- Title
- Nonlinear ℒ2-gain verification for bilinear systems
- Creator
- Dower, Peter M.; Kellett, Christopher M.
- Relation
- Australian Control Conference (AUCC 2014). Proceedings of the 2014 Australian Control Conference (Canberra, A.C.T. 17-18 November, 2014) p. 227-232
- Relation
- http://www.aucc.org.au/AUCC2014/
- Publisher
- Engineers Australia
- Resource Type
- conference paper
- Date
- 2014
- Description
- A general class of bilinear systems is shown to satisfy a nonlinear ℒ2-gain property that naturally generalizes the standard (linear) ℒ2-gain inequality. This property is demonstrated via direct construction of appropriate transient and gain bounds, and by the application of existing dissipation-based verification results that involve the solution of a Hamilton-Jacobi-Bellman partial differential equation. An example illustrating the obtained bounds is also included, along with a discussion concerning interconnections of such systems.
- Subject
- nonlinear gain; stability; nonlinera systems
- Identifier
- http://hdl.handle.net/1959.13/1298130
- Identifier
- uon:19588
- Identifier
- ISBN:9781922107398
- Language
- eng
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