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- W2498367050 abstract "Abstract Several qualitative equivalences are demonstrated between various robust stability properties for discrete-time nonlinear systems. In particular, two different summation-to-summation estimates are shown to be equivalent to the standard definitions 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." @default.
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- W2498367050 date "2015-01-01" @default.
- W2498367050 modified "2023-09-24" @default.
- W2498367050 title "Equivalences of Stability Properties for Discrete-Time Nonlinear Systems" @default.
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- W2498367050 doi "https://doi.org/10.1016/j.ifacol.2015.09.283" @default.
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