- Title
- A small-gain feedback interconnection for bilinear systems
- Creator
- Dower, Peter M.; Kellett, Christopher M.
- Relation
- 2015 5th Australian Control Conference (AUCC). Proceedings of the 2015 5th Australian Control Conference (Gold Coast, Qld 5-6 November, 2016) p. 126-130
- Relation
- ARC.DP12010549 & ARC FT110100746
- Relation
- http://www.aucc.org.au/AUCC2015/
- Publisher
- Institute of Electrical and Electronics Engineers (IEEE)
- Resource Type
- conference paper
- Date
- 2015
- Description
- Recently it has been shown that general bilinear systems satisfy a nonlinear ℒ₂-gain property, which is a qualitatively equivalent special case of the more general integral input-to-state stability (iISS) property. By exploiting a small-gain theorem that attends this nonlinear ℒ₂-gain property, a nontrivial example of a feedback interconnection for general bilinear systems is constructed that preserves this nonlinear ℒ₂-gain property, and hence iISS, in closed loop.
- Subject
- bilinear systems; closed loop systems; feedback; interconnected systems; nonliner control systems; stability
- Identifier
- http://hdl.handle.net/1959.13/1315592
- Identifier
- uon:22966
- Identifier
- ISBN:9781922107695
- Language
- eng
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