra; i.e. possibly distributed-parameter with only finitely many unstable poles. In this paper, we establish path-connectedness of the following uncertainty sets of such transfer functions: diagonally structured sets with path-connected entries; arbitrarily large H∞- norm balls; and suficiently small ν-gap metric balls. Proof of the latter relies on the existence of a certain J-spectral factorisation, which is also established herein.
| Original language | English (US) |
|---|---|
| Title of host publication | Proceedings of the 18th IFAC World Congress |
| Publisher | IFAC Secretariat |
| Pages | 3366-3371 |
| Number of pages | 6 |
| Edition | 1 PART 1 |
| ISBN (Print) | 9783902661937 |
| DOIs | |
| State | Published - 2011 |
Publication series
| Name | IFAC Proceedings Volumes (IFAC-PapersOnline) |
|---|---|
| Number | 1 PART 1 |
| Volume | 44 |
| ISSN (Print) | 1474-6670 |
Bibliographical note
Funding Information:★This work was supported in part by the Australian Research Council (DP0880494).
Keywords
- Distributed-parameter uncertainty
- Feedback
- Path-connectedness
- ν-gap metric
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