https://ogma.newcastle.edu.au/vital/access/ /manager/Index en-au 5 Equivalences of stability properties for discrete-time nonlinear systems https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:23381 Wed 11 Apr 2018 11:40:41 AEST ]]> Qualitative equivalences of ISS and l(p)-gain stability properties for discrete-time nonlinear systems https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:34470 p-gain properties for discrete-time systems via nonlinear changes of coordinates. Prior to that, certain summation-to-summation estimates are shown to be equivalent to the standard definitions of ISS and integral ISS (iISS) which lead to sufficient Lyapunov function conditions to verify lp-gain properties. Combined with known results on the equivalence of 0-input global asymptotic stability and iISS, and a superposition principle, we subsequently outline interesting implicative relationships between various discrete-time robust stability properties.]]> Thu 14 Mar 2019 16:50:03 AEDT ]]> Convergence properties for discrete-time nonlinear systems https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:36466 Sun 17 May 2020 17:44:59 AEST ]]> Incremental stability properties for discrete-time systems https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:29242 Sat 24 Mar 2018 07:36:50 AEDT ]]> Analysis of discrete-time nonlinear ℓ₂-gain bounds via dynamic programming https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:29309 Sat 24 Mar 2018 07:34:22 AEDT ]]> Input-to-state stability with respect to two measurement functions: discrete-time systems https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:23651 Sat 24 Mar 2018 07:17:52 AEDT ]]> A discrete-time strong implication-form Lyapunov function for ISS systems with respect to positive semidefinite measurement functions https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:22967 Sat 24 Mar 2018 07:15:21 AEDT ]]>