- Title
- Input-to-state stability, integral input-to-state stability, and unbounded level sets
- Creator
- Kellett, Christopher M.; Wirth, Fabian R.; Dower, Peter M.
- Relation
- 9th IFAC Symposium on Nonlinear Control Systems (NOLCOS 2013). Proceedings of the 9th 9th IFAC Symposium on Nonlinear Control Systems [presented in IFAC Proceedings Volumes, Vol. 46, No. 23] (Toulouse, France 4-6 September, 2013) p. 38-43
- Relation
- ARC.FT110100746 http://purl.org/au-research/grants/arc/FT110100746
- Publisher Link
- http://dx.doi.org/10.3182/20130904-3-FR-2041.00046
- Publisher
- Elsevier
- Resource Type
- conference paper
- Date
- 2013
- Description
- We provide partial Lyapunov characterizations for a recently proposed generalization of input-to-state and integral input-to-state stability (ISS and iISS, respectively). This generalization relies on the notion of stability with respect to two measures originally introduced by Movchan [1960]. We show that the two classical Lyapunov characterizations of ISS-type properties, i.e., decrease conditions in an implication or dissipative form, correspond to ISS and iISS, respectively. We also demonstrate via an example that, for the generalization considered here, ISS does not necessarily imply iISS.
- Subject
- Lyapunov characterizations; input-to-state stability; integral input-to-state stability
- Identifier
- http://hdl.handle.net/1959.13/1341076
- Identifier
- uon:28652
- Identifier
- ISBN:9783902823472
- Language
- eng
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