Further input-to-state stability subtleties for discrete-time systems

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Abstract

This technical note considers input-to-state stability analysis of discrete-time systems using continuous Lyapunov functions. The main result reveals a relation between existence of a continuous Lyapunov function and inherent input-to-state stability on compact sets with respect to both inner and outer perturbations. If the Lyapunov function is K8-continuous, the result applies to unbounded sets as well.
Original languageEnglish
Pages (from-to)1609-1613
Number of pages5
JournalIEEE Transactions on Automatic Control
Volume58
Issue number6
DOIs
Publication statusPublished - 2013

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