- Title
- Equivalences of stability properties for discrete-time nonlinear systems
- Creator
- Tran, Duc N.; Kellett, Christopher M.; Dower, Peter M.
- Relation
- 1st IFAC Conference on Modelling, Identification and Control of Nonlinear Systems (MICNON 2015). Proceedings of the 1st IFAC Conference on Modelling, Identification and Control of Nonlinear Systems [presented in IFAC-PapersOnLine, Vol. 48 No. 11] (Saint Petersburg, Russia 24-26 June, 2015) p. 772-777
- Publisher Link
- http://dx.doi.org/10.1016/j.ifacol.2015.09.283
- Publisher
- Elsevier
- Resource Type
- conference paper
- Date
- 2015
- Description
- Several qualitative equivalences are demonstrated between various robust stability prop-erties for discrete-time nonlinear systems. In particu-lar, two different summation-to-summation estimates are shown to be equivalent to the standard defini-tions of Input-to-State Stability (ISS) and integral ISS (iISS), respectively. Furthermore, ISS and iISS are shown to be qualitatively equivalent, via a nonlinear change of coordinates, to linear and nonlinear l₂-gain properties, respectively. These equivalences, together with a previous result on the equivalence of 0-input global asymptotic stability and iISS provide interesting relationships between discrete-time robust stability properties that do not hold in continuous-time.
- Subject
- stability properties; discrete-time nonlinear systems
- Identifier
- http://hdl.handle.net/1959.13/1317275
- Identifier
- uon:23381
- Identifier
- ISSN:2405-8968
- Language
- eng
- Full Text
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