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

M. Lazar; W.P.M.H. Heemels; A.R. Teel

doi:10.1109/TAC.2012.2231611

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

M. Lazar, W.P.M.H. Heemels, A.R. Teel

Research output: Contribution to journal › Article › Academic › peer-review

18 Citations (Scopus)

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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 language	English
Pages (from-to)	1609-1613
Number of pages	5
Journal	IEEE Transactions on Automatic Control
Volume	58
Issue number	6
DOIs	https://doi.org/10.1109/TAC.2012.2231611
Publication status	Published - 2013

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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.",

author = "M. Lazar and W.P.M.H. Heemels and A.R. Teel",

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AU - Heemels, W.P.M.H.

AU - Teel, A.R.

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AB - 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.

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DO - 10.1109/TAC.2012.2231611

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