- Title
- Relationships between subclasses of integral input-to-state stability
- Creator
- Kellett, Christopher M.; Dower, Peter M.; Ito, Hiroshi
- Relation
- ARC.FT1101000746
- Relation
- IEEE Transactions on Automatic Control Vol. 62, Issue 5, p. 2476-2482
- Publisher Link
- http://dx.doi.org/10.1109/TAC.2016.2598165
- Publisher
- Institute of Electrical and Electronics Engineers (IEEE)
- Resource Type
- journal article
- Date
- 2017
- Description
- A certain “qualitative equivalence” has been recently demonstrated between integral input-to-state stability (iISS) and a nonlinear L₂ -gain property. Furthermore, it has been observed that the properties of strong iISS and nonlinear L₂ -gain are preserved when multiple systems satisfying the respective property are connected in cascade. This technical note clarifies the relationships between various input-to-state stability and (non)linear Lp-gain properties.
- Subject
- integral input-to-state stability; nonlinear Lp-gain; Lyapunov methods
- Identifier
- http://hdl.handle.net/1959.13/1394555
- Identifier
- uon:33720
- Identifier
- ISSN:0018-9286
- Language
- eng
- Reviewed
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